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William Thomson

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. William Thomson, 2001. "A Guide for the Young Economist," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262700794, December.

    Mentioned in:

    1. A Guide for the Young Economist
      by Martin Ryan in Geary Behaviour Centre on 2009-02-10 04:45:00
    2. A Guide For The Young Economist
      by admin in Simoleon Sense on 2009-02-11 06:37:37

Working papers

  1. William Thomson, 2015. "For claims problems, another compromise between the proportional and constrained equal awards rules," RCER Working Papers 592, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    2. René VAN DEN BRINK & Juan D. MORENO-TERNERO, 2017. "The reverse TAL-family of rules for bankruptcy problems," LIDAM Reprints CORE 2873, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Gustavo Bergantinos & Juan D. Moreno-Ternero, 2023. "Anonymity in sharing the revenues from broadcasting sports leagues," Papers 2303.17897, arXiv.org.
    4. Wulf Gaertner & Richard Bradley & Yongsheng Xu & Lars Schwettmann, 2019. "Against the proportionality principle: Experimental findings on bargaining over losses," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-18, July.
    5. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    6. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2019. "A family of rules to share the revenues from broadcasting sport events," MPRA Paper 94310, University Library of Munich, Germany, revised 04 Jun 2019.
    7. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "Reassignment-proof rules for land rental problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 173-193, March.
    8. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    9. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2015. "Non-manipulable rules for land rental problems," MPRA Paper 67334, University Library of Munich, Germany.
    10. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Compromising to share the revenues from broadcasting sports leagues," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 57-74.

  2. Nanyang Bu & Siwei Chen & William Thomson, 2014. "Merging and splitting endowments in object assignment problems," RCER Working Papers 587, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Altuntaş, Açelya & Phan, William & Tamura, Yuki, 2023. "Some characterizations of Generalized Top Trading Cycles," Games and Economic Behavior, Elsevier, vol. 141(C), pages 156-181.

  3. William Thomson, 2013. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update," RCER Working Papers 578, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Jaume García-Segarra & Miguel Ginés-Vilar, 2023. "Additive adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 93-116, March.
    2. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices," Group Decision and Negotiation, Springer, vol. 30(5), pages 1133-1159, October.
    3. Alex Krumer & Juan D. Moreno-Ternero, 2023. "The allocation of additional slots for the FIFA World Cup," Working Papers 23.05, Universidad Pablo de Olavide, Department of Economics.
    4. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.
    5. Trudeau, Christian, 2018. "From the bankruptcy problem and its Concede-and-Divide solution to the assignment problem and its Fair Division solution," Games and Economic Behavior, Elsevier, vol. 108(C), pages 225-238.
    6. Yuzhi Yang & Erik Ansink & Jens Gudmundsson, 2023. "How to Pollute a River If You Must," Tinbergen Institute Discussion Papers 23-036/VIII, Tinbergen Institute, revised 01 Jun 2024.
    7. Javier Arin & Juan Miguel Benito, 2012. "Lorenz and lexicographic maximal allocations for bankruptcy problems," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1202, Departamento de Economía - Universidad Pública de Navarra.
    8. Stefano Moretti & Raja Trabelsi, 2021. "A Double-Weighted Bankruptcy Method to Allocate CO2 Emissions Permits," Post-Print hal-03835536, HAL.
    9. Juan D. Moreno-Ternero & Juan Vidal-Puga, 2020. "Aggregator Operators for Dynamic Rationing," Working Papers 20.01, Universidad Pablo de Olavide, Department of Economics.
    10. Andrea Gallice, 2022. "Bankruptcy Problems with Self-Serving Biased Reference Points," Carlo Alberto Notebooks 683 JEL Classification: D, Collegio Carlo Alberto.
    11. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    12. Peter Csoka & P. Jean-Jacques Herings, 2017. "An Axiomatization of the Proportional Rule in Financial Networks," CERS-IE WORKING PAPERS 1701, Institute of Economics, Centre for Economic and Regional Studies.
    13. Péter Csóka & P. Jean-Jacques Herings, 2022. "Centralized Clearing Mechanisms in Financial Networks: A Programming Approach," CERS-IE WORKING PAPERS 2208, Institute of Economics, Centre for Economic and Regional Studies.
    14. Jianan Qin & Xiang Fu & Shaoming Peng & Sha Huang, 2020. "An Integrated Decision Support Framework for Incorporating Fairness and Stability Concerns into River Water Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(1), pages 211-230, January.
    15. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On proportionality in multi-issue problems with crossed claims," Papers 2202.09877, arXiv.org.
    16. Arantza Estévez-Fernández & José Manuel Giménez-Gómez & María José Solís-Baltadano, 2019. "Sequential bankruptcy problems," Tinbergen Institute Discussion Papers 19-076/II, Tinbergen Institute.
    17. Ketelaars, Martijn & Borm, Peter & Quant, Marieke, 2019. "Decentralization and mutual liability rules," Discussion Paper 2019-035, Tilburg University, Center for Economic Research.
    18. Mariotti, Marco & Wen, Quan, 2021. "A noncooperative foundation of the competitive divisions for bads," Journal of Economic Theory, Elsevier, vol. 194(C).
    19. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    20. Vito Fragnelli & Ewa Kiryluk-Dryjska, 2019. "Rationing methods for allocating the European Union’s rural development funds in Poland," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 36(1), pages 295-322, April.
    21. Wulf Gaertner & Lars Schwettmann, 2017. "Burden sharing in deficit countries: a questionnaire-experimental investigation," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 8(2), pages 113-144, June.
    22. Zhengxing Zou & Rene van den Brink, 2020. "Sharing the Surplus and Proportional Values," Tinbergen Institute Discussion Papers 20-014/II, Tinbergen Institute.
    23. Gustavo Bergantiños & Jose María Chamorro & Leticia Lorenzo & Silvia Lorenzo‐Freire, 2018. "Mixed rules in multi‐issue allocation situations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(1), pages 66-77, February.
    24. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2021. "Taxation behind the veil of ignorance," Working Papers 21.10, Universidad Pablo de Olavide, Department of Economics.
    25. O. Tejada & M. Álvarez-Mozos, 2016. "Vertical syndication-proof competitive prices in multilateral assignment markets," Review of Economic Design, Springer;Society for Economic Design, vol. 20(4), pages 289-327, December.
    26. Juan D. Moreno-Ternero & Min-Hung Tsay & Chun-Hsien Yeh, 2020. "A strategic justification of the Talmud rule based on lower and upper bounds," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1045-1057, December.
    27. Grundel, S., 2015. "Essays on cooperation in resource allocation and scheduling," Other publications TiSEM c2d78915-6b6f-4f8b-b601-0, Tilburg University, School of Economics and Management.
    28. Ketelaars, Martijn & Borm, Peter, 2021. "On the Unification of Centralized and Decentralized Clearing Mechanisms in Financial Networks," Other publications TiSEM 12e804bf-7091-4cf7-afd6-a, Tilburg University, School of Economics and Management.
    29. Duro, Juan Antonio & Giménez-Gómez, José-Manuel & Vilella, Cori, 2020. "The allocation of CO2 emissions as a claims problem," Energy Economics, Elsevier, vol. 86(C).
    30. René VAN DEN BRINK & Juan D. MORENO-TERNERO, 2017. "The reverse TAL-family of rules for bankruptcy problems," LIDAM Reprints CORE 2873, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    31. Victor Ginsburgh & Juan D. Moreno-Ternero, 2018. "On Poverty and the International Allocation of Development Aid," Working Papers ECARES 2018-23, ULB -- Universite Libre de Bruxelles.
    32. R. Pablo Arribillaga & G. Bergantiños, 2022. "Cooperative and axiomatic approaches to the knapsack allocation problem," Annals of Operations Research, Springer, vol. 318(2), pages 805-830, November.
    33. Dietzenbacher, Bas, 2017. "Bankruptcy Games with Nontransferable Utility," Other publications TiSEM 1cc9f5ff-f889-43ec-93af-c, Tilburg University, School of Economics and Management.
    34. JU, Biung-Ghi & MORENO-TERNERO, Juan, 2014. "Fair allocation of disputed properties," LIDAM Discussion Papers CORE 2014024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    35. Giménez Gómez, José M. (José Manuel) & Peris, Josep E. & Solís Baltodano, María José, 2017. "Resource allocation with warranties in claims problems," Working Papers 2072/292437, Universitat Rovira i Virgili, Department of Economics.
    36. Stovall, John E., 2020. "Equal sacrifice taxation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 55-75.
    37. Gallo, Oihane & Inarra, Elena, 2018. "Rationing rules and stable coalition structures," Theoretical Economics, Econometric Society, vol. 13(3), September.
    38. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2016. "Entitlement theory of justice and end-state fairness in the allocation of goods," UMASS Amherst Economics Working Papers 2016-14, University of Massachusetts Amherst, Department of Economics.
    39. Gutiérrez, E. & Llorca, N. & Sánchez-Soriano, J. & Mosquera, M., 2018. "Sustainable allocation of greenhouse gas emission permits for firms with Leontief technologies," European Journal of Operational Research, Elsevier, vol. 269(1), pages 5-15.
    40. Andrea Gallice, 2019. "Bankruptcy problems with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 311-336, March.
    41. Csoka, Péter & Herings, P. Jean-Jacques, 2016. "Decentralized Clearing in Financial Networks (RM/16/005-revised-)," Research Memorandum 037, Maastricht University, Graduate School of Business and Economics (GSBE).
    42. Victor Ginsburgh & Juan D. Moreno‐Ternero, 2018. "Compensation schemes for learning a Lingua Franca in the European Union," The World Economy, Wiley Blackwell, vol. 41(7), pages 1775-1789, July.
    43. Wulf Gaertner & Richard Bradley & Yongsheng Xu & Lars Schwettmann, 2019. "Against the proportionality principle: Experimental findings on bargaining over losses," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-18, July.
    44. Giménez-Gómez, José-Manuel & Osorio, Antonio & Peris, Josep Enric, 2013. "From Bargaining Solutions to Claims Rules: A Proportional Approach," QM&ET Working Papers 13-2, University of Alicante, D. Quantitative Methods and Economic Theory.
    45. Barry O'Neill, 2014. "Networks of Rights in Conflict: A Talmudic Example," Discussion Paper Series dp677, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    46. Qianqian Kong & Hans Peters, 2023. "Sequential claim games," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(3), pages 955-975, September.
    47. Izquierdo, Josep M. & Timoner, Pere, 2019. "Decentralized rationing problems and the proportional rule," Economics Letters, Elsevier, vol. 175(C), pages 88-91.
    48. Chatterjee, Siddhartha & Ertemel, Sinan & Kumar, Rajnish, 2021. "Parametric Rules for State Contingent Claims," QBS Working Paper Series 2021/03, Queen's University Belfast, Queen's Business School.
    49. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    50. Flores-Szwagrzak, Karol & Østerdal, Lars Peter, 2024. "Rationalizing Sharing Rules," Working Papers 17-2024, Copenhagen Business School, Department of Economics.
    51. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    52. Osório, António (António Miguel), 2017. "Self-interest and Equity Concerns: A Behavioural Allocation Rule for Operational Problems," Working Papers 2072/290757, Universitat Rovira i Virgili, Department of Economics.
    53. Giménez Gómez, José M. (José Manuel) & Blanco Gil, Carmen & Sánchez García, Juan Francisco, 2016. "New insights on empirical conflicting claims problems," Working Papers 2072/261530, Universitat Rovira i Virgili, Department of Economics.
    54. Juan D. Moreno-Ternero, 2017. "A Talmudic Approach to Bankruptcy Problems," Working Papers 17.01, Universidad Pablo de Olavide, Department of Economics.
    55. Arantza Estévez-Fernández & Peter Borm & M. Gloria Fiestras-Janeiro, 2020. "Nontransferable utility bankruptcy games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 154-177, April.
    56. Sinan Ertemel & Rajnish Kumar, 2018. "Proportional rules for state contingent claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 229-246, March.
    57. Dietzenbacher, Bas & Borm, Peter & Estevez Fernandez, M.A., 2017. "NTU-Bankruptcy Problems : Consistency and the Relative Adjustment Principle," Other publications TiSEM f023d53e-b84f-4520-aa5e-9, Tilburg University, School of Economics and Management.
    58. Thomson, William, 2013. "A characterization of a family of rules for the adjudication of conflicting claims," Games and Economic Behavior, Elsevier, vol. 82(C), pages 157-168.
    59. Peter Csoka & Ferenc Illes & Tamas Solymosi, 2020. "On the Shapley value of liability games," CERS-IE WORKING PAPERS 2001, Institute of Economics, Centre for Economic and Regional Studies.
    60. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    61. Morgenstern, Ilan & Domínguez, Diego, 2019. "A characterization of the random arrival rule for bankruptcy problems," Economics Letters, Elsevier, vol. 174(C), pages 214-217.
    62. Karol Flores-Szwagrzak & Jaume García-Segarra & Miguel Ginés-Vilar, 2020. "Priority and proportionality in bankruptcy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 559-579, April.
    63. Giménez Gómez, José M. (José Manuel) & Subiza, Begoña, 2016. "A `solidarity' approach to the problem of sharing a network cost," Working Papers 2072/290742, Universitat Rovira i Virgili, Department of Economics.
    64. Thomson, William, 2024. "Cost allocation and airport problems," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 17-31.
    65. Bossert, Walter & Peters, Hans, 2017. "Choice on the simplex domain," Research Memorandum 030, Maastricht University, Graduate School of Business and Economics (GSBE).
    66. Elisenda Molina & Juan Tejada & Tom Weiss, 2022. "Some game theoretic marketing attribution models," Annals of Operations Research, Springer, vol. 318(2), pages 1043-1075, November.
    67. Saavedra-Nieves, Alejandro & Saavedra-Nieves, Paula, 2020. "On systems of quotas from bankruptcy perspective: the sampling estimation of the random arrival rule," European Journal of Operational Research, Elsevier, vol. 285(2), pages 655-669.
    68. José-Manuel Giménez-Gómez & Jordi Teixidó-Figueras & Cori Vilella, 2016. "The global carbon budget: a conflicting claims problem," Climatic Change, Springer, vol. 136(3), pages 693-703, June.
    69. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2017. "Duality in land rental problems," MPRA Paper 80509, University Library of Munich, Germany.
    70. Doudou Gong & Genjiu Xu & Xuanzhu Jin & Loyimee Gogoi, 2022. "A sequential partition method for non-cooperative games of bankruptcy problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 359-379, July.
    71. David Lowing & Kevin Techer, 2022. "Priority relations and cooperation with multiple activity levels," Post-Print hal-04097838, HAL.
    72. Csóka, Péter, 2018. "Az adósságelengedés modellezése kooperatív játékelmélettel [Modelling debt relief using cooperative game theory]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 768-779.
    73. Sylvain Ferrières, 2016. "Nullified equal loss property and equal division values," Working Papers 2016-06, CRESE.
    74. Ricardo Martínez & Juan D. Moreno-Ternero, 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," Working Papers 22.01, Universidad Pablo de Olavide, Department of Economics.
    75. Steven Kivinen, 2024. "Weak Equity," Graz Economics Papers 2024-04, University of Graz, Department of Economics.
    76. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    77. José-Manuel Giménez-Gómez & Josep Peris, 2014. "Mediation in claims problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 5(4), pages 357-375, November.
    78. Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2023. "(In)efficiency and equitability of equilibrium outcomes in a family of bargaining games," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 175-193, March.
    79. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On priority in multi-issue bankruptcy problems with crossed claims," Papers 2205.00450, arXiv.org, revised Sep 2022.
    80. Csóka, Péter & Herings, Jean-Jacques P., 2016. "Decentralized Clearing in Financial Networks," Corvinus Economics Working Papers (CEWP) 2016/14, Corvinus University of Budapest.
    81. Jens Leth Hougaard & Hervé Moulin, 2018. "Sharing the cost of risky projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 663-679, May.
    82. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    83. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2020. "Constrained welfare egalitarianism in surplus-sharing problems," Discussion Papers on Economics 1/2020, University of Southern Denmark, Department of Economics.
    84. Peters, H.J.M. & Schröder, M.J.W. & Vermeulen, A.J., 2013. "Claim games for estate division problems," Research Memorandum 055, Maastricht University, Graduate School of Business and Economics (GSBE).
    85. Stovall, John E., 2014. "Collective rationality and monotone path division rules," Journal of Economic Theory, Elsevier, vol. 154(C), pages 1-24.
    86. Zhengxing Zou & René Brink & Yukihiko Funaki, 2022. "Sharing the surplus and proportional values," Theory and Decision, Springer, vol. 93(1), pages 185-217, July.
    87. Tamas Solymosi & Balazs Sziklai, 2015. "Universal Characterization Sets for the Nucleolus in Balanced Games," CERS-IE WORKING PAPERS 1512, Institute of Economics, Centre for Economic and Regional Studies.
    88. B. Dietzenbacher & A. Estévez-Fernández & P. Borm & R. Hendrickx, 2021. "Proportionality, equality, and duality in bankruptcy problems with nontransferable utility," Annals of Operations Research, Springer, vol. 301(1), pages 65-80, June.
    89. Arin, J. & Benito-Ostolaza, J. & Inarra, E., 2017. "The reverse Talmud family of rules for bankruptcy Problems: A characterization," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 43-49.
    90. Stefano Moretti & Raja Trabelsi, 2021. "A Double-Weighted Bankruptcy Method to Allocate CO 2 Emissions Permits," Games, MDPI, vol. 12(4), pages 1-21, October.
    91. Gaertner, Wulf & Xu, Yongsheng, 2020. "Loss sharing: Characterizing a new class of rules," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 37-40.
    92. José-manuel Giménez-gómez & Cori Vilella, 2017. "Recursive methods for discrete claims problems," Economics Bulletin, AccessEcon, vol. 37(3), pages 1653-1665.
    93. Csóka, Péter & Jean-Jacques Herings, P., 2019. "Liability games," Games and Economic Behavior, Elsevier, vol. 116(C), pages 260-268.
    94. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "Reassignment-proof rules for land rental problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 173-193, March.
    95. Mirjam Groote Schaarsberg & Hans Reijnierse & Peter Borm, 2018. "On solving mutual liability problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(3), pages 383-409, June.
    96. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    97. Jianan Qin & Xiang Fu & Shaoming Peng & Yuni Xu & Jie Huang & Sha Huang, 2019. "Asymmetric Bargaining Model for Water Resource Allocation over Transboundary Rivers," IJERPH, MDPI, vol. 16(10), pages 1-23, May.
    98. Andrew Mackenzie, 2020. "An axiomatic analysis of the papal conclave," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(3), pages 713-743, April.
    99. Osório, António, 2017. "Self-interest and equity concerns: A behavioural allocation rule for operational problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 205-213.
    100. Pere Timoner Lledó & Josep Maria Izquierdo Aznar, 2015. "Generalized rationing problems and solutions," UB School of Economics Working Papers 2015/329, University of Barcelona School of Economics.
    101. Koster, Maurice & Boonen, Tim J., 2019. "Constrained stochastic cost allocation," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 20-30.
    102. Dwayne Woods, 2023. "The Sponge Cake Dilemma over the Nile: Achieving Fairness in Resource Allocation with Cake Cutting Algorithms," Papers 2310.11472, arXiv.org, revised May 2024.
    103. Tsay, Min-Hung & Yeh, Chun-Hsien, 2019. "Relations among the central rules in bankruptcy problems: A strategic perspective," Games and Economic Behavior, Elsevier, vol. 113(C), pages 515-532.
    104. Mackenzie, Andrew, 2018. "A Game of the Throne of Saint Peter," Research Memorandum 015, Maastricht University, Graduate School of Business and Economics (GSBE).
    105. María José Solíx-Baltodano & Cori Vilella & José Manuel Giménez-Gómez, 2019. "The Catalan Health Budget: A Conflicting Claims Approach," Hacienda Pública Española / Review of Public Economics, IEF, vol. 228(1), pages 35-54, March.
    106. Koster, M., 2005. "Cost Sharing, Differential Games, and the Moulin-Shenker Rule," CeNDEF Working Papers 05-07, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    107. Pedro Calleja & Francesc Llerena, 2022. "Non-manipulability by clones in bankruptcy problems," UB School of Economics Working Papers 2022/426, University of Barcelona School of Economics.
    108. Pedro Gadea-Blanco & José-Manuel Giménez-Gómez & M. Carmen Marco-Gil, 2016. "Compromising in bifocal distribution games: the average value," Theory and Decision, Springer, vol. 81(3), pages 449-465, September.
    109. Liang Yuan & Xia Wu & Weijun He & Yang Kong & Thomas Stephen Ramsey & Dagmawi Mulugeta Degefu, 2022. "A multi-weight fuzzy Methodological Framework for Allocating Coalition Payoffs of Joint Water Environment Governance in Transboundary River Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 3367-3384, July.
    110. Li, Jiawen & Ju, Yuan, 2023. "Divide and choose: An informationally robust strategic approach to bankruptcy problems," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    111. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.
    112. Andrea Gallice, 2020. "Self-Serving Biased Reference Points in Bankruptcy Problems," Working papers 067, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    113. Fatemeh Babaei & Hamidreza Navidi & Stefano Moretti, 2022. "A bankruptcy approach to solve the fixed cost allocation problem in transport systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 332-358, July.
    114. Mputu Losala Lomo, Denis-Robert, 2024. "Fair Division Approach Based on Clustering and Reduction of Inequalities," MPRA Paper 122701, University Library of Munich, Germany.
    115. Ephraim Zehavi & Amir Leshem, 2018. "On the Allocation of Multiple Divisible Assets to Players with Different Utilities," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 253-274, June.
    116. Cano-Berlanga, Sebastián & Giménez-Gómez, José-Manuel & Vilella, Cori, 2017. "Enjoying cooperative games: The R package GameTheory," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 381-393.
    117. José-Manuel Giménez-Gómez & M. Carmen Marco-Gil & Juan-Francisco Sánchez-García, 2022. "New empirical insights into conflicting claims problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 13(4), pages 709-738, December.
    118. Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
    119. Thomson, William, 2016. "A new characterization of the proportional rule for claims problems," Economics Letters, Elsevier, vol. 145(C), pages 255-257.
    120. Timoner, Pere & Izquierdo, Josep M., 2016. "Rationing problems with ex-ante conditions," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 46-52.
    121. Harless, Patrick, 2019. "Efficient rules for probabilistic assignment," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 107-116.
    122. Dietzenbacher, Bas, 2018. "Egalitarian allocation principles," Other publications TiSEM 01be3135-efa6-4f51-b2ef-0, Tilburg University, School of Economics and Management.
    123. Csóka, Péter, 2017. "Az arányos csődszabály karakterizációja körbetartozások esetén [The characterization of the proportional rule in the case of circular liabilities]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 930-942.
    124. Dagmawi Mulugeta Degefu & Weijun He, 2016. "Allocating Water under Bankruptcy Scenario," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(11), pages 3949-3964, September.
    125. Rick K. Acosta & Encarnación Algaba & Joaquín Sánchez-Soriano, 2022. "Multi-issue bankruptcy problems with crossed claims," Annals of Operations Research, Springer, vol. 318(2), pages 749-772, November.
    126. José-Manuel Giménez-Gómez & Josep E. Peris & María-José Solís-Baltodano, 2023. "Resource allocations with guaranteed awards in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 581-602, September.
    127. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.

  4. William Thomson, 2012. "On the axiomatics of resource allocation: Interpreting the consistency principle," RCER Working Papers 573, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Han, Xiang, 2016. "On the consistency of random serial dictatorship," Economics Letters, Elsevier, vol. 145(C), pages 168-171.
    2. Jens Hougaard & Juan Moreno-Ternero & Lars Østerdal, 2013. "Rationing with baselines: the composition extension operator," Annals of Operations Research, Springer, vol. 211(1), pages 179-191, December.
    3. William Thomson, 2014. "Non-bossiness," RCER Working Papers 586, University of Rochester - Center for Economic Research (RCER).
    4. Yuzhi Yang & Erik Ansink & Jens Gudmundsson, 2023. "How to Pollute a River If You Must," Tinbergen Institute Discussion Papers 23-036/VIII, Tinbergen Institute, revised 01 Jun 2024.
    5. Calleja, Pedro & Llerena, Francesc, 2020. "Consistency, weak fairness, and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 28-33.
    6. Guy Barokas, 2022. "Revealed desirability: a novel instrument for social welfare," Theory and Decision, Springer, vol. 93(4), pages 649-661, November.
    7. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    8. Calleja, Pere & Llerena Garrés, Francesc, 2018. "Weak fairness and the Shapley value," Working Papers 2072/306979, Universitat Rovira i Virgili, Department of Economics.
    9. Masahiro KAWASAKI & Ryosuke SAKAI & Tomoya KAZUMURA, 2023. "Sequential dictatorship rules in multi-unit objectassignment problems with money," Discussion papers e-23-007, Graduate School of Economics , Kyoto University.
    10. Hougaard, J. & Moreno-Ternero, J. & Tvede, M. & Osterdal, L., 2015. "Sharing the proceeds from a hierarchical venture," LIDAM Discussion Papers CORE 2015031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Rodrigo A. Velez, 2015. "Sharing an increase of the rent fairly," Working Papers 20151201-001, Texas A&M University, Department of Economics.
    12. Alcalde-Unzu, Jorge & Moreno-Ternero, Juan D. & Weber, Shlomo, 2022. "The measurement of the value of a language," Journal of Economic Theory, Elsevier, vol. 203(C).
    13. JU, Biung-Ghi & MORENO-TERNERO, Juan, 2014. "Fair allocation of disputed properties," LIDAM Discussion Papers CORE 2014024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Christopher P. Chambers & Juan D. Moreno-Ternero, 2021. "Bilateral Redistribution," Working Papers 21.07, Universidad Pablo de Olavide, Department of Economics.
    15. Rodrigo Velez, 2014. "Consistent strategy-proof assignment by hierarchical exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 125-156, May.
    16. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    17. Cho, Wonki Jo & Ju, Biung-Ghi, 2020. "Group identification: An integrated approach," Games and Economic Behavior, Elsevier, vol. 123(C), pages 171-181.
    18. Jorge Alcalde-Unzu & Oihane Gallo & Elena Inarra & Juan D. Moreno-Ternero, 2023. "Solidarity to achieve stability," Papers 2302.07618, arXiv.org, revised Oct 2023.
    19. Moulin, Herve, 2017. "Consistent bilateral assignment," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 43-55.
    20. Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2014. "Solidarity within a Fixed Community," Post-Print halshs-01090487, HAL.
    21. Victor Ginsburgh & Juan D. Moreno‐Ternero, 2018. "Compensation schemes for learning a Lingua Franca in the European Union," The World Economy, Wiley Blackwell, vol. 41(7), pages 1775-1789, July.
    22. Kasajima, Yoichi & Toda, Manabu, 2024. "Singles monotonicity and stability in one-to-one matching problems," Games and Economic Behavior, Elsevier, vol. 143(C), pages 269-286.
    23. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    24. Flores-Szwagrzak, Karol & Østerdal, Lars Peter, 2024. "Rationalizing Sharing Rules," Working Papers 17-2024, Copenhagen Business School, Department of Economics.
    25. Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2016. "Characterizations of Weighted and Equal Division Values," Post-Print halshs-01212085, HAL.
    26. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    27. Juan D. Moreno-Ternero, 2017. "A Talmudic Approach to Bankruptcy Problems," Working Papers 17.01, Universidad Pablo de Olavide, Department of Economics.
    28. Balazs R. Sziklai & Karoly Heberger, 2020. "Apportionment and Districting by Sum of Ranking Differences," CERS-IE WORKING PAPERS 2009, Institute of Economics, Centre for Economic and Regional Studies.
    29. Christopher P. Chambers & Juan D. Moreno-Ternero, 2015. "Taxation and Poverty," Working Papers 15.05, Universidad Pablo de Olavide, Department of Economics.
    30. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    31. Dur, Umut & Paiement, Scott, 2024. "A characterization of the top trading cycles mechanism for the school choice problem," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 93-100.
    32. Calleja, Pedro & Llerena, Francesc, 2024. "Proportional clearing mechanisms in financial systems: An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    33. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    34. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    35. Ricardo Martínez & Juan D. Moreno-Ternero, 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," Working Papers 22.01, Universidad Pablo de Olavide, Department of Economics.
    36. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 197-212, August.
    37. Pedro Calleja & Francesc Llerena, 2023. "Proportional clearing mechanisms in financial systems: an axiomatic approach," UB School of Economics Working Papers 2023/442, University of Barcelona School of Economics.
    38. Hu, Xun-Feng, 2019. "Coalitional surplus desirability and the equal surplus division value," Economics Letters, Elsevier, vol. 179(C), pages 1-4.
    39. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    40. Sylvain Béal & Sylvain Ferrières & Eric Rémila & Philippe Solal, 2016. "Axiomatic characterizations under players nullification," Post-Print halshs-01293700, HAL.
    41. Heo, Eun Jeong, 2014. "Probabilistic assignment problem with multi-unit demands: A generalization of the serial rule and its characterization," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 40-47.
    42. Jens Leth Hougaard & Chiu Yu Ko & Xuyao Zhang, 2017. "A Welfare Economic Interpretation of FRAND," IFRO Working Paper 2017/04, University of Copenhagen, Department of Food and Resource Economics.
    43. Flores-Szwagrzak, Karol & Treibich, Rafael, 2015. "Co-authorship and the Measurement of Individual Productivity," Discussion Papers on Economics 17/2015, University of Southern Denmark, Department of Economics.
    44. Hikaru Kondo & Shigehiro Serizawa, 2015. "Notions of anonymity for object assignment: impossibility theorems," ISER Discussion Paper 0927, Institute of Social and Economic Research, Osaka University.
    45. Hougaard, Jens Leth & Ko, Chiu Yu & Zhang, Xuyao, 2023. "A conceptual model for FRAND royalty setting," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 167-176.
    46. Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
    47. Moulin, Hervé, 2016. "Entropy, desegregation, and proportional rationing," Journal of Economic Theory, Elsevier, vol. 162(C), pages 1-20.
    48. Calleja, Pere & Llerena Garrés, Francesc, 2016. "Consistency distinguishes the (weighted) Shapley value, the (weighted) surplus division value and the prenucleolus," Working Papers 2072/266577, Universitat Rovira i Virgili, Department of Economics.
    49. Yoichi Kasajima & Manabu Toda, 2021. "Singles monotonicity and stability in one-to-one matching problems," Working Papers 2023-1, Waseda University, Faculty of Political Science and Economics.
    50. Erel Segal-Halevi & Balázs R. Sziklai, 2019. "Monotonicity and competitive equilibrium in cake-cutting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 363-401, September.
    51. Masahiro KAWASAKI & Ryosuke SAKAI & Tomoya KAZUMURA, 2024. "Sequential dictatorship rules in multi-unit object assignment problems with money," Discussion papers e-23-007-v2, Graduate School of Economics , Kyoto University.
    52. Balazs Sziklai & Erel Segal-Halevi, 2015. "Resource-monotonicity and Population-monotonicity in Cake-cutting," CERS-IE WORKING PAPERS 1552, Institute of Economics, Centre for Economic and Regional Studies.
    53. Timoner, Pere & Izquierdo, Josep M., 2016. "Rationing problems with ex-ante conditions," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 46-52.
    54. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.
    55. Pedro Calleja & Francesc Llerena, 2019. "Path monotonicity, consistency and axiomatizations of some weighted solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 287-310, March.

  5. William Thomson, 2012. "New variable-population paradoxes for resource allocation," RCER Working Papers 575, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Nanyang Bu & Siwei Chen & William Thomson, 2014. "Merging and splitting endowments in object assignment problems," RCER Working Papers 587, University of Rochester - Center for Economic Research (RCER).
    2. Thomson, William, 2024. "On the manipulability of allocation rules through endowment augmentation," Games and Economic Behavior, Elsevier, vol. 146(C), pages 91-104.
    3. Wang, Xu & Zhu, Lei & Liu, Pengfei, 2021. "Manipulation via endowments: Quantifying the influence of market power on the emission trading scheme," Energy Economics, Elsevier, vol. 103(C).
    4. William Thomson, 2024. "Constrained dictatorial rules are subject to variable-population paradoxes," Theory and Decision, Springer, vol. 97(2), pages 299-310, September.
    5. Fujinaka, Yuji & Wakayama, Takuma, 2018. "Endowments-swapping-proof house allocation," Games and Economic Behavior, Elsevier, vol. 111(C), pages 187-202.

  6. William Thomson, 2010. "Borrowing-proofness of the Lindahl rule in Kolm triangle economies," RCER Working Papers 555, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Altuntaş, Açelya & Phan, William & Tamura, Yuki, 2023. "Some characterizations of Generalized Top Trading Cycles," Games and Economic Behavior, Elsevier, vol. 141(C), pages 156-181.
    2. William Phan, 2019. "Efficient and incentive compatible exchange of real-time information," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 205-242, March.

  7. William Thomson, 2009. "Bargaining and the theory of cooperative games: John Nash and beyond," RCER Working Papers 554, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Ching-jen Sun, 2018. "The bargaining correspondence: when Edgeworth meets Nash," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 337-359, August.
    2. Craig Webb, 2013. "Bargaining with subjective mixtures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 15-39, January.
    3. Maria Gallego & David Scoones, 2011. "Intergovernmental negotiation, willingness to compromise, and voter preference reversals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 591-610, April.
    4. Navarro, Noemí & Veszteg, Róbert F., 2020. "On the empirical validity of axioms in unstructured bargaining," Games and Economic Behavior, Elsevier, vol. 121(C), pages 117-145.
    5. Qin, Cheng-Zhong & Shi, Shuzhong & Tan, Guofu, 2015. "Nash bargaining for log-convex problems," University of California at Santa Barbara, Recent Works in Economics qt5dn8c7hp, Department of Economics, UC Santa Barbara.
    6. Daniele Cassese & Paolo Pin, 2018. "Decentralized Pure Exchange Processes on Networks," Papers 1803.08836, arXiv.org, revised Mar 2022.
    7. Michael R. Caputo, 2016. "Intrinsic Comparative Statics of a Nash Bargaining Solution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-11, December.
    8. Mizukami, Hideki & Wakayama, Takuma, 2020. "Dominant strategy implementation of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 60-67.
    9. Claus-Jochen Haake & Cheng-Zhong Qin, 2018. "On unification of solutions to the bargaining problem," Working Papers CIE 113, Paderborn University, CIE Center for International Economics.
    10. Rong Kang, 2012. "An Axiomatic Approach to Arbitration and its Application in Bargaining Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-34, September.

  8. Rodrigo Velez & William Thomson, 2009. "Let them cheat!," RCER Working Papers 552, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Rodrigo A. Velez, 2017. "Equitable rent division," Working Papers 20170818-001, Texas A&M University, Department of Economics.
    2. Churkin, Andrey & Bialek, Janusz & Pozo, David & Sauma, Enzo & Korgin, Nikolay, 2021. "Review of Cooperative Game Theory applications in power system expansion planning," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    3. JU, Biung-Ghi & MORENO-TERNERO, Juan, 2014. "Fair allocation of disputed properties," LIDAM Discussion Papers CORE 2014024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Velez, Rodrigo A., 2015. "Sincere and sophisticated players in an equal-income market," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1114-1129.
    5. Fujinaka, Yuji & Wakayama, Takuma, 2015. "Maximal manipulation of envy-free solutions in economies with indivisible goods and money," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 165-185.
    6. Rodrigo A. Velez, 2019. "Expressive mechanisms for equitable rent division on a budget," Papers 1902.02935, arXiv.org, revised Apr 2020.

  9. William Thomson, 2007. "Lorenz rankings of rules for the adjudication of conflicting claims," RCER Working Papers 538, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Javier Arin & Juan Miguel Benito, 2012. "Lorenz and lexicographic maximal allocations for bankruptcy problems," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1202, Departamento de Economía - Universidad Pública de Navarra.
    2. Josep M. Izquierdo & Jesús Montes & Carlos Rafels, 2024. "Population Lorenz-monotonic allocation schemes for TU-games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(2), pages 417-436, September.
    3. Duro, Juan Antonio & Giménez-Gómez, José-Manuel & Vilella, Cori, 2020. "The allocation of CO2 emissions as a claims problem," Energy Economics, Elsevier, vol. 86(C).
    4. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    5. Patrick Harless, 2017. "Endowment additivity and the weighted proportional rules for adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 755-781, March.
    6. Kasajima, Yoichi & Velez, Rodrigo A., 2010. "Non-proportional inequality preservation in gains and losses," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1079-1092, November.
    7. Miguel Ángel Mirás Calvo & Iago Núñez Lugilde & Carmen Quinteiro Sandomingo & Estela Sánchez Rodríguez, 2023. "Refining the Lorenz‐ranking of rules for claims problems on restricted domains," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 526-558, September.
    8. Flores-Szwagrzak, Karol & Østerdal, Lars Peter, 2024. "Rationalizing Sharing Rules," Working Papers 17-2024, Copenhagen Business School, Department of Economics.
    9. Giménez-Gómez, José Manuel, 2011. "A way to play bankruptcy problems," Working Papers 2072/169781, Universitat Rovira i Virgili, Department of Economics.
    10. BOSMANS, Kristof & SCHOKKAERT, Erik, 2009. "Equality preference in the claims problem: a questionnaire study of cuts in earnings and pensions," LIDAM Reprints CORE 2166, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Yoichi Kasajima & Rodrigo Velez, 2011. "Reflecting inequality of claims in gains and losses," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 283-295, February.
    12. José M. Jiménez Gómez, 2010. "Why people reach intermediate agreements? Axiomatic and strategic justifications," Working Papers. Serie AD 2010-29, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    13. José-Manuel Giménez-Gómez & Josep Peris, 2014. "Mediation in claims problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 5(4), pages 357-375, November.
    14. Satya R. Chakravarty & Palash Sarkar, 2022. "Inequality minimising subsidy and taxation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 53-67, May.
    15. Junfei Chen & Cong Yu & Miao Cai & Huimin Wang & Pei Zhou, 2020. "Multi-Objective Optimal Allocation of Urban Water Resources While Considering Conflict Resolution Based on the PSO Algorithm: A Case Study of Kunming, China," Sustainability, MDPI, vol. 12(4), pages 1-16, February.
    16. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    17. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan.
    18. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    19. Miguel Ángel Mirás Calvo & Iago Núñez Lugilde & Carmen Quinteiro Sandomingo & Estela Sánchez-Rodríguez, 2023. "Deviation from proportionality and Lorenz-domination for claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 439-467, June.
    20. María José Solíx-Baltodano & Cori Vilella & José Manuel Giménez-Gómez, 2019. "The Catalan Health Budget: A Conflicting Claims Approach," Hacienda Pública Española / Review of Public Economics, IEF, vol. 228(1), pages 35-54, March.
    21. Yinglan Xue & Yan Chen & Dan Cui & Yuxi Xie & Weihua Zeng & Jing Zhang, 2019. "Monthly Allocation of Water Resources and Pollutant Loads in a Basin Based on the Water Footprint and Fallback Bargaining," Sustainability, MDPI, vol. 11(23), pages 1-23, December.
    22. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.
    23. José-Manuel Giménez-Gómez & M. Carmen Marco-Gil & Juan-Francisco Sánchez-García, 2022. "New empirical insights into conflicting claims problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 13(4), pages 709-738, December.

  10. Toru Hokari & William Thomson, 2007. "On properties of division rules lifted by bilateral consistency," RCER Working Papers 536, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Jaume García-Segarra & Miguel Ginés-Vilar, 2023. "Additive adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 93-116, March.
    2. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.
    3. Jens Hougaard & Juan Moreno-Ternero & Lars Østerdal, 2013. "Rationing with baselines: the composition extension operator," Annals of Operations Research, Springer, vol. 211(1), pages 179-191, December.
    4. William Thomson, 2006. "On the Existence of Consistent Rules to Adjudicate Conflicting Claims: A Constructive Geometric Approach," RCER Working Papers 528, University of Rochester - Center for Economic Research (RCER).
    5. HOUGAARD, Jens Leth & MORENO-TERNERO, Juan D. & OSTERDAL, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," LIDAM Reprints CORE 2399, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    7. Rodrigo Velez, 2014. "Consistent strategy-proof assignment by hierarchical exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 125-156, May.
    8. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    9. Rahmi Ilkilic, 2012. "Allocation rules on networks," Documentos de Trabajo 9380, Universidad del Rosario.
    10. William Thomson, 2012. "Lorenz rankings of rules for the adjudication of conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 547-569, August.
    11. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 43-62, February.
    12. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "Rationing in the presence of baselines," Working Papers 12.04, Universidad Pablo de Olavide, Department of Economics.
    13. Thomson, William, 2013. "A characterization of a family of rules for the adjudication of conflicting claims," Games and Economic Behavior, Elsevier, vol. 82(C), pages 157-168.
    14. Marieke Quant & Peter Borm, 2011. "Random conjugates of bankruptcy rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 249-266, February.
    15. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    16. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    17. William Thomson, 2014. "Compromising between the proportional and constrained equal awards rules," RCER Working Papers 584, University of Rochester - Center for Economic Research (RCER).
    18. William Thomson, 2015. "For claims problems, another compromise between the proportional and constrained equal awards rules," RCER Working Papers 592, University of Rochester - Center for Economic Research (RCER).

  11. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.
    2. Juan D. Moreno-Ternero, 2010. "Voting over piece-wise linear tax methods," Working Papers 10.02, Universidad Pablo de Olavide, Department of Economics.
    3. Eun Jeong Heo & Jinhyuk Lee, 2023. "Allocating $$\hbox {CO}_2$$ CO 2 emissions: a dynamic claims problem," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 163-186, February.
    4. René VAN DEN BRINK & Juan D. MORENO-TERNERO, 2017. "The reverse TAL-family of rules for bankruptcy problems," LIDAM Reprints CORE 2873, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. van den Brink, René & Funaki, Yukihiko & van der Laan, Gerard, 2013. "Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties," European Journal of Operational Research, Elsevier, vol. 228(2), pages 413-417.
    6. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    7. Patrick Harless, 2017. "Endowment additivity and the weighted proportional rules for adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 755-781, March.
    8. Kristof Bosmans & Luc Lauwers, 2007. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," Working Papers of Department of Economics, Leuven ces0705, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    9. Huijink, Sybren, 2016. "Cooperation : Vehicle routing and outsouring, games and nucleoni," Other publications TiSEM 56e4dc8a-f5e0-4faa-bd70-4, Tilburg University, School of Economics and Management.
    10. William Thomson, 2012. "Lorenz rankings of rules for the adjudication of conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 547-569, August.
    11. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    12. Juan D. Moreno-Ternero, 2017. "A Talmudic Approach to Bankruptcy Problems," Working Papers 17.01, Universidad Pablo de Olavide, Department of Economics.
    13. Thomson, William, 2013. "A characterization of a family of rules for the adjudication of conflicting claims," Games and Economic Behavior, Elsevier, vol. 82(C), pages 157-168.
    14. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    15. M. Albizuri & Henar Díez & Amaia Sarachu, 2014. "The reverse self-dual serial cost-sharing rule," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 578-599, July.
    16. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    17. Juan D. Moreno‐Ternero & Min‐Hung Tsay & Chun‐Hsien Yeh, 2022. "Strategic justifications of the TAL family of rules for bankruptcy problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 92-102, March.
    18. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2017. "Duality in land rental problems," MPRA Paper 80509, University Library of Munich, Germany.
    19. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    20. Satya R. Chakravarty & Palash Sarkar, 2022. "Inequality minimising subsidy and taxation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 53-67, May.
    21. Peters, H.J.M. & Schröder, M.J.W. & Vermeulen, A.J., 2013. "Claim games for estate division problems," Research Memorandum 055, Maastricht University, Graduate School of Business and Economics (GSBE).
    22. Youngsub Chun & William Thomson, 2004. "Convergence under Replication of Rules to Adjudicate Conflicting Claims," RCER Working Papers 512, University of Rochester - Center for Economic Research (RCER).
    23. Arin, J. & Benito-Ostolaza, J. & Inarra, E., 2017. "The reverse Talmud family of rules for bankruptcy Problems: A characterization," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 43-49.
    24. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "Reassignment-proof rules for land rental problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 173-193, March.
    25. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2015. "Non-manipulable rules for land rental problems," MPRA Paper 67334, University Library of Munich, Germany.
    26. Huijink, S. & Borm, P.E.M. & Kleppe, J. & Reijnierse, J.H., 2015. "Bankruptcy and the per capita nucleolus: The claim-and-right rules family," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 15-31.
    27. LUTTENS, Roland Iwan, 2010. "Lower bounds rule!," LIDAM Discussion Papers CORE 2010069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    28. William Thomson, 2014. "Compromising between the proportional and constrained equal awards rules," RCER Working Papers 584, University of Rochester - Center for Economic Research (RCER).
    29. William Thomson, 2015. "For claims problems, another compromise between the proportional and constrained equal awards rules," RCER Working Papers 592, University of Rochester - Center for Economic Research (RCER).
    30. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.
    31. Ephraim Zehavi & Amir Leshem, 2018. "On the Allocation of Multiple Divisible Assets to Players with Different Utilities," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 253-274, June.
    32. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.

  12. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. GORDON, Sidartha, 2006. "Solidarity in Choosing a Location on a Cycle," Cahiers de recherche 2006-06, Universite de Montreal, Departement de sciences economiques.
    2. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    3. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    4. Juan D. Moreno-Ternero & John E. Roemer, 2011. "A common ground for resource and welfare egalitarianism," Working Papers 11.12, Universidad Pablo de Olavide, Department of Economics.
    5. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 2006-01, Universite de Montreal, Departement de sciences economiques.
    6. Carmen Beviá, 2010. "Manipulation games in economies with indivisible goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 209-222, March.
    7. Miguel Ginés Vilar & Francisco Marhuenda Hurtado, 1998. "Welfarism in specific economic domain," Working Papers. Serie AD 1998-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    8. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 10, pages 459-541, Elsevier.
    9. MANIQUET, François & SPRUMONT, Yves, 2010. "Sharing the cost of a public good: An incentive-constrained axiomatic approach," LIDAM Reprints CORE 2184, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. HOUGAARD, Jens Leth & MORENO-TERNERO, Juan D. & OSTERDAL, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," LIDAM Reprints CORE 2399, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Stefano Moretti & Henk Norde & Kim Pham Do & Stef Tijs, 2002. "Connection problems in mountains and monotonic allocation schemes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 10(1), pages 83-99, June.
    12. Francis Bloch & David Cantala, 2013. "Markovian assignment rules," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01013737, HAL.
    13. Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro & スズムラ, コウタロウ, 2008. "Infinite-horizon choice functions," PIE/CIS Discussion Paper 379, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    14. Diego Dominguez & William Thomson, 2006. "A new solution to the problem of adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 283-307, June.
    15. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    16. Bettina Klaus, 2010. "Competition and Resource Sensitivity in Marriage and Roommate Markets," Cahiers de Recherches Economiques du Département d'économie 10.03, Université de Lausanne, Faculté des HEC, Département d’économie.
    17. Duygu Yengin, 2012. "Egalitarian-equivalent Groves mechanisms in the allocation of heterogenous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 137-160, January.
    18. Schummer, James & Vohra, Rakesh V., 2002. "Strategy-proof Location on a Network," Journal of Economic Theory, Elsevier, vol. 104(2), pages 405-428, June.
    19. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    20. Cato, Susumu, 2010. "Local envy-freeness and equal-income Walrasian allocations," Economics Letters, Elsevier, vol. 107(2), pages 239-241, May.
    21. Enriqueta Aragones, 1992. "A Solution to the Envy-Free Selection Problem in Economies with Indivisible Goods," Discussion Papers 984, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    22. MANIQUET, François, 2009. "Social orderings for the assignment of indivisible objects," LIDAM Reprints CORE 2169, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    23. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    24. Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 57-67.
    25. Sonmez, T., 1995. "Strategy-Proofness in Many-To-One Matching Problems," Papers 95-01, Michigan - Center for Research on Economic & Social Theory.
    26. Rodríguez-Míguez, Eva & Herrero, Carmen & Pinto-Prades, José Luis, 2004. "Using a point system in the management of waiting lists: the case of cataracts," Social Science & Medicine, Elsevier, vol. 59(3), pages 585-594, August.
    27. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
    28. Venkatasubramanian, Venkat & Luo, Yu & Sethuraman, Jay, 2015. "How much inequality in income is fair? A microeconomic game theoretic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 120-138.
    29. Szwagrzak, Karol, 2014. "Strategy-proof market clearing mechanisms," Discussion Papers on Economics 4/2014, University of Southern Denmark, Department of Economics.
    30. Miguel Gines & Francisco Marhuenda, 1996. "Cost monotonic mechanisms," Investigaciones Economicas, Fundación SEPI, vol. 20(1), pages 89-103, January.
    31. Murat Atlamaz & Duygu Yengin, 2008. "Fair Groves mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 573-587, December.
    32. Takashi Hayashi & Toyotaka Sakai, 2009. "Nash implementation of competitive equilibria in the job-matching market," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 453-467, November.
    33. Arnsperger, Christian & de la Croix, David, 1994. "Envy-Minimizing Unemployment Benefits," LIDAM Discussion Papers IRES 1995001, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    34. Duygu Yengin, 2011. "Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds," School of Economics and Public Policy Working Papers 2011-34, University of Adelaide, School of Economics and Public Policy.
    35. Benjamin Ouvrard & Stefan Ambec & Arnaud Reynaud & Stéphane Cezera & Murudaiah Shivamurthy, 2022. "Sharing rules for a common-pool resource in a lab experiment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 605-635, October.
    36. Alexander Nesterov, "undated". "Fairness and Efficiency in a Random Assignment: Three Impossibility Results," BDPEMS Working Papers 2014006, Berlin School of Economics.
    37. Laurence Kranich, 1999. "Measuring Opportunity Inequality with Monetary Transfers," Discussion Papers 99-02, University at Albany, SUNY, Department of Economics.
    38. Yuji Fujinaka & Toyotaka Sakai, 2009. "The positive consequence of strategic manipulation in indivisible good allocation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 325-348, November.
    39. Nesterov, Alexander S., 2017. "Fairness and efficiency in strategy-proof object allocation mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 145-168.
    40. Corchon, Luis C. & Iturbe-Ormaetxe, Inigo, 2001. "A Proposal to Unify Some Concepts in the Theory of Fairness," Journal of Economic Theory, Elsevier, vol. 101(2), pages 540-571, December.
    41. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    42. Alon, Shiri & Lehrer, Ehud, 2019. "Competitive equilibrium as a bargaining solution: An axiomatic approach," Games and Economic Behavior, Elsevier, vol. 118(C), pages 60-71.
    43. Antonio Miralles, 2011. "Pseudomarkets with Priorities in Large Random Assignment Economies," UFAE and IAE Working Papers 864.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    44. GORDON, Sidartha, 2006. "Public Decisions: Solidarity and the Status Quo," Cahiers de recherche 16-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    45. Fan-chin Kung, 2005. "Formation of Collective Decision-Making Units: Stability and a Solution," Game Theory and Information 0505002, University Library of Munich, Germany, revised 21 Jun 2005.
    46. Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.
    47. Ju, Biung-Ghi, 2005. "Strategy-proof risk sharing," Games and Economic Behavior, Elsevier, vol. 50(2), pages 225-254, February.
    48. Duygu Yengin, 2011. "Identical Preferences Lower Bound for Allocation of Heterogeneous Tasks and NIMBY Problems," School of Economics and Public Policy Working Papers 2011-27, University of Adelaide, School of Economics and Public Policy.
    49. Shingo Ishiguro, 2011. "Fair Contracts," Discussion Papers in Economics and Business 11-30, Osaka University, Graduate School of Economics.
    50. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    51. Darmann, Andreas & Klamler, Christian & Pferschy, Ulrich, 2009. "Maximizing the minimum voter satisfaction on spanning trees," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 238-250, September.
    52. Orit Arzi & Yonatan Aumann & Yair Dombb, 2016. "Toss one’s cake, and eat it too: partial divisions can improve social welfare in cake cutting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 933-954, April.
    53. Scalzo, Vincenzo, 2020. "Doubly Strong Equilibrium," MPRA Paper 99329, University Library of Munich, Germany.
    54. EHLERS, Lars, 2010. "School Choice with Control," Cahiers de recherche 13-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    55. Santiago Carbó Valverde & Antonio Palomares Bautista & Victoriano Ramírez González, 2004. "La regulación de los órganos de gobierno de las cajas de ahorros: consideraciones electorales," Hacienda Pública Española / Review of Public Economics, IEF, vol. 171(4), pages 33-55, december.
    56. Onur Kesten, 2009. "Coalitional strategy-proofness and resource monotonicity for house allocation problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 17-21, March.
    57. Mehdi Jabbari & Majid Shafiepour Motlagh & Khosro Ashrafi & Ghahreman Abdoli, 2020. "Global carbon budget allocation based on Rawlsian Justice by means of the Sustainable Development Goals Index," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 22(6), pages 5465-5481, August.
    58. Bettina Klaus, 2001. "Target Rules for Public Choice Economies on Tree Networks and in Euclidean Spaces," Theory and Decision, Springer, vol. 51(1), pages 13-29, August.
    59. Serge-Christophe Kolm, 2010. "On real economic freedom," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 351-375, September.

  13. William Thomson, 2007. "Cost allocation and airport problems," RCER Working Papers 537, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. António Osório, 2017. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Group Decision and Negotiation, Springer, vol. 26(2), pages 357-377, March.
    2. Hougaard, Jens Leth & Tvede, Mich & Østerdal, Lars Peter, 2013. "Cost Sharing in Chains and Other Fixed Trees," Discussion Papers on Economics 12/2013, University of Southern Denmark, Department of Economics.
    3. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
    4. Leanne Streekstra & Christian Trudeau, 2022. "Stable source connection and assignment problems as multi-period shortest path problems," Discussion Papers 2201, Budapest University of Technology and Economics, Quantitative Social and Management Sciences.
    5. Hougaard, Jens Leth & Moulin, Hervé, 2014. "Sharing the cost of redundant items," Games and Economic Behavior, Elsevier, vol. 87(C), pages 339-352.
    6. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez Rodríguez, 2016. "Monotonicity implications for the ranking of rules for airport problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 379-400, December.
    7. Dong, Baomin & Guo, Guixia & Wang, Yuntong, 2012. "Highway toll pricing," European Journal of Operational Research, Elsevier, vol. 220(3), pages 744-751.
    8. DEHEZ, Pierre & FEREY, Samuel, 2013. "How to share joint liability: a cooperative game approach," LIDAM Reprints CORE 2473, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Takayuki Oishi, 2018. "Duality and Anti-duality for Allocation Rules in Economic Problems I: An Axiomatic Analysis," Discussion Papers 38, Meisei University, School of Economics.
    10. Osório, António (António Miguel), 2016. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/266574, Universitat Rovira i Virgili, Department of Economics.
    11. Pierre Dehez, 2011. "Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 141-157.
    12. dEHEZ, Pierre, 2010. "Cooperative provision of indivisible public goods," LIDAM Discussion Papers CORE 2010026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. J. Arin & E. Inarra & P. Luquin, 2009. "A noncooperative view on two airport cost sharing rules," Review of Economic Design, Springer;Society for Economic Design, vol. 13(4), pages 361-376, December.
    14. Paula Jaramillo, 2013. "Congestion in irrigation problems," Documentos CEDE 10553, Universidad de los Andes, Facultad de Economía, CEDE.
    15. Takayuki Oishi, 2019. "A General Derivation of Axiomatizations for Allocation Rules: Duality and Anti-Duality Approach," Keio-IES Discussion Paper Series 2019-011, Institute for Economics Studies, Keio University.
    16. M. J. Albizuri & J. M. Echarri & J. M. Zarzuelo, 2018. "A Non-cooperative Mechanism Yielding the Nucleolus of Airport Problems," Group Decision and Negotiation, Springer, vol. 27(1), pages 153-163, February.
    17. Jens Leth Hougaard & Hervé Moulin, 2018. "Sharing the cost of risky projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 663-679, May.
    18. Juan D. Moreno-Ternero, 2012. "A new analysis of a simple model of fair allocation," Working Papers 12.10, Universidad Pablo de Olavide, Department of Economics.
    19. Takayuki Oishi & Shin Sakaue, 2014. "A Microeconomic Analysis toward Building Liability Lawin the Post-Earthquake Era," KIER Working Papers 890, Kyoto University, Institute of Economic Research.
    20. Gildas Sédry Fopa & Issofa Moyouwou & Joseph Siani, 2022. "Axiomatization of the counting rule for cost-sharing with possibly redundant items," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(3), pages 567-587, April.
    21. M. Albizuri & J. Echarri & J. Zarzuelo, 2015. "A non-cooperative mechanism for the Shapley value of airport problems," Annals of Operations Research, Springer, vol. 235(1), pages 1-11, December.
    22. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "On how to allocate the fixed cost of transport systems," Annals of Operations Research, Springer, vol. 301(1), pages 81-105, June.
    23. Julio González-Díaz & Miguel Mirás Calvo & Carmen Sandomingo & Estela Rodríguez, 2015. "Monotonicity of the core-center of the airport game," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 773-798, October.
    24. Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2017. "Coincidence of the Shapley value with other solutions satisfying covariance," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 1-9.
    25. Fatemeh Babaei & Hamidreza Navidi & Stefano Moretti, 2022. "A bankruptcy approach to solve the fixed cost allocation problem in transport systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 332-358, July.
    26. Grahn-Voorneveld, Sofia, 2011. "Sharing costs in Swedish road ownership associations," Working papers in Transport Economics 2011:6, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    27. Emre Doğan, 2021. "Population monotonicity in fair division of multiple indivisible goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 361-376, June.
    28. Jens Leth Hougaard & Mich Tvede, 2011. "Incremental Cost Sharing in Chains and Fixed Trees," MSAP Working Paper Series 02_2011, University of Copenhagen, Department of Food and Resource Economics.
    29. Cubukcu, K. Mert, 2020. "The problem of fair division of surplus development rights in redevelopment of urban areas: Can the Shapley value help?," Land Use Policy, Elsevier, vol. 91(C).
    30. Márkus, Judit & Pintér, Miklós & Radványi, Anna, 2011. "The Shapley value for airport and irrigation games," MPRA Paper 30031, University Library of Munich, Germany.
    31. Sylvain Ferrières, 2016. "Smoothness, nullified equal loss property and equal division values," Working Papers 2016-01, CRESE.

  14. William Thomson, 2006. "A Characterization of a Family of Rules for the Adjudication of Conflicting Claims," RCER Working Papers 530, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    2. Wulf Gaertner & Lars Schwettmann, 2017. "Burden sharing in deficit countries: a questionnaire-experimental investigation," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 8(2), pages 113-144, June.
    3. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    4. Moulin, Herve, 2017. "Consistent bilateral assignment," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 43-55.
    5. Wulf Gaertner & Richard Bradley & Yongsheng Xu & Lars Schwettmann, 2019. "Against the proportionality principle: Experimental findings on bargaining over losses," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-18, July.
    6. Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2016. "Characterizations of Weighted and Equal Division Values," Post-Print halshs-01212085, HAL.
    7. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    8. Ansink, Erik & Weikard, Hans-Peter, 2013. "Composition properties in the river claims problem," MPRA Paper 51618, University Library of Munich, Germany.
    9. Ricardo Martínez & Juan D. Moreno-Ternero, 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," Working Papers 22.01, Universidad Pablo de Olavide, Department of Economics.
    10. Gaertner, Wulf & Xu, Yongsheng, 2020. "Loss sharing: Characterizing a new class of rules," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 37-40.
    11. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).

  15. William Thomson, 2006. "On the Existence of Consistent Rules to Adjudicate Conflicting Claims: A Constructive Geometric Approach," RCER Working Papers 528, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.
    2. Ruben Juarez & Kohei Nitta, 2017. "Profit-Sharing and Implementation of Efficient Outcomes," Working Papers 201702, University of Hawaii at Manoa, Department of Economics.
    3. van den Brink, René & Funaki, Yukihiko & van der Laan, Gerard, 2013. "Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties," European Journal of Operational Research, Elsevier, vol. 228(2), pages 413-417.
    4. Rajnish Kumar & Ruben Juarez, 2011. "Implementing Efficient Graphs in Connection Networks," Departmental Working Papers 2011-03, Department of Economics, Louisiana State University.
    5. Thomson, William, 2013. "A characterization of a family of rules for the adjudication of conflicting claims," Games and Economic Behavior, Elsevier, vol. 82(C), pages 157-168.
    6. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    7. Hokari, Toru & Thomson, William, 2008. "On properties of division rules lifted by bilateral consistency," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1057-1071, December.
    8. Arin, J. & Benito-Ostolaza, J. & Inarra, E., 2017. "The reverse Talmud family of rules for bankruptcy Problems: A characterization," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 43-49.
    9. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    10. José-Manuel Giménez-Gómez, 2014. "A Way to Play Claims Problems," Group Decision and Negotiation, Springer, vol. 23(3), pages 617-627, May.
    11. William Thomson, 2014. "Compromising between the proportional and constrained equal awards rules," RCER Working Papers 584, University of Rochester - Center for Economic Research (RCER).
    12. William Thomson, 2015. "For claims problems, another compromise between the proportional and constrained equal awards rules," RCER Working Papers 592, University of Rochester - Center for Economic Research (RCER).
    13. Karl Jandoc & Ruben Juarez, 2017. "Self-enforcing coalitions with power accumulation," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 327-355, May.

  16. William Thomson, 2006. "Children crying at birthday parties. Why? Fairness and incentives for cake division problems," RCER Working Papers 526, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Erel Segal-Halevi & Shmuel Nitzan, 2014. "Cake Cutting – Fair and Square," Working Papers 2014-01, Bar-Ilan University, Department of Economics.
    2. Freeman, Rupert & Pritchard, Geoffrey & Wilson, Mark, 2021. "Order Symmetry: A New Fairness Criterion for Assignment Mechanisms," SocArXiv xt37c, Center for Open Science.
    3. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    4. Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.
    5. Xiaotie Deng & Qi Qi & Amin Saberi, 2012. "Algorithmic Solutions for Envy-Free Cake Cutting," Operations Research, INFORMS, vol. 60(6), pages 1461-1476, December.
    6. Erel Segal-Halevi & Shmuel Nitzan & Avinatan Hassidim & Yonatan Aumann, 2020. "Envy-Free Division of Land," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 896-922, August.
    7. Chen, Yiling & Lai, John K. & Parkes, David C. & Procaccia, Ariel D., 2013. "Truth, justice, and cake cutting," Games and Economic Behavior, Elsevier, vol. 77(1), pages 284-297.
    8. Mackenzie, Andrew & Komornik, Vilmos, 2023. "Fairly taking turns," Games and Economic Behavior, Elsevier, vol. 142(C), pages 743-764.
    9. Doğan, Battal, 2016. "Nash-implementation of the no-envy solution on symmetric domains of economies," Games and Economic Behavior, Elsevier, vol. 98(C), pages 165-171.
    10. Zsuzsanna Jank'o & Attila Jo'o & Erel Segal-Halevi & Sheung Man Yuen, 2023. "On Connected Strongly-Proportional Cake-Cutting," Papers 2312.15326, arXiv.org, revised Aug 2024.
    11. Sagara, Nobusumi, 2008. "A characterization of [alpha]-maximin solutions of fair division problems," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 273-280, May.
    12. Erel Segal-Halevi & Balázs R. Sziklai, 2019. "Monotonicity and competitive equilibrium in cake-cutting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 363-401, September.

  17. William Thomson & Chun-Hsien Yeh, 2006. "Operators for the adjudication of conflicting claims," RCER Working Papers 531, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Jaume García-Segarra & Miguel Ginés-Vilar, 2023. "Additive adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 93-116, March.
    2. Jens Hougaard & Juan Moreno-Ternero & Lars Østerdal, 2013. "Rationing with baselines: the composition extension operator," Annals of Operations Research, Springer, vol. 211(1), pages 179-191, December.
    3. Juan D. Moreno-Ternero & Juan Vidal-Puga, 2020. "Aggregator Operators for Dynamic Rationing," Working Papers 20.01, Universidad Pablo de Olavide, Department of Economics.
    4. Dietzenbacher, Bas & Tamura, Yuki & Thomson, William, 2023. "Partial-implementation invariance and claims problems," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
    5. Gustavo Bergantiños & Jose María Chamorro & Leticia Lorenzo & Silvia Lorenzo‐Freire, 2018. "Mixed rules in multi‐issue allocation situations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(1), pages 66-77, February.
    6. HOUGAARD, Jens Leth & MORENO-TERNERO, Juan D. & OSTERDAL, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," LIDAM Reprints CORE 2399, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Juan D. Moreno-Ternero & Min-Hung Tsay & Chun-Hsien Yeh, 2020. "A strategic justification of the Talmud rule based on lower and upper bounds," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1045-1057, December.
    8. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    9. Eun Jeong Heo & Jinhyuk Lee, 2023. "Allocating $$\hbox {CO}_2$$ CO 2 emissions: a dynamic claims problem," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 163-186, February.
    10. Alcalde, José & Peris, Josep E., 2022. "Mixing solutions for claims problems," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 78-87.
    11. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    12. Stovall, John E., 2020. "Equal sacrifice taxation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 55-75.
    13. Kristof Bosmans & Luc Lauwers, 2007. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," Working Papers of Department of Economics, Leuven ces0705, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    14. JU, Biung-Ghi & MORENO-TERNERO, Juan D., 2006. "Progressivity, inequality reduction and merging-proofness in taxation," LIDAM Discussion Papers CORE 2006075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Andrea Gallice, 2019. "Bankruptcy problems with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 311-336, March.
    16. Ricardo Martínez & Juan D Moreno Ternero, 2022. "An axiomatic approach towards pandemic performance indicators," ThE Papers 22/12, Department of Economic Theory and Economic History of the University of Granada..
    17. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 43-62, February.
    18. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "Rationing in the presence of baselines," Working Papers 12.04, Universidad Pablo de Olavide, Department of Economics.
    19. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Broadcasting revenue sharing after cancelling sports competitions," Annals of Operations Research, Springer, vol. 328(2), pages 1213-1238, September.
    20. Giménez-Gómez, José Manuel, 2011. "A way to play bankruptcy problems," Working Papers 2072/169781, Universitat Rovira i Virgili, Department of Economics.
    21. Juan D. Moreno-Ternero, 2017. "A Talmudic Approach to Bankruptcy Problems," Working Papers 17.01, Universidad Pablo de Olavide, Department of Economics.
    22. Dietzenbacher, Bas & Borm, Peter & Estevez Fernandez, M.A., 2017. "NTU-Bankruptcy Problems : Consistency and the Relative Adjustment Principle," Other publications TiSEM f023d53e-b84f-4520-aa5e-9, Tilburg University, School of Economics and Management.
    23. Marieke Quant & Peter Borm, 2011. "Random conjugates of bankruptcy rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 249-266, February.
    24. Diego Dominguez, 2013. "Lower bounds and recursive methods for the problem of adjudicating conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 663-678, March.
    25. José-Manuel Giménez-Gómez & Josep Peris, 2014. "Mediation in claims problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 5(4), pages 357-375, November.
    26. Giménez-Gómez, José-Manuel & Osório, Antonio, 2015. "Why and how to differentiate in claims problems? An axiomatic approach," European Journal of Operational Research, Elsevier, vol. 241(3), pages 842-850.
    27. Gaertner, Wulf & Xu, Yongsheng, 2020. "Loss sharing: Characterizing a new class of rules," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 37-40.
    28. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    29. José-Manuel Giménez-Gómez, 2014. "A Way to Play Claims Problems," Group Decision and Negotiation, Springer, vol. 23(3), pages 617-627, May.
    30. Tsay, Min-Hung & Yeh, Chun-Hsien, 2019. "Relations among the central rules in bankruptcy problems: A strategic perspective," Games and Economic Behavior, Elsevier, vol. 113(C), pages 515-532.
    31. LUTTENS, Roland Iwan, 2010. "Lower bounds rule!," LIDAM Discussion Papers CORE 2010069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    32. Siwei Chen, 2015. "Systematic favorability in claims problems with indivisibilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 283-300, February.
    33. Pedro Gadea-Blanco & José-Manuel Giménez-Gómez & M. Carmen Marco-Gil, 2016. "Compromising in bifocal distribution games: the average value," Theory and Decision, Springer, vol. 81(3), pages 449-465, September.
    34. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
    35. Dietzenbacher, Bas, 2018. "Egalitarian allocation principles," Other publications TiSEM 01be3135-efa6-4f51-b2ef-0, Tilburg University, School of Economics and Management.
    36. José-Manuel Giménez-Gómez & Josep E. Peris & María-José Solís-Baltodano, 2023. "Resource allocations with guaranteed awards in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 581-602, September.

  18. William Thomson, 2006. "The Two-Agent Claims-Truncated Proportional Rule Has No Consistent Extension: A Constructive Proof," RCER Working Papers 529, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    2. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    3. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    4. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    5. Maurice Koster, 2012. "Consistent cost sharing," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 1-28, February.
    6. Koster, M., 2009. "Contracts, cost sharing and consistency," CeNDEF Working Papers 09-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

  19. Youngsub Chun & William Thomson, 2004. "Convergence under Replication of Rules to Adjudicate Conflicting Claims," RCER Working Papers 512, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Louis de Mesnard, 2019. "On the Convergence of the Generalized Ibn Ezra Value," Post-Print hal-01919401, HAL.
    2. Alcalde, Jose & Marco-Gil, María del Carmen & Silva, José A., 2010. "Merging and Going Bankrupt: A Neutral Solution," MPRA Paper 28339, University Library of Munich, Germany.
    3. William Thomson & Chun-Hsien Yeh, 2006. "Operators for the adjudication of conflicting claims," RCER Working Papers 531, University of Rochester - Center for Economic Research (RCER).
    4. Diego Dominguez & William Thomson, 2006. "A new solution to the problem of adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 283-307, June.
    5. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    6. Patrick Harless, 2017. "Endowment additivity and the weighted proportional rules for adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 755-781, March.
    7. Kristof Bosmans & Luc Lauwers, 2007. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," Working Papers of Department of Economics, Leuven ces0705, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    8. Miguel Ángel Mirás Calvo & Iago Núñez Lugilde & Carmen Quinteiro Sandomingo & Estela Sánchez Rodríguez, 2023. "Refining the Lorenz‐ranking of rules for claims problems on restricted domains," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 526-558, September.
    9. William Thomson, 2012. "Lorenz rankings of rules for the adjudication of conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 547-569, August.
    10. Thomson, William, 2024. "Cost allocation and airport problems," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 17-31.
    11. BOSMANS, Kristof & SCHOKKAERT, Erik, 2009. "Equality preference in the claims problem: a questionnaire study of cuts in earnings and pensions," LIDAM Reprints CORE 2166, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    13. José Alcalde & María Marco & José Silva, 2008. "The minimal overlap rule revisited," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 109-128, June.
    14. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    15. LUTTENS, Roland Iwan, 2010. "Lower bounds rule!," LIDAM Discussion Papers CORE 2010069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. José Alcalde & María Carmen Marco-Gil & José Silva-Reus, 2014. "The minimal overlap rule: restrictions on mergers for creditors’ consensus," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 363-383, April.

  20. Diego Dominguez & William Thomson, 2004. "A New Solution to the Problem of Adjudicating Conflicting Claims," RCER Working Papers 511, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. William Thomson, 2006. "On the Existence of Consistent Rules to Adjudicate Conflicting Claims: A Constructive Geometric Approach," RCER Working Papers 528, University of Rochester - Center for Economic Research (RCER).
    2. Louis de Mesnard, 2015. "The three wives problem and Shapley value," Post-Print hal-01091714, HAL.
    3. Antonio Villar Notario & Juan D. Moreno Ternero, 2001. "The Tal-Family Of Rules For Bankruptcy Problems," Working Papers. Serie AD 2001-33, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. HOUGAARD, Jens Leth & MORENO-TERNERO, Juan D. & OSTERDAL, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," LIDAM Reprints CORE 2399, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Juan D. Moreno-Ternero & Min-Hung Tsay & Chun-Hsien Yeh, 2020. "A strategic justification of the Talmud rule based on lower and upper bounds," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1045-1057, December.
    6. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    7. Jeremiah Hurley & Neil Buckley & Katherine Cuff & Mita Giacomini & David Cameron, 2011. "Judgments regarding the fair division of goods: the impact of verbal versus quantitative descriptions of alternative divisions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(2), pages 341-372, July.
    8. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    9. Giménez Gómez, José M. (José Manuel) & Peris, Josep E. & Solís Baltodano, María José, 2017. "Resource allocation with warranties in claims problems," Working Papers 2072/292437, Universitat Rovira i Virgili, Department of Economics.
    10. Kristof Bosmans & Luc Lauwers, 2007. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," Working Papers of Department of Economics, Leuven ces0705, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    11. José-Manuel Giménez-Gómez & Foroogh Salekpay & Cori Vilella, 2023. "How to distribute the European regional development funds through a combination of egalitarian allocations: the constrained equal losses min," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-8, December.
    12. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "Rationing in the presence of baselines," Working Papers 12.04, Universidad Pablo de Olavide, Department of Economics.
    13. Yeh, Chun-Hsien, 2008. "Secured lower bound, composition up, and minimal rights first for bankruptcy problems," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 925-932, September.
    14. Christopher P. Chambers & Juan D. Moreno-Ternero, 2015. "Taxation and Poverty," Working Papers 15.05, Universidad Pablo de Olavide, Department of Economics.
    15. Thomson, William, 2013. "A characterization of a family of rules for the adjudication of conflicting claims," Games and Economic Behavior, Elsevier, vol. 82(C), pages 157-168.
    16. Marieke Quant & Peter Borm, 2011. "Random conjugates of bankruptcy rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 249-266, February.
    17. Diego Dominguez, 2013. "Lower bounds and recursive methods for the problem of adjudicating conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 663-678, March.
    18. De MESNARD, Louis, 2008. "On the Talmud division : equity and robustness," LEG - Document de travail - Economie 2008-07, LEG, Laboratoire d'Economie et de Gestion, CNRS, Université de Bourgogne.
    19. BOSMANS, Kristof & SCHOKKAERT, Erik, 2009. "Equality preference in the claims problem: a questionnaire study of cuts in earnings and pensions," LIDAM Reprints CORE 2166, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Yoichi Kasajima & Rodrigo Velez, 2011. "Reflecting inequality of claims in gains and losses," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 283-295, February.
    21. Juan D. Moreno‐Ternero & Min‐Hung Tsay & Chun‐Hsien Yeh, 2022. "Strategic justifications of the TAL family of rules for bankruptcy problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 92-102, March.
    22. Solís Baltodano, María José, 2016. "The Catalan health budget rationing problem," Working Papers 2072/290741, Universitat Rovira i Virgili, Department of Economics.
    23. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    24. José-Manuel Giménez-Gómez & Josep Peris, 2014. "Mediation in claims problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 5(4), pages 357-375, November.
    25. José M. Jiménez Gómez & María del Carmen Marco, 2008. "A New Approach for Bounding Awards in Bankruptcy Problems," Working Papers. Serie AD 2008-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    26. Giménez-Gómez, José Manuel & Peris, Josep E., 2012. "A Proportional Approach to Bankruptcy Problems with a guaranteed minimum," Working Papers 2072/182645, Universitat Rovira i Virgili, Department of Economics.
    27. José-manuel Giménez-gómez & Cori Vilella, 2017. "Recursive methods for discrete claims problems," Economics Bulletin, AccessEcon, vol. 37(3), pages 1653-1665.
    28. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    29. Koster, Maurice & Boonen, Tim J., 2019. "Constrained stochastic cost allocation," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 20-30.
    30. María José Solíx-Baltodano & Cori Vilella & José Manuel Giménez-Gómez, 2019. "The Catalan Health Budget: A Conflicting Claims Approach," Hacienda Pública Española / Review of Public Economics, IEF, vol. 228(1), pages 35-54, March.
    31. LUTTENS, Roland Iwan, 2010. "Lower bounds rule!," LIDAM Discussion Papers CORE 2010069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    32. Lipschütz Itay & Schwarz Mordechai E., 2020. "Fairness Vs. Economic Efficiency: Lessons from an Interdisciplinary Analysis of Talmudic Bankruptcy Law," Review of Law & Economics, De Gruyter, vol. 16(3), pages 1-38, November.
    33. Giménez-Gómez, José-Manuel & Peris, Josep E., 2014. "A proportional approach to claims problems with a guaranteed minimum," European Journal of Operational Research, Elsevier, vol. 232(1), pages 109-116.
    34. Diego Dominguez, 2007. "Lower bounds and recursive methods for the problem of adjudicating conflicting claims," Working Papers 0705, Centro de Investigacion Economica, ITAM.
    35. Juan D. Moreno-Ternero, 2007. "Bankruptcy Rules And Coalitional Manipulation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 105-118.
    36. José-Manuel Giménez-Gómez & Josep E. Peris & María-José Solís-Baltodano, 2023. "Resource allocations with guaranteed awards in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 581-602, September.

  21. William Thomson, 2004. "Divide-and-Permute," RCER Working Papers 510, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Antonio Nicolo' & Yan Yu, 2006. "Strategic Divide and Choose," "Marco Fanno" Working Papers 0022, Dipartimento di Scienze Economiche "Marco Fanno".
    2. Marco LiCalzi & Antonio Nicolo, 2007. "Efficient Egalitarian Equivalent Allocations over a Single Good," Working Papers 152, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    3. Amorós, Pablo, 2009. "Eliciting socially optimal rankings from unfair jurors," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1211-1226, May.
    4. Olivier Bochet, 2007. "Implementation of the Walrasian correspondence: the boundary problem," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(2), pages 301-316, October.
    5. R?bert F. Veszteg, 2004. "Fairness under Uncertainty with Indivisibilities," UFAE and IAE Working Papers 613.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    6. Takashi Hayashi & Toyotaka Sakai, 2009. "Nash implementation of competitive equilibria in the job-matching market," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 453-467, November.
    7. Lombardi, Michele & Yoshihara, Naoki, 2012. "Natural Implementation with Partially Honest Agents," Discussion Paper Series 561, Institute of Economic Research, Hitotsubashi University.
    8. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.

  22. Thomson, W., 1998. "Consistency and its Converse: an Introduction," RCER Working Papers 448, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Han, Xiang, 2016. "On the consistency of random serial dictatorship," Economics Letters, Elsevier, vol. 145(C), pages 168-171.
    2. Camelia Bejan & Juan Camilo Gómez & Anne van den Nouweland, 2022. "On the importance of reduced games in axiomatizing core extensions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 637-668, October.
    3. António Osório, 2017. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Group Decision and Negotiation, Springer, vol. 26(2), pages 357-377, March.
    4. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On proportionality in multi-issue problems with crossed claims," Papers 2202.09877, arXiv.org.
    5. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    6. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    7. Hougaard, Jens Leth & Moulin, Hervé, 2014. "Sharing the cost of redundant items," Games and Economic Behavior, Elsevier, vol. 87(C), pages 339-352.
    8. Stéphane Gonzalez & Aymeric Lardon, 2018. "Axiomatic Foundations of a Unifying Concept of the Core of Games in Effectiveness Form," GREDEG Working Papers 2018-15, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    9. van den Brink, René & Funaki, Yukihiko & van der Laan, Gerard, 2013. "Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties," European Journal of Operational Research, Elsevier, vol. 228(2), pages 413-417.
    10. Vesperoni, Alberto, 2013. "A contest success function for rankings," NEPS Working Papers 8/2013, Network of European Peace Scientists.
    11. Dietzenbacher, Bas & Yanovskaya, Elena, 2022. "The equal split-off set for NTU-games," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
    12. Sylvain Béal & David Lowing & Léa Munich, 2024. "Sharing the cost of cleaning up non-point source pollution," Working Papers hal-04634728, HAL.
    13. Carmen Herrero Blanco & Ricardo Martínez, 2006. "Allocation Problems With Indivisibilities When Preferences Are Single-Peaked," Working Papers. Serie AD 2006-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    14. Bas Dietzenbacher & Elena Yanovskaya, 2021. "Consistency of the equal split-off set," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 1-22, March.
    15. Acosta-Vega, Rick K. & Algaba, Encarnación & Sánchez-Soriano, Joaquín, 2023. "Design of water quality policies based on proportionality in multi-issue problems with crossed claims," European Journal of Operational Research, Elsevier, vol. 311(2), pages 777-788.
    16. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2023. "A Core-Partition Ranking Solution to Coalitional Ranking Problems," Post-Print hal-04114152, HAL.
    17. Ricardo Martinez, 2009. "Strong composition down. Characterizations of new and classical bankruptcy rules," Working Papers 2009-4, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    18. Cho, Wonki Jo & Ju, Biung-Ghi, 2020. "Group identification: An integrated approach," Games and Economic Behavior, Elsevier, vol. 123(C), pages 171-181.
    19. Osório, António (António Miguel), 2016. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/266574, Universitat Rovira i Virgili, Department of Economics.
    20. Jorge Alcalde-Unzu & Oihane Gallo & Elena Inarra & Juan D. Moreno-Ternero, 2023. "Solidarity to achieve stability," Papers 2302.07618, arXiv.org, revised Oct 2023.
    21. Moulin, Herve, 2017. "Consistent bilateral assignment," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 43-55.
    22. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
    23. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "The sequential equal surplus division for sharing a river," MPRA Paper 37346, University Library of Munich, Germany.
    24. Kasajima, Yoichi & Toda, Manabu, 2024. "Singles monotonicity and stability in one-to-one matching problems," Games and Economic Behavior, Elsevier, vol. 143(C), pages 269-286.
    25. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    26. Flores-Szwagrzak, Karol & Østerdal, Lars Peter, 2024. "Rationalizing Sharing Rules," Working Papers 17-2024, Copenhagen Business School, Department of Economics.
    27. Kristof Bosmans & Z. Emel Öztürk, 2022. "Equality and responsibility: ex ante and ex post redistribution mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 947-975, June.
    28. Osório, António (António Miguel), 2017. "Self-interest and Equity Concerns: A Behavioural Allocation Rule for Operational Problems," Working Papers 2072/290757, Universitat Rovira i Virgili, Department of Economics.
    29. Dietzenbacher, Bas & Borm, Peter & Estevez Fernandez, M.A., 2017. "NTU-Bankruptcy Problems : Consistency and the Relative Adjustment Principle," Other publications TiSEM f023d53e-b84f-4520-aa5e-9, Tilburg University, School of Economics and Management.
    30. Mert Kimya, 2024. "Axiomatic Approach to Farsighted Coalition Formation," Working Papers 2024-03, University of Sydney, School of Economics.
    31. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    32. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2021. "A Core-partition solution for coalitional rankings with a variable population domain," Working Papers 2021-06, CRESE.
    33. Karol Flores-Szwagrzak & Jaume García-Segarra & Miguel Ginés-Vilar, 2020. "Priority and proportionality in bankruptcy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 559-579, April.
    34. Thomson, William, 2024. "Cost allocation and airport problems," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 17-31.
    35. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
    36. Francesc Llerena & Llúcia Mauri, 2016. "Reduced games and egalitarian solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1053-1069, November.
    37. Kondratev, Aleksei Y. & Nesterov, Alexander S., 2022. "Minimal envy and popular matchings," European Journal of Operational Research, Elsevier, vol. 296(3), pages 776-787.
    38. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
    39. Klaus, Bettina & Klijn, Flip, 2013. "Local and global consistency properties for student placement," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 222-229.
    40. Karpov, Alexander, 2019. "A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem," Economics Letters, Elsevier, vol. 178(C), pages 63-65.
    41. Bhaskar Dutta & Anirban Kar, 2002. "Cost monotonicity, consistency and minimum cost spanning tree games," Discussion Papers 02-04, Indian Statistical Institute, Delhi.
    42. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    43. Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    44. Pérez-Castrillo, David & Sun, Chaoran, 2021. "Value-free reductions," Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
    45. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On priority in multi-issue bankruptcy problems with crossed claims," Papers 2205.00450, arXiv.org, revised Sep 2022.
    46. Koji Takamiya, 2006. "Consistency and Unanimity in the House Allocation Problems I: Collective Initial Endowments," ISER Discussion Paper 0657, Institute of Social and Economic Research, Osaka University.
    47. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    48. Carmen Herrero & Antonio Villar, 2021. "Opportunity advantage between income distributions," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 19(4), pages 785-799, December.
    49. Heo, Eun Jeong, 2014. "Probabilistic assignment problem with multi-unit demands: A generalization of the serial rule and its characterization," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 40-47.
    50. Hurt, Wesley & Osório, António (António Miguel), 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/237596, Universitat Rovira i Virgili, Department of Economics.
    51. Vianney Dequiedt & Yves Zenou, 2017. "Local and consistent centrality measures in parameterized networks," Post-Print halshs-01528908, HAL.
    52. Carmen Herrero & Ricardo Martínez, 2008. "Up methods in the allocation of indivisibilities when preferences are single-peaked," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 272-283, December.
    53. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    54. Flores-Szwagrzak, Karol & Treibich, Rafael, 2015. "Co-authorship and the Measurement of Individual Productivity," Discussion Papers on Economics 17/2015, University of Southern Denmark, Department of Economics.
    55. Osório, António, 2017. "Self-interest and equity concerns: A behavioural allocation rule for operational problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 205-213.
    56. Karol Flores-Szwagrzak & Rafael Treibich, 2020. "Teamwork and Individual Productivity," Management Science, INFORMS, vol. 66(6), pages 2523-2544, June.
    57. Jens Gudmundsson & Jens Leth Hougaard & Trine Tornøe Platz, 2020. "Decentralized Task Coordination," IFRO Working Paper 2020/11, University of Copenhagen, Department of Food and Resource Economics.
    58. Edelman, Paul H. & Por, Attila, 2021. "A new axiomatic approach to the impartial nomination problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 443-451.
    59. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2012. "The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations," Working Papers 2012-02, CRESE.
    60. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan.
    61. Geoffroy de Clippel, 2005. "An Axiomatization of the Inner Core Using Appropriate Reduced Games," Working Papers 2005-02, Brown University, Department of Economics.
    62. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2015. "Decentralized matching: The role of commitment," Games and Economic Behavior, Elsevier, vol. 92(C), pages 1-17.
    63. Siwei Chen, 2015. "Systematic favorability in claims problems with indivisibilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 283-300, February.
    64. Yajing Chen, 2017. "New axioms for deferred acceptance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 393-408, February.
    65. Rogna, Marco, 2021. "The central core and the mid-central core as novel set-valued and point-valued solution concepts for transferable utility coalitional games," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 1-11.
    66. Stéphane Gonzalez & Aymeric Lardon, 2018. "Axiomatic Foundations of a Unifying Core," Working Papers halshs-01930836, HAL.
    67. van den Brink, René & Chun, Youngsub & Funaki, Yukihiko & Zou, Zhengxing, 2023. "Balanced externalities and the proportional allocation of nonseparable contributions," European Journal of Operational Research, Elsevier, vol. 307(2), pages 975-983.
    68. Gonzalez, Stéphane & Lardon, Aymeric, 2021. "Axiomatic foundations of the core for games in effectiveness form," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 28-38.
    69. Salvador Barbera & Carmen Bevia, 2000. "Self-Selection Consistent Choices," Econometric Society World Congress 2000 Contributed Papers 1322, Econometric Society.
    70. Moulin, Hervé, 2016. "Entropy, desegregation, and proportional rationing," Journal of Economic Theory, Elsevier, vol. 162(C), pages 1-20.
    71. Calleja, Pere & Llerena Garrés, Francesc, 2016. "Consistency distinguishes the (weighted) Shapley value, the (weighted) surplus division value and the prenucleolus," Working Papers 2072/266577, Universitat Rovira i Virgili, Department of Economics.
    72. Rhee, Sangkyu, 2006. "Allocation problems among sharing groups," Games and Economic Behavior, Elsevier, vol. 54(2), pages 398-418, February.
    73. Yusuke Iwase, 2022. "Equivalence theorem in matching with contracts," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 117-125, March.
    74. Yoichi Kasajima & Manabu Toda, 2021. "Singles monotonicity and stability in one-to-one matching problems," Working Papers 2023-1, Waseda University, Faculty of Political Science and Economics.
    75. Youngsub Chun, 2011. "Consistency and monotonicity in sequencing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 29-41, February.
    76. Bas Dietzenbacher, 2023. "Generalizing the constrained equal awards rule," Theory and Decision, Springer, vol. 95(1), pages 131-150, July.
    77. Gudmundsson, Jens & Hougaard, Jens Leth & Ko, Chiu Yu, 2019. "Decentralized mechanisms for river sharing," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 67-81.
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    81. Dietzenbacher, Bas, 2018. "Egalitarian allocation principles," Other publications TiSEM 01be3135-efa6-4f51-b2ef-0, Tilburg University, School of Economics and Management.
    82. Rick K. Acosta & Encarnación Algaba & Joaquín Sánchez-Soriano, 2022. "Multi-issue bankruptcy problems with crossed claims," Annals of Operations Research, Springer, vol. 318(2), pages 749-772, November.
    83. Osorio, Antonio, 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," MPRA Paper 56690, University Library of Munich, Germany.
    84. Pedro Calleja & Francesc Llerena, 2019. "Path monotonicity, consistency and axiomatizations of some weighted solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 287-310, March.

  23. Thomson, W., 1997. "On the Axiomatic Method ; Part II: Its Scope and recent Application to Game Theory and Resource Allocation," RCER Working Papers 446, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Bossert, Walter, 1998. "Welfarism and rationalizability in allocation problems with indivisibilities1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 133-150, March.

  24. Thomson, W., 1996. "Monotonic Extension on Economic Domains," RCER Working Papers 431, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Klaus, Bettina & Dimitrov, Dinko & Haake, Claus-Jochen, 2006. "Bundling in exchange markets with indivisible goods," Economics Letters, Elsevier, vol. 93(1), pages 106-110, October.
    2. İpek Özkal-Sanver, 2013. "Minimal conversely consistent extension of the men-optimal solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 89-99, January.
    3. Benoit, Jean Pierre & Ok, Efe A. & Sanver, M. Remzi, 2007. "On combining implementable social choice rules," Games and Economic Behavior, Elsevier, vol. 60(1), pages 20-30, July.
    4. Jackson, Matthew O., 1999. "A Crash Course in Implementation Theory," Working Papers 1076, California Institute of Technology, Division of the Humanities and Social Sciences.
    5. M. Remzi Sanver, 2017. "Nash implementing social choice rules with restricted ranges," Review of Economic Design, Springer;Society for Economic Design, vol. 21(1), pages 65-72, March.
    6. Michele Lombardi & Naoki Yoshihara, 2017. "Natural implementation with semi-responsible agents in pure exchange economies," UMASS Amherst Economics Working Papers 2017-05, University of Massachusetts Amherst, Department of Economics.
    7. Pablo Amorós, 2009. "Unequivocal majority and Maskin-monotonicity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(4), pages 521-532, November.
    8. Haake, C.J. & Klaus, B.E., 2007. "Monotonicity and nash implementation in matching markets with contracts," Research Memorandum 058, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    9. Olivier Bochet, 2007. "Implementation of the Walrasian correspondence: the boundary problem," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(2), pages 301-316, October.
    10. Bochet, Olivier & Maniquet, François, 2010. "Virtual Nash implementation with admissible support," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 99-108, January.
    11. Takashi Hayashi & Toyotaka Sakai, 2009. "Nash implementation of competitive equilibria in the job-matching market," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 453-467, November.
    12. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    13. Remzi Sanver, M., 2006. "Nash implementation of the majority rule," Economics Letters, Elsevier, vol. 91(3), pages 369-372, June.
    14. İpek Özkal-Sanver & M. Sanver, 2006. "Nash implementation via hyperfunctions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 607-623, June.
    15. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    16. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    17. Eun Jeong Heo & Vikram Manjunath, 2017. "Implementation in stochastic dominance Nash equilibria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 5-30, January.
    18. Ehlers, Lars, 2000. "Indifference and the uniform rule," Economics Letters, Elsevier, vol. 67(3), pages 303-308, June.
    19. Dietzenbacher, Bas & Yanovskaya, Elena, 2021. "Self-antidual extensions and subsolutions," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 105-109.
    20. Orhan Erdem & M. Sanver, 2005. "Minimal monotonic extensions of scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 31-42, October.

  25. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Guy Barokas, 2022. "Revealed desirability: a novel instrument for social welfare," Theory and Decision, Springer, vol. 93(4), pages 649-661, November.
    2. Takuya Masuzawa, 2008. "Computing the cores of strategic games with punishment–dominance relations," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 185-201, June.
    3. HOUGAARD, Jens Leth & MORENO-TERNERO, Juan D. & OSTERDAL, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," LIDAM Reprints CORE 2399, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Sönmez, Tayfun & Ünver, M. Utku, 2010. "House allocation with existing tenants: A characterization," Games and Economic Behavior, Elsevier, vol. 69(2), pages 425-445, July.
    5. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    6. Giacomo, VALETTA, 2007. "A fair solution to the compensation problem," Discussion Papers (ECON - Département des Sciences Economiques) 2007038, Université catholique de Louvain, Département des Sciences Economiques.
    7. de CLIPPEL, Geoffroy, 2003. "Invariance with respect to re-evaluations of coalitional power," LIDAM Discussion Papers CORE 2003056, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Albizuri, M. Josune & Zarzuelo, Jose M., 2007. "The dual serial cost-sharing rule," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 150-163, March.
    9. Biung-Ghi Ju & Eiichi Miyagawa & Toyotaka Sakai, 2003. "Non-Manipulable Division Rules in Claim Problems and Generalizations," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200307, University of Kansas, Department of Economics, revised Aug 2005.
    10. Bettina Klaus & Alexandru Nichifor, 2010. "Consistency in one-sided assignment problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 415-433, September.
    11. Yan-An Hwang & Yu-Hsien Liao, 2011. "The multi-core, balancedness and axiomatizations for multi-choice games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 677-689, November.
    12. Dietzenbacher, Bas & Yanovskaya, Elena, 2022. "The equal split-off set for NTU-games," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
    13. Francesc Llerena & Carlos Rafels Pallarola, 2005. "The set of undominated imputations and the core: an axiomatic approach," Working Papers in Economics 144, Universitat de Barcelona. Espai de Recerca en Economia.
    14. Roberto Serrano & Ken Ichi Shimomura, 1996. "An axiomatization of the prekernel of nontransferable utility games," Economics Working Papers 167, Department of Economics and Business, Universitat Pompeu Fabra.
    15. Takayuki Oishi, 2018. "Duality and Anti-duality for Allocation Rules in Economic Problems I: An Axiomatic Analysis," Discussion Papers 38, Meisei University, School of Economics.
    16. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
    17. M. Fleurbaey & F. Maniquet, 2000. "Fair Social Orderings With Unequal Production Skills," THEMA Working Papers 2000-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    18. Toru Hokari & Yukihiko Funaki & Peter Sudhölter, 2020. "Consistency, anonymity, and the core on the domain of convex games," Review of Economic Design, Springer;Society for Economic Design, vol. 24(3), pages 187-197, December.
    19. EHLERS, Lars & KLAUS, Bettina, 2009. "Allocation via Deferred-Acceptance under Responsive Priorities," Cahiers de recherche 2009-16, Universite de Montreal, Departement de sciences economiques.
    20. Josep Maria Izquierdo Aznar & Francesc Llerena & Carlos Rafels Pallarola, 2004. "Sequential decisions in allocation problems," Working Papers in Economics 116, Universitat de Barcelona. Espai de Recerca en Economia.
    21. Hokari, Toru & Kibris, Ozgur, 2003. "Consistency, converse consistency, and aspirations in TU-games," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 313-331, July.
    22. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
    23. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    24. Yan-An Hwang, 2009. "An NTU value under complement reduced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 305-324, November.
    25. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "Rationing in the presence of baselines," Working Papers 12.04, Universidad Pablo de Olavide, Department of Economics.
    26. Francesc Llerena & Carles Rafels, 2007. "Convex decomposition of games and axiomatizations of the core and the D-core," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 603-615, April.
    27. Laurent-Lucchetti, Jérémy, 2009. "Rights on what is left," MPRA Paper 27285, University Library of Munich, Germany.
    28. MANIQUET, François, 2009. "Social orderings for the assignment of indivisible objects," LIDAM Reprints CORE 2169, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    29. Izquierdo, Josep M. & Llerena, Francesc & Rafels, Carles, 2005. "Sequentially compatible payoffs and the core in TU-games," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 318-330, November.
    30. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    31. MORENO-TERNERO, Juan D. & ROEMER, John E., 2005. "Impartiality, priority, and solidarity in the theory of justice," LIDAM Discussion Papers CORE 2005077, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    32. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    33. Takayuki Oishi, 2019. "A General Derivation of Axiomatizations for Allocation Rules: Duality and Anti-Duality Approach," Keio-IES Discussion Paper Series 2019-011, Institute for Economics Studies, Keio University.
    34. Hokari, Toru, 2005. "Consistency implies equal treatment in TU-games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 63-82, April.
    35. Elena B.Yanovskaya, 2014. "Self-Covariant Solutions To Cooperative Games With Transferable Utilities," HSE Working papers WP BRP 85/EC/2014, National Research University Higher School of Economics.
    36. Maurice Koster, 2007. "The Moulin–Shenker rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 271-293, September.
    37. Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 75-92, January.
    38. Klaus, Bettina & Klijn, Flip, 2013. "Local and global consistency properties for student placement," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 222-229.
    39. Tayfun Sönmez & M. Utku Ünver, 2006. "Kidney Exchange with Good Samaritan Donors: A Characterization," Boston College Working Papers in Economics 640, Boston College Department of Economics.
    40. M. Voorneveld & A. Nouweland & R. McLean, 2011. "Axiomatizations of the Euclidean compromise solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 427-448, August.
    41. Petrosyan, Leon & Sedakov, Artem & Sun, Hao & Xu, Genjiu, 2017. "Convergence of strong time-consistent payment schemes in dynamic games," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 96-112.
    42. François Maniquet, 2004. "On the equivalence between welfarism and equality of opportunity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 127-147, August.
    43. Marc Fleurbaey & François Maniquet, 2008. "Fair social orderings," Post-Print hal-00246525, HAL.
    44. Koji Takamiya, 2006. "Consistency and Unanimity in the House Allocation Problems I: Collective Initial Endowments," ISER Discussion Paper 0657, Institute of Social and Economic Research, Osaka University.
    45. Serrano, Roberto & Shimomura, Ken-Ichi, 2006. "A comparison of the average prekernel and the prekernel," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 288-301, December.
    46. Yan-An Hwang & Yu-Hsien Liao, 2009. "Equivalence theorem, consistency and axiomatizations of a multi-choice value," Computational Optimization and Applications, Springer, vol. 45(4), pages 597-613, December.
    47. Antonio Villar Notario & Carmen Herrero Blanco, 1998. "- Preeminence And Sustainability In Bankruptcy Problems," Working Papers. Serie AD 1998-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    48. Yan-An Hwang & Yu-Hsien Liao, 2010. "The unit-level-core for multi-choice games: the replicated core for TU games," Journal of Global Optimization, Springer, vol. 47(2), pages 161-171, June.
    49. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    50. Albizuri, M.J. & Leroux, J. & Zarzuelo, J.M., 2010. "Updating claims in bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 144-148, September.
    51. Volij, Oscar & Lee, Darin, 2000. "The Core of Economies with Asymmetric Information: An Axiomatic Approach," Staff General Research Papers Archive 5193, Iowa State University, Department of Economics.
    52. Kaminski, Marek M., 2000. "'Hydraulic' rationing," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 131-155, September.
    53. Carmen Herrero & Ricardo Martínez, 2008. "Up methods in the allocation of indivisibilities when preferences are single-peaked," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 272-283, December.
    54. Juan Moreno-Ternero & John E. Roemer, 2004. "Impartiality and Priority. Part 2: A Characterization with Solidarity," Cowles Foundation Discussion Papers 1477B, Cowles Foundation for Research in Economics, Yale University, revised May 2005.
    55. Corchon, Luis C. & Iturbe-Ormaetxe, Inigo, 2001. "A Proposal to Unify Some Concepts in the Theory of Fairness," Journal of Economic Theory, Elsevier, vol. 101(2), pages 540-571, December.
    56. Eric Friedman, 1997. "Weak and Strong Consistency in Additive Cost Sharing," Departmental Working Papers 199707, Rutgers University, Department of Economics.
    57. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 575-583, March.
    58. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    59. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, vol. 54(1), pages 115-133, January.
    60. Antonio Miralles, 2011. "Pseudomarkets with Priorities in Large Random Assignment Economies," UFAE and IAE Working Papers 864.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    61. VALLETTA, Giacomo, 2007. "A fair solution to the compensation problem," LIDAM Discussion Papers CORE 2007077, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    62. Geoffroy de Clippel, 2005. "An Axiomatization of the Inner Core Using Appropriate Reduced Games," Working Papers 2005-02, Brown University, Department of Economics.
    63. Yan-An Hwang & Yu-Hsien Liao, 2010. "Consistency and dynamic approach of indexes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 679-694, April.
    64. Genjiu Xu & René van den Brink & Gerard van der Laan & Hao Sun, 2012. "Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach," Tinbergen Institute Discussion Papers 12-105/II, Tinbergen Institute.
    65. Francesc Llerena & Carles Rafels, 2005. "On reasonable outcomes and the core in cooperative TU games," Working Papers 160, Barcelona School of Economics.
    66. Justin Leroux, 2006. "A discussion of the consistency axiom in cost-allocation problems," Cahiers de recherche 06-13, HEC Montréal, Institut d'économie appliquée.
    67. Xu, Genjiu & Driessen, Theo S.H. & Sun, Hao & Su, Jun, 2013. "Consistency for the additive efficient normalization of semivalues," European Journal of Operational Research, Elsevier, vol. 224(3), pages 566-571.
    68. Korthues, Bernd, 2000. "Characterization of an extended Walrasian concept for open economies," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 449-461, May.
    69. Youngsub Chun, 2011. "Consistency and monotonicity in sequencing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 29-41, February.
    70. Koster, M., 2005. "Sharing Variable Returns of Cooperation," CeNDEF Working Papers 05-06, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    71. Elena Yanovskaya, 2011. "Excess Values for Cooperative Games with Transferable Utilities and Double Consistent Allocation Methods," HSE Working papers WP BRP 10/EC/2011, National Research University Higher School of Economics.
    72. Chun-Hsien Yeh, 2006. "Protective Properties and the Constrained Equal Awards Rule for Claims Problems: A Note," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 221-230, October.
    73. Chun-Hsien Yeh, 2004. "Protective properties and the constrained equal awards rule for claims problems," Econometric Society 2004 Far Eastern Meetings 463, Econometric Society.
    74. Manabu Toda, 2006. "Monotonicity and Consistency in Matching Markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 13-31, April.

  26. Schummer, J. & Thomson, W., 1996. "Two Derivations of the Uniform Rule and an Application to Bankruptcy," RCER Working Papers 423, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2013. "The Division Problem under Constraints," Working Papers 745, Barcelona School of Economics.
    2. William Thomson, 2006. "On the Existence of Consistent Rules to Adjudicate Conflicting Claims: A Constructive Geometric Approach," RCER Working Papers 528, University of Rochester - Center for Economic Research (RCER).
    3. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    4. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    5. Vito Fragnelli & Ewa Kiryluk-Dryjska, 2019. "Rationing methods for allocating the European Union’s rural development funds in Poland," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 36(1), pages 295-322, April.
    6. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    7. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Kristof Bosmans & Luc Lauwers, 2007. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," Working Papers of Department of Economics, Leuven ces0705, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    9. Kesten, Onur, 2006. "More on the uniform rule: Characterizations without Pareto optimality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 192-200, March.
    10. Kıbrıs, Özgür & Kıbrıs, Arzu, 2013. "On the investment implications of bankruptcy laws," Games and Economic Behavior, Elsevier, vol. 80(C), pages 85-99.
    11. Jordi MassóAuthor-Name: Alejandro Neme, "undated". "Maximal Domain Of Preferences In The Division Problem," UFAE and IAE Working Papers 434.99, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    12. Masso, Jordi & Neme, Alejandro, 2007. "Bribe-proof rules in the division problem," Games and Economic Behavior, Elsevier, vol. 61(2), pages 331-343, November.
    13. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    14. Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 57-67.
    15. Thomson, William, 2024. "Cost allocation and airport problems," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 17-31.
    16. José Alcalde & Josep E. Peris, 2022. "Equalizing solutions for bankruptcy problems revisited," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(2), pages 481-502, December.
    17. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
    18. Gong, Doudou & Dietzenbacher, Bas, 2024. "Equal treatment of unsatisfied agents," Research Memorandum 010, Maastricht University, Graduate School of Business and Economics (GSBE).
    19. Josep M Izquierdo & Carlos Rafels, 2024. "An egalitarian approach for the adjudication of conflicting claims," UB School of Economics Working Papers 2024/470, University of Barcelona School of Economics.
    20. Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona School of Economics.
    21. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    22. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with maximal capacity constraints," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 29-57, March.
    23. José M. Jiménez Gómez & María del Carmen Marco, 2008. "A New Approach for Bounding Awards in Bankruptcy Problems," Working Papers. Serie AD 2008-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    24. Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
    25. Salvador Barberà, 2010. "Strategy-proof social choice," Working Papers 420, Barcelona School of Economics.
    26. Bochet, Olivier & İlkılıç, Rahmi & Moulin, Hervé, 2013. "Egalitarianism under earmark constraints," Journal of Economic Theory, Elsevier, vol. 148(2), pages 535-562.
    27. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.
    28. Amoros, Pablo, 1999. "Efficiency and income redistribution in the single-peaked preferences model with several commodities," Economics Letters, Elsevier, vol. 63(3), pages 341-349, June.
    29. Miguel Ángel Mirás Calvo & Iago Núñez Lugilde & Carmen Quinteiro Sandomingo & Estela Sánchez-Rodríguez, 2023. "Deviation from proportionality and Lorenz-domination for claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 439-467, June.
    30. Salmaso, Pietro, 2024. "Welfare maximization in stable sharing services," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    31. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    32. Toyotaka Sakai & Takuma Wakayama, 2008. "Uniform, Equal Division, and Other Envy-free Rules between the Two," ISER Discussion Paper 0723, Institute of Social and Economic Research, Osaka University.
    33. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
    34. Chun, Youngsub, 2000. "Distributional properties of the uniform rule in economies with single-peaked preferences," Economics Letters, Elsevier, vol. 67(1), pages 23-27, April.
    35. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.
    36. Nicolò, Antonio & Salmaso, Pietro & Sen, Arunava & Yadav, Sonal, 2023. "Stable sharing," Games and Economic Behavior, Elsevier, vol. 141(C), pages 337-363.

  27. Thomson, W, 1995. "The Replacement Principle in Economies with Indivisible Goods," RCER Working Papers 403, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2013. "The Division Problem under Constraints," Working Papers 745, Barcelona School of Economics.
    2. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    3. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    4. Ichiishi, Tatsuro & Idzik, Adam, 1999. "Market allocation of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 457-466, December.
    5. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    6. Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
    7. Lars Ehlers, 2022. "Three public goods and lexicographic preferences: replacement principle," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 367-384, September.
    8. Youngsub Chun & Inkee Jang & Biung-Ghi Ju, 2012. "Priority, Solidarity and Egalitarianism," Working Paper Series no86, Institute of Economic Research, Seoul National University.
    9. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    10. Bochet, Olivier & Tumennasan, Norovsambuu, 2020. "Dominance of truthtelling and the lattice structure of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 185(C).
    11. Kim, Sunyoung & Bergantiños, Gustavo & Chun, Youngsub, 2015. "The separability principle in single-peaked economies with participation constraints," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 69-75.
    12. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    13. Karol Flores-Szwagrzak, 2017. "Efficient, fair, and strategy-proof (re)allocation under network constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 109-131, January.
    14. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2021. "Individually rational rules for the division problem when the number of units to be allotted is endogenous," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 376-401, April.
    15. Ruben Juarez & Jung S. You, 2019. "Optimality of the uniform rule under single-peaked preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 27-36, May.
    16. Abizada, Azar & Chen, Siwei, 2014. "A characterization of the uniform rule based on new robustness properties," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 80-85.
    17. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    18. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.
    19. Klaus Bettina, 2010. "The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division When Preferences Are Single-Peaked," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-14, April.
    20. Kazuhiko Hashimoto & Takuma Wakayama, 2015. "Fair Reallocation in Economies with Single-Peaked Preferences," ISER Discussion Paper 0947, Institute of Social and Economic Research, Osaka University.
    21. Karol Flores-Szwagrzak, 2016. "The replacement principle in networked economies with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 763-789, December.
    22. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    23. Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
    24. Agustín Bonifacio, 2015. "Bribe-proof reallocation with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 617-638, March.
    25. Patrick Harless, 2015. "Reaching consensus: solidarity and strategic properties in binary social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 97-121, June.
    26. Erel Segal-Halevi & Balázs R. Sziklai, 2019. "Monotonicity and competitive equilibrium in cake-cutting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 363-401, September.
    27. Balazs Sziklai & Erel Segal-Halevi, 2015. "Resource-monotonicity and Population-monotonicity in Cake-cutting," CERS-IE WORKING PAPERS 1552, Institute of Economics, Centre for Economic and Regional Studies.

  28. Moulin, H & Thomson, W, 1995. "Axiomatic Analysis of Resource Allocation," RCER Working Papers 400, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Koen Decancq, 2014. "Copula-based measurement of dependence between dimensions of well-being," Oxford Economic Papers, Oxford University Press, vol. 66(3), pages 681-701.
    2. MANIQUET, François, 2009. "Social orderings for the assignment of indivisible objects," LIDAM Reprints CORE 2169, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    4. Marc Fleurbaey & François Maniquet, 2008. "Fair social orderings," Post-Print hal-00246525, HAL.
    5. Somdeb Lahiri, 2005. "Consistency and the Competitive Outcome Function," Game Theory and Information 0512002, University Library of Munich, Germany.
    6. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    7. Yukihiro Nishimura, 2008. "Envy Minimization In The Optimal Tax Context," Working Paper 1178, Economics Department, Queen's University.

  29. William THOMSON, 1994. "L’absence d’envie ; une introduction," Discussion Papers (REL - Recherches Economiques de Louvain) 1994012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).

    Cited by:

    1. Arnsperger, Christian & de la Croix, David, 1994. "Envy-Minimizing Unemployment Benefits," LIDAM Discussion Papers IRES 1995001, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).

  30. Thomson, W., 1994. "Concepts of Implementation," RCER Working Papers 396, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Antonio Nicolo' & Yan Yu, 2006. "Strategic Divide and Choose," "Marco Fanno" Working Papers 0022, Dipartimento di Scienze Economiche "Marco Fanno".
    2. T Hayashi & R Jain & V Korpela & M Lombardi, 2020. "Behavioral Strong Implementation," IEAS Working Paper : academic research 20-A002, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    3. Jackson, Matthew O., 1999. "A Crash Course in Implementation Theory," Working Papers 1076, California Institute of Technology, Division of the Humanities and Social Sciences.
    4. Ritesh Jain, 2019. "Rationalizable Implementation of Social Choice Correspondences," IEAS Working Paper : academic research 19-A002, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    5. Kara, Tarik & Sonmez, Tayfun, 1996. "Nash Implementation of Matching Rules," Journal of Economic Theory, Elsevier, vol. 68(2), pages 425-439, February.
    6. Lombardi, Michele & Yoshihara, Naoki & 吉原, 直毅 & ヨシハラ, ナオキ, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.
    7. Trockel, Walter, 2017. "Integrating the Nash program into mechanism theory," Center for Mathematical Economics Working Papers 305, Center for Mathematical Economics, Bielefeld University.
    8. Mukherjee, Saptarshi & Muto, Nozomu & Ramaekers, Eve, 2017. "Implementation in undominated strategies with partially honest agents," Games and Economic Behavior, Elsevier, vol. 104(C), pages 613-631.
    9. Jain, Ritesh & Lombardi, Michele, 2022. "Continuous virtual implementation: Complete information," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    10. Marcus Berliant & Karl Dunz & William Thomson, 2000. "On the Fairness Literature: Comment," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 479-484, October.
    11. Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona School of Economics.
    12. Mukherjee, Saptarshi & Muto, Nozomu & Sen, Arunava, 2024. "Implementation in undominated strategies with applications to auction design, public good provision and matching," Journal of Economic Theory, Elsevier, vol. 216(C).
    13. Marc Fleurbaey, 2012. "Social preferences for the evaluation of procedures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 599-614, July.
    14. William Thomson, 2010. "Implementation of solutions to the problem of fair division when preferences are single-peaked," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 1-15, March.
    15. Claus-Jochen Haake & Bettina-Elisabeth Klaus, 2008. "Stability and Nash Implementation in Matching Markets with Couples," Harvard Business School Working Papers 09-017, Harvard Business School.
    16. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.

  31. Thomson, W., 1993. ""Divide and Permute" And the Implementation of Solutions to the Problem of Fair Division," RCER Working Papers 360, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Olivier Bochet, 2007. "Implementation of the Walrasian correspondence: the boundary problem," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(2), pages 301-316, October.

  32. Ching, S. & Thomson, W., 1993. "Population-Monotonic Solutions in Public Good Economies with Single- Peaked Preferences," RCER Working Papers 362, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. GORDON, Sidartha, 2006. "Solidarity in Choosing a Location on a Cycle," Cahiers de recherche 2006-06, Universite de Montreal, Departement de sciences economiques.
    2. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    3. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    4. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    5. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    6. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
    7. Chambers, Christopher P., 2008. "Consistent representative democracy," Games and Economic Behavior, Elsevier, vol. 62(2), pages 348-363, March.
    8. Shurojit Chatterji & Huaxia Zeng, 2022. "A Taxonomy of Non-dictatorial Unidimensional Domains," Papers 2201.00496, arXiv.org, revised Oct 2022.
    9. Harless, Patrick, 2015. "Solidarity with respect to small changes in preferences in public good economies with single-peaked preferences," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 81-86.
    10. GORDON, Sidartha, 2006. "Public Decisions: Solidarity and the Status Quo," Cahiers de recherche 16-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    11. Bettina Klaus, 2001. "Target Rules for Public Choice Economies on Tree Networks and in Euclidean Spaces," Theory and Decision, Springer, vol. 51(1), pages 13-29, August.

  33. Thomson, W., 1992. "The Replacement Principle in Public Good Economies with Single-Peaked Preferences," RCER Working Papers 340, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. GORDON, Sidartha, 2006. "Solidarity in Choosing a Location on a Cycle," Cahiers de recherche 2006-06, Universite de Montreal, Departement de sciences economiques.
    2. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    3. William Thomson, 2014. "Non-bossiness," RCER Working Papers 586, University of Rochester - Center for Economic Research (RCER).
    4. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    5. Saari, Donald G. & Valognes, Fabrice, 1999. "The geometry of Black's single peakedness and related conditions," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 429-456, December.
    6. Chatterji, Shurojit & Sen, Arunava & Zeng, Huaxia, 2016. "A characterization of single-peaked preferences via random social choice functions," Economics and Statistics Working Papers 11-2016, Singapore Management University, School of Economics.
    7. Ehlers, L., 2001. "Multiple Public Goods and Lexicographic Preferences Replacement Principle," Cahiers de recherche 2001-25, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    8. Lars Ehlers, 2022. "Three public goods and lexicographic preferences: replacement principle," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 367-384, September.
    9. Bu, Nanyang, 2013. "Unfolding the mystery of false-name-proofness," Economics Letters, Elsevier, vol. 120(3), pages 559-561.
    10. Bettina Klaus & Panos Protopapas, 2020. "Solidarity for public goods under single-peaked preferences: characterizing target set correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 405-430, October.
    11. Masashi Umezawa, 2012. "The replacement principle for the provision of multiple public goods on tree networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 211-235, February.
    12. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    13. Fumiya Inoue & Hirofumi Yamamura, 2023. "Binary mechanism for the allocation problem with single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(4), pages 647-669, May.
    14. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    15. Ehlers, Lars, 2003. "Multiple public goods, lexicographic preferences, and single-plateaued preference rules," Games and Economic Behavior, Elsevier, vol. 43(1), pages 1-27, April.
    16. Bochet, Olivier & Tumennasan, Norovsambuu, 2020. "Dominance of truthtelling and the lattice structure of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 185(C).
    17. Tadenuma, Koichi & 蓼沼, 宏一, 2010. "Partnership-Enhancement and Stability in Matching Problems," CCES Discussion Paper Series 30, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    18. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    19. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
    20. Sarvesh Bandhu & Bishwajyoti Mondal & Anup Pramanik, 2021. "Strategy-proofness of the unanimity with status-quo rule over restricted domains," Working Papers 2021-02, Shiv Nadar University, Department of Economics.
    21. Chambers, Christopher P., 2008. "Consistent representative democracy," Games and Economic Behavior, Elsevier, vol. 62(2), pages 348-363, March.
    22. Chatterji, Shurojit & Zeng, Huaxia, 2023. "A taxonomy of non-dictatorial unidimensional domains," Games and Economic Behavior, Elsevier, vol. 137(C), pages 228-269.
    23. Sidartha Gordon, 2015. "Unanimity in attribute-based preference domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 13-29, January.
    24. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2016. "Immunity to Credible Deviations from the Truth," Working Papers 893, Barcelona School of Economics.
    25. Bossert, Walter & Sprumont, Yves, 2014. "Strategy-proof preference aggregation: Possibilities and characterizations," Games and Economic Behavior, Elsevier, vol. 85(C), pages 109-126.
    26. Klaus, Bettina & Peters, Hans & Storcken, Ton, 1997. "Strategy-proof division of a private good when preferences are single-dipped," Economics Letters, Elsevier, vol. 55(3), pages 339-346, September.
    27. Bandhu, Sarvesh & Lahiri, Abhinaba & Pramanik, Anup, 2020. "A characterization of status quo rules in the binary social choice model," Economics Letters, Elsevier, vol. 191(C).
    28. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.
    29. Shurojit Chatterji & Huaxia Zeng, 2022. "A Taxonomy of Non-dictatorial Unidimensional Domains," Papers 2201.00496, arXiv.org, revised Oct 2022.
    30. Fleurbaey, Marc, 1996. "Reward patterns of fair solutions," Journal of Public Economics, Elsevier, vol. 59(3), pages 365-395, March.
    31. BOSSERT, Walter & SPRUMONT, Yves, 2012. "Strategy-proof Preference Aggregation," Cahiers de recherche 2012-10, Universite de Montreal, Departement de sciences economiques.
    32. Athanasoglou, Stergios, 2019. "Solidarity and efficiency in preference aggregation: A tale of two rules," Games and Economic Behavior, Elsevier, vol. 118(C), pages 126-140.
    33. Sidartha Gordon, 2014. "Unanimity in Attribute-Based Preference Domains," SciencePo Working papers Main hal-01061994, HAL.
    34. Harless, Patrick, 2015. "Solidarity with respect to small changes in preferences in public good economies with single-peaked preferences," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 81-86.
    35. Ehlers, Lars, 2001. "Independence axioms for the provision of multiple public goods as options," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 239-250, March.
    36. GORDON, Sidartha, 2006. "Public Decisions: Solidarity and the Status Quo," Cahiers de recherche 16-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    37. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    38. Sidartha Gordon, 2014. "Unanimity in Attribute-Based Preference Domains," SciencePo Working papers hal-01061994, HAL.
    39. Stergios, Athanasoglou, 2017. "Solidarity and efficiency in preference aggregation: a tale of two rules," Working Papers 390, University of Milano-Bicocca, Department of Economics, revised Nov 2018.
    40. Patrick Harless, 2015. "Reaching consensus: solidarity and strategic properties in binary social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 97-121, June.
    41. Vohra, Rakesh V., 1999. "The replacement principle and tree structured preferences," Economics Letters, Elsevier, vol. 63(2), pages 175-180, May.
    42. Mihir Bhattacharya, 2016. "Multilevel multidimensional consistent aggregators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 839-861, April.
    43. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    44. Dolors Berga & Bernardo Moreno & Antonio Nicolò, 2023. "Undominated rules with three alternatives in an almost unrestricted domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 65-74, January.
    45. Bettina Klaus, 2001. "Target Rules for Public Choice Economies on Tree Networks and in Euclidean Spaces," Theory and Decision, Springer, vol. 51(1), pages 13-29, August.

  34. Thomson, W., 1992. "Consistent Extensions," RCER Working Papers 329, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. İpek Özkal-Sanver, 2013. "Minimal conversely consistent extension of the men-optimal solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 89-99, January.
    2. Kesten, Onur, 2006. "More on the uniform rule: Characterizations without Pareto optimality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 192-200, March.
    3. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    4. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    5. Yu-Hsien Liao, 2012. "Converse consistent enlargements of the unit-level-core of the multi-choice games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(4), pages 743-753, December.
    6. Paula Jaramillo, 2014. "Minimal consistent enlargements of the immediate acceptance rule and the top trading cycles rule in school choice," Documentos CEDE 12343, Universidad de los Andes, Facultad de Economía, CEDE.
    7. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    8. Yeh, Chun-Hsien, 2006. "Reduction-consistency in collective choice problems," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 637-652, September.
    9. Yu-Hsien Liao, 2018. "The precore: converse consistent enlargements and alternative axiomatic results," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 146-163, April.
    10. Korthues, Bernd, 2000. "Characterization of an extended Walrasian concept for open economies," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 449-461, May.
    11. Dietzenbacher, Bas & Yanovskaya, Elena, 2021. "Self-antidual extensions and subsolutions," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 105-109.

  35. Thomson, W., 1992. "The Replacement Principle in Private Good Economies with Single- Peaked Preferences," RCER Working Papers 341, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.

  36. Thomson, W., 1991. "Population-Monotonic Solutions to the Problem of Fair Division when Preferences are Single-Peaked," RCER Working Papers 302, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2013. "The Division Problem under Constraints," Working Papers 745, Barcelona School of Economics.
    2. Bettina Klaus & Hans Peters & Ton Storcken, 1997. "Reallocation of an infinitely divisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 305-333.
    3. Yengin, Duygu & Chun, Youngsub, 2020. "No-envy, solidarity, and strategy-proofness in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 87-97.
    4. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    5. Lahiri, Somdeb, 2001. "Axiomatic characterizations of the CEA solution for rationing problems," European Journal of Operational Research, Elsevier, vol. 131(1), pages 162-170, May.
    6. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    7. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    8. Moulin, Herve, 1999. "Rationing a Commodity along Fixed Paths," Journal of Economic Theory, Elsevier, vol. 84(1), pages 41-72, January.
    9. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    10. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    11. Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
    12. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    14. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    15. Ehlers, Lars, 2003. "Multiple public goods, lexicographic preferences, and single-plateaued preference rules," Games and Economic Behavior, Elsevier, vol. 43(1), pages 1-27, April.
    16. Bochet, Olivier & Tumennasan, Norovsambuu, 2020. "Dominance of truthtelling and the lattice structure of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 185(C).
    17. Jordi MassóAuthor-Name: Alejandro Neme, "undated". "Maximal Domain Of Preferences In The Division Problem," UFAE and IAE Working Papers 434.99, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    18. Kim, Sunyoung & Bergantiños, Gustavo & Chun, Youngsub, 2015. "The separability principle in single-peaked economies with participation constraints," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 69-75.
    19. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    20. Karol Flores-Szwagrzak, 2017. "Efficient, fair, and strategy-proof (re)allocation under network constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 109-131, January.
    21. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
    22. Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 57-67.
    23. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2021. "Individually rational rules for the division problem when the number of units to be allotted is endogenous," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 376-401, April.
    24. Herrero, Carmen & Villar, Antonio, 2000. "An alternative characterization of the equal-distance rule for allocation problems with single-peaked preferences," Economics Letters, Elsevier, vol. 66(3), pages 311-317, March.
    25. Ruben Juarez & Jung S. You, 2019. "Optimality of the uniform rule under single-peaked preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 27-36, May.
    26. Gong, Doudou & Dietzenbacher, Bas, 2024. "Equal treatment of unsatisfied agents," Research Memorandum 010, Maastricht University, Graduate School of Business and Economics (GSBE).
    27. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2009. "A Characterization of the Uniform Rule with Several Commodities and Agents," ISER Discussion Paper 0769, Institute of Social and Economic Research, Osaka University.
    28. Abizada, Azar & Chen, Siwei, 2014. "A characterization of the uniform rule based on new robustness properties," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 80-85.
    29. Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
    30. Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona School of Economics.
    31. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    32. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with maximal capacity constraints," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 29-57, March.
    33. Doudou Gong & Bas Dietzenbacher & Hans Peters, 2024. "Mechanisms and axiomatics for division problems with single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 789-813, November.
    34. Eun Jeong Heo & Sunghoon Hong & Youngsub Chun, 2021. "Kidney exchange with immunosuppressants," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 1-19, July.
    35. Duygu Yengin, 2011. "Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds," School of Economics and Public Policy Working Papers 2011-34, University of Adelaide, School of Economics and Public Policy.
    36. Chun, Youngsub, 2003. "One-sided population monotonicity, separability, and the uniform rule," Economics Letters, Elsevier, vol. 78(3), pages 343-349, March.
    37. Amoros, Pablo, 1999. "Efficiency and income redistribution in the single-peaked preferences model with several commodities," Economics Letters, Elsevier, vol. 63(3), pages 341-349, June.
    38. Adachi, Tsuyoshi, 2010. "The uniform rule with several commodities: A generalization of Sprumont's characterization," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 952-964, November.
    39. Schummer, J. & Thomson, W., 1996. "Two Derivations of the Uniform Rule and an Application to Bankruptcy," RCER Working Papers 423, University of Rochester - Center for Economic Research (RCER).
    40. Kazuhiko Hashimoto & Takuma Wakayama, 2015. "Fair Reallocation in Economies with Single-Peaked Preferences," ISER Discussion Paper 0947, Institute of Social and Economic Research, Osaka University.
    41. Bettina Klaus, 2004. "A Note on the Separability Principle in Economies with Single-Peaked," UFAE and IAE Working Papers 601.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 14 Nov 2005.
    42. Karol Flores-Szwagrzak, 2016. "The replacement principle in networked economies with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 763-789, December.
    43. Moreno, Bernardo, 2002. "Single-peaked preferences, endowments and population-monotonicity," Economics Letters, Elsevier, vol. 75(1), pages 87-95, March.
    44. Ruben Juarez & Kohei Nitta & Miguel Vargas, 2020. "Profit-sharing and efficient time allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 817-846, October.
    45. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    46. Klaus, B.E. & Storcken, A.J.A. & Peters, H.J.M., 1995. "Strategy-proof division with single-peaked preferences and initial endowments," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    47. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
    48. Roy, Souvik & Sadhukhan, Soumyarup, 2020. "On the structure of division rules," MPRA Paper 104402, University Library of Munich, Germany.
    49. Yengin, Duygu, 2013. "Population monotonic and strategy-proof mechanisms respecting welfare lower bounds," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 389-397.
    50. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    51. Chun, Youngsub, 2000. "Distributional properties of the uniform rule in economies with single-peaked preferences," Economics Letters, Elsevier, vol. 67(1), pages 23-27, April.

  37. Thomson, W., 1991. "Resource-Monotonic Solutions to the Problem of Fair Divosion when Preferences are Single-Peaked ," RCER Working Papers 301, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Bettina Klaus & Hans Peters & Ton Storcken, 1997. "Reallocation of an infinitely divisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 305-333.
    2. Antonio Nicolo' & Yan Yu, 2006. "Strategic Divide and Choose," "Marco Fanno" Working Papers 0022, Dipartimento di Scienze Economiche "Marco Fanno".
    3. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    4. EHLERS, Lars, 2001. "On Fixed-Path Rationing Methods," Cahiers de recherche 2001-24, Universite de Montreal, Departement de sciences economiques.
    5. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    6. Carmen Herrero Blanco & Ricardo Martínez, 2006. "Allocation Problems With Indivisibilities When Preferences Are Single-Peaked," Working Papers. Serie AD 2006-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    7. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Özgür Kýbrýs & Serkan Küçükþenel, 2005. "Trade rules for uncleared markets," Microeconomics 0508002, University Library of Munich, Germany.
    9. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    10. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    11. Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 57-67.
    12. Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona School of Economics.
    13. Lars Ehlers, 2011. "A characterization of the uniform rule without Pareto-optimality," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 447-452, December.
    14. Klaus, B.E. & Storcken, A.J.A. & Peters, H.J.M., 1995. "Strategy-proof division with single-peaked preferences and initial endowments," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    15. Toyotaka Sakai & Takuma Wakayama, 2008. "Uniform, Equal Division, and Other Envy-free Rules between the Two," ISER Discussion Paper 0723, Institute of Social and Economic Research, Osaka University.
    16. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.

  38. Thomson, W., 1990. "Monotonic And Consistent Solutions To The Problem Of Fair Allocation When Preferences Are Single-Peaked," RCER Working Papers 231, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Tatamitani, Yoshikatsu, 2002. "Implementation by self-relevant mechanisms: applications," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 253-276, December.
    2. Yamato, Takehiko, 1999. "Nash implementation and double implementation: equivalence theorems1," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 215-238, March.
    3. Tatamitani, Yoshikatsu, 2001. "Implementation by self-relevant mechanisms," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 427-444, June.
    4. Barbera, Salvador & Jackson, Matthew O, 1995. "Strategy-Proof Exchange," Econometrica, Econometric Society, vol. 63(1), pages 51-87, January.
    5. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    6. Doghmi Ahmed, 2014. "Nash Implementation in Rationing Problems with Single-Crossing Preferences," Mathematical Economics Letters, De Gruyter, vol. 1(2-4), pages 69-74, July.

  39. Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 2006-01, Universite de Montreal, Departement de sciences economiques.
    2. Anne van den Nouweland & Myrna H. Wooders & S. Tijs, 2002. "Axiomatization of ratio equilibria in public good economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 627-636.
    3. Jerry Green, 2005. "Compensatory transfers in two-player decision problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 159-180, June.
    4. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics.
    5. Shlomo Weber & Hans Wiesmeth, 1990. "On the theory of cost sharing," Journal of Economics, Springer, vol. 52(1), pages 71-82, February.
    6. Suchan Chae & Hervé Moulin, 2010. "Bargaining among groups: an axiomatic viewpoint," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 71-88, March.
    7. Josep Maria Izquierdo Aznar & Francesc Llerena & Carlos Rafels Pallarola, 2004. "Sequential decisions in allocation problems," Working Papers in Economics 116, Universitat de Barcelona. Espai de Recerca en Economia.
    8. Hans Gersbach & Hans Haller, 2011. "Bargaining cum voice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 199-225, February.
    9. Michael Suk-Young Chwe, 1993. "Farsighted Coalitional Stability," Working Papers _001, University of Chicago, Department of Economics.
    10. Suchan Chae & Paul Heidhues, 2001. "Nash Bargaining Solution with Coalitions and The Joint Bargaining Paradox," CIG Working Papers FS IV 01-15, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
    11. Werner Güth, "undated". "On the Inconsistency of Equilibrium Refinement," Papers on Strategic Interaction 2002-48, Max Planck Institute of Economics, Strategic Interaction Group.
    12. Nir Dagan & Roberto Serrano & Oscar Volij, 1999. "Feasible Implementation of Taxation Methods," Economic theory and game theory 009, Nir Dagan.
    13. Francesc Llerena & Carles Rafels, 2005. "On reasonable outcomes and the core in cooperative TU games," Working Papers 160, Barcelona School of Economics.
    14. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
    15. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, University Library of Munich, Germany, revised 06 Dec 1996.
    16. Carmen Bevia, 1996. "Identical preferences lower bound solution and consistency in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 113-126, January.

  40. Thomson, W., 1989. "Cooperative Models Of Bargaining," RCER Working Papers 177, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Fabio Galeotti & Maria Montero & Anders Poulsen, 2018. "The Attraction and Compromise Effects in Bargaining: Experimental Evidence," Post-Print halshs-01820223, HAL.
    2. Jaramillo, Fernando & Kempf, Hubert & Moizeau, Fabien, 2015. "Heterogeneity and the formation of risk-sharing coalitions," Journal of Development Economics, Elsevier, vol. 114(C), pages 79-96.
    3. Nir Dagan & Roberto Serrano, 1997. "Invariance and randomness in the Nash program for coalitional games," Economics Working Papers 217, Department of Economics and Business, Universitat Pompeu Fabra.
    4. Emanuela Carbonara & Francesco Parisi, "undated". "The Economics of Legal Harmonization," German Working Papers in Law and Economics 2006-1-1149, Berkeley Electronic Press.
    5. Jonathan Shalev, 2002. "Loss Aversion and Bargaining," Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
    6. SPRUMONT, Yves, 1997. "A Note on Ordinally Equivalent Pareto Surfaces," Cahiers de recherche 9702, Universite de Montreal, Departement de sciences economiques.
    7. Fischhendler, Itay, 2007. "Escaping the "polluter pays" trap: Financing wastewater treatment on the Tijuana-San Diego border," Ecological Economics, Elsevier, vol. 63(2-3), pages 485-498, August.
    8. Carlos Alós-Ferrer & Jaume García-Segarra & Miguel Ginés-Vilar, 2018. "Anchoring on Utopia: a generalization of the Kalai–Smorodinsky solution," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 141-155, October.
    9. Ching-jen Sun, 2018. "The bargaining correspondence: when Edgeworth meets Nash," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 337-359, August.
    10. Forgo, Ferenc & Fulop, Janos & Prill, Maria, 2005. "Game theoretic models for climate change negotiations," European Journal of Operational Research, Elsevier, vol. 160(1), pages 252-267, January.
    11. Randall Wright & Cathy Zhang & Guillaume Rocheteau, 2016. "Corporate Finance and Monetary Policy," 2016 Meeting Papers 97, Society for Economic Dynamics.
    12. J Rios & D Rios Insua, 2008. "A framework for participatory budget elaboration support," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(2), pages 203-212, February.
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    Cited by:

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    24. Dominik Karos, 2013. "Bargaining and Power," Working Papers 2013.63, Fondazione Eni Enrico Mattei.
    25. Simon Gächter & Arno Riedl, 2003. "Moral Property Rights in Bargaining with Infeasible Claims," Tinbergen Institute Discussion Papers 03-055/1, Tinbergen Institute.
    26. Josune Albizuri, M. & Dietzenbacher, Bas & Zarzuelo, J., 2019. "Bargaining with Independence of Higher or Irrelevant Claims," Discussion Paper 2019-033, Tilburg University, Center for Economic Research.
    27. M. Carmen Marco & Josep E. Peris & Begoña Subiza, 2020. "A Concessions-Based Procedure for Meta-Bargaining Problems," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 105-120, November.
    28. B. Dietzenbacher & A. Estévez-Fernández & P. Borm & R. Hendrickx, 2021. "Proportionality, equality, and duality in bankruptcy problems with nontransferable utility," Annals of Operations Research, Springer, vol. 301(1), pages 65-80, June.
    29. Xavier Cuadras‐Morató & José‐Luis Pinto‐Prades & José‐María Abellán‐Perpiñán, 2001. "Equity considerations in health care: the relevance of claims," Health Economics, John Wiley & Sons, Ltd., vol. 10(3), pages 187-205, April.
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    31. Carmen Herrero & Antonio Villar, 2009. "The Rights-Egalitarian Solution for NTU Sharing Problems," Working Papers 09.01, Universidad Pablo de Olavide, Department of Economics.
    32. Marco-Gil, Maria del Carmen & Peris, Josep E. & Subiza, Begoña, 2012. "A Concessions-Based Mechanism for Meta-Bargaining Problems," QM&ET Working Papers 12-13, University of Alicante, D. Quantitative Methods and Economic Theory.
    33. Luis Corchón & Matthias Dahm, 2010. "Foundations for contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 81-98, April.
    34. Paula González & Nicolás Porteiro, 2009. "New perspectives in the design of pharmaceutical copayments," Economic Working Papers at Centro de Estudios Andaluces E2009/07, Centro de Estudios Andaluces.
    35. Dominik Karos, 2015. "Stable partitions for games with non-transferable utilities and externalities," Economics Series Working Papers 741, University of Oxford, Department of Economics.
    36. Carmen Herrero, 1996. "Capabilities and utilities," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 69-88, December.
    37. Özgür Kıbrıs, 2013. "On recursive solutions to simple allocation problems," Theory and Decision, Springer, vol. 75(3), pages 449-463, September.
    38. Kıbrıs, Özgür & Tapkı, İpek Gürsel, 2011. "Bargaining with nonanonymous disagreement: Decomposable rules," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 151-161.
    39. Simon Gächter & Arno Riedl, 2004. "Dividing justly in Bargaining Problems with Claims," Tinbergen Institute Discussion Papers 04-044/1, Tinbergen Institute.
    40. Özgür Kıbrıs, 2012. "A revealed preference analysis of solutions to simple allocation problems," Theory and Decision, Springer, vol. 72(4), pages 509-523, April.
    41. Ansink, Erik & Weikard, Hans-Peter, 2009. "Contested water rights," European Journal of Political Economy, Elsevier, vol. 25(2), pages 247-260, June.
    42. Dominik Karos, 2016. "Stable partitions for games with non-transferable utility and externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 817-838, November.
    43. Marina Núñez & Carles Rafels, 2008. "A Cooperative Bargaining Approach to the Assignment Market," Group Decision and Negotiation, Springer, vol. 17(6), pages 553-563, November.
    44. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    45. Serrano, Roberto, 1995. "Strategic bargaining, surplus sharing problems and the nucleolus," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 319-329.
    46. Bas Dietzenbacher, 2023. "Generalizing the constrained equal awards rule," Theory and Decision, Springer, vol. 95(1), pages 131-150, July.
    47. Emin Karagözoğlu & Kerim Keskin, 2015. "A Tale of Two Bargaining Solutions," Games, MDPI, vol. 6(2), pages 1-14, June.
    48. Marco López-Cerdá & Guillermo Owen & Jos Potters & Carles Raffels & E. Calvo & F. Valenciano & J. Zarzuelo, 1993. "Discussion," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 1(1), pages 36-51, December.
    49. Majumdar, Dipjyoti, 2004. "An axiomatic characterization of Bayes' Rule," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 261-273, May.
    50. Balakrishnan, P.V. (Sundar) & Gómez, Juan Camilo & Vohra, Rakesh V., 2011. "The Tempered Aspirations solution for bargaining problems with a reference point," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 144-150.
    51. Naeve-Steinweg, E., 2004. "The averaging mechanism," Games and Economic Behavior, Elsevier, vol. 46(2), pages 410-424, February.
    52. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.
    53. Marina Núñez & Carles Rafels, 2004. "Bargained stable allocations in assignment markets," Working Papers 153, Barcelona School of Economics.

  42. Lensberg, T. & Thomson, W., 1988. "Characterizing The Nash Bargaining Solution Without Pareto-Optimality," RCER Working Papers 136, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. William Thomson, 2020. "Reconciling Consistency and Continuity: A Bounded-Population Characterization of the Nash Bargaining Solution," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 43-57, November.
    2. Rachmilevitch, Shiran, 2015. "Nash bargaining with (almost) no rationality," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 107-109.
    3. NAKAMURA, Kensei, 2023. "Characterizing the Nash bargaining solution with continuity and almost no individual rationality," Discussion Papers 2023-02, Graduate School of Economics, Hitotsubashi University.
    4. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2011. "On the asymptotic uniqueness of bargaining equilibria," Economics Letters, Elsevier, vol. 111(3), pages 243-246, June.
    5. Dominik Karos & Nozomu Muto & Shiran Rachmilevitch, 2018. "A generalization of the Egalitarian and the Kalai–Smorodinsky bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1169-1182, November.
    6. M. Voorneveld & A. Nouweland & R. McLean, 2011. "Axiomatizations of the Euclidean compromise solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 427-448, August.
    7. Klaus Kultti & Hannu Vartiainen, 2010. "Multilateral non-cooperative bargaining in a general utility space," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 677-689, October.
    8. Shiran Rachmilevitch, 2021. "No individual priorities and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 855-863, May.
    9. Driesen, Bram, 2016. "Truncated Leximin solutions," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 79-87.
    10. Donald Campbell & Jerry Kelly, 2014. "Universally beneficial manipulation: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 329-355, August.
    11. Shiran Rachmilevitch, 2019. "Egalitarianism, utilitarianism, and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 741-751, April.

  43. Chun, Y. & Thomson, W., 1988. "Nash Solution And Uncertain Disagreement Points," RCER Working Papers 134, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Nir Dagan & Oscar Volij & Eyal Winter, 2000. "A Characterization of the Nash Bargaining Solution," Economic theory and game theory 018, Nir Dagan, revised 21 Sep 2000.
    2. Eran Hanany & D. Marc Kilgour & Yigal Gerchak, 2007. "Final-Offer Arbitration and Risk Aversion in Bargaining," Management Science, INFORMS, vol. 53(11), pages 1785-1792, November.
    3. Rebolledo, Mayra, 2020. "M&A, uncertainty, and bargaining power: Evidence from the German retail sector," CAWM Discussion Papers 116, University of Münster, Münster Center for Economic Policy (MEP).
    4. Hom M Pant, 1996. "Endogenous Behaviour of the Tariff Rate in a Political Economy," International Trade 9609001, University Library of Munich, Germany, revised 01 Oct 1996.
    5. Shiran Rachmilevitch, 2011. "Disagreement point axioms and the egalitarian bargaining solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 63-85, February.
    6. Geoffroy Clippel, 2007. "An axiomatization of the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 201-210, September.
    7. Youngsub Chun, 2021. "Axioms concerning uncertain disagreement points in 2-person bargaining problems," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 6(1), pages 37-58, December.
    8. Vartiainen, Hannu, 2007. "Collective choice with endogenous reference outcome," Games and Economic Behavior, Elsevier, vol. 58(1), pages 172-180, January.
    9. Sinan Ertemel & Rajnish Kumar, 2018. "Proportional rules for state contingent claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 229-246, March.
    10. Dietzenbacher, Bas & Peters, Hans, 2018. "Characterizing NTU-Bankruptcy Rules using Bargaining Axioms," Discussion Paper 2018-005, Tilburg University, Center for Economic Research.
    11. Chun, Youngsub, 2002. "The Converse Consistency Principle in Bargaining," Games and Economic Behavior, Elsevier, vol. 40(1), pages 25-43, July.
    12. Hadi Charkhgard & Martin Savelsbergh & Masoud Talebian, 2018. "Nondominated Nash points: application of biobjective mixed integer programming," 4OR, Springer, vol. 16(2), pages 151-171, June.
    13. Yuan Ju, 2013. "Efficiency and compromise: a bid-offer–counteroffer mechanism with two players," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 501-520, May.
    14. Taiji Furusawa & Quan Wen, 2001. "Unique Inneficient Perfect Equilibrium in a Stochastic Model of Bargaining with Complete Information," Vanderbilt University Department of Economics Working Papers 0121, Vanderbilt University Department of Economics.
    15. Kıbrıs, Özgür & Tapkı, İpek Gürsel, 2011. "Bargaining with nonanonymous disagreement: Decomposable rules," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 151-161.
    16. Walter Bossert & Hans Peters, 2022. "Individual disagreement point concavity and the bargaining problem," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 6-15, March.
    17. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    18. Xu, Yongsheng, 2012. "Symmetry-based compromise and the Nash solution to convex bargaining problems," Economics Letters, Elsevier, vol. 115(3), pages 484-486.
    19. Balakrishnan, P.V. (Sundar) & Gómez, Juan Camilo & Vohra, Rakesh V., 2011. "The Tempered Aspirations solution for bargaining problems with a reference point," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 144-150.
    20. Klein, Gordon & Rebolledo, Mayra, 2020. "Uncertainty, bargaining power and bargaining solutions: An empirical application," CAWM Discussion Papers 115, University of Münster, Münster Center for Economic Policy (MEP).
    21. Smorodinsky, Rann, 2005. "Nash's bargaining solution when the disagreement point is random," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 3-11, July.

  44. Diamantaras, D. & Thomson, W., 1988. "A Refinement And Extension Of The No-Envy Concept," RCER Working Papers 133, University of Rochester - Center for Economic Research (RCER).

    Cited by:

    1. Andersson, Tommy & Svensson, Lars-Gunnar, 2007. "Weakly Fair Allocations and Strategy-Proofness," Working Papers 2007:3, Lund University, Department of Economics, revised 03 Jul 2007.
    2. Obara, Takuya & 小原, 拓也 & Tsugawa, Shuichi & Managi, Shunsuke, 2019. "Envy-free Pricing for Impure Public Good," CCES Discussion Paper Series 69, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    3. Tadenuma, Koichi, 2002. "Efficiency First or Equity First? Two Principles and Rationality of Social Choice," Journal of Economic Theory, Elsevier, vol. 104(2), pages 462-472, June.
    4. Takuya Obara & Shuichi Tsugawa & Shunsuke Managi, 2021. "$$\lambda $$ λ envy-free pricing for impure public good," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 11-25, April.
    5. Andersson, T. & Svensson, L.-G. & Yang, Z., 2010. "Constrainedly fair job assignments under minimum wages," Games and Economic Behavior, Elsevier, vol. 68(2), pages 428-442, March.
    6. Nishimura, Yukihiro, 2003. "Optimal non-linear income taxation for reduction of envy," Journal of Public Economics, Elsevier, vol. 87(2), pages 363-386, February.
    7. Lloret-Batlle, Roger & Jayakrishnan, R., 2016. "Envy-minimizing pareto efficient intersection control with brokered utility exchanges under user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 22-42.
    8. Norihito Sakamoto, 2013. "No-envy, efficiency, and collective rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1033-1045, April.
    9. Arnsperger, Christian & de la Croix, David, 1994. "Envy-Minimizing Unemployment Benefits," LIDAM Discussion Papers IRES 1995001, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    10. William C. Grant, 2023. "Correlated Equilibrium and Evolutionary Stability in 3-Player Rock-Paper-Scissors," Games, MDPI, vol. 14(3), pages 1-16, May.
    11. Sakamoto, Norihito & 坂本, 徳仁, 2011. "No-Envy, Efficiency, and Collective Rationality," Discussion Papers 2011-08, Graduate School of Economics, Hitotsubashi University.
    12. Laurence Kranich, 1999. "Measuring Opportunity Inequality with Monetary Transfers," Discussion Papers 99-02, University at Albany, SUNY, Department of Economics.
    13. Francisco Sánchez Sánchez, 2022. "Envy-Free Solutions to the Problem of Room Assignment and Rent Division," Group Decision and Negotiation, Springer, vol. 31(3), pages 703-721, June.
    14. Kranich, Laurence, 2015. "Equal shadow wealth: A new concept of fairness in exchange economies," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 110-117.
    15. Corchon, Luis C. & Iturbe-Ormaetxe, Inigo, 2001. "A Proposal to Unify Some Concepts in the Theory of Fairness," Journal of Economic Theory, Elsevier, vol. 101(2), pages 540-571, December.
    16. Bosmans, K.G.M. & Öztürk, Z.E., 2013. "An axiomatic approach to the measurement of envy," Research Memorandum 063, Maastricht University, Graduate School of Business and Economics (GSBE).
    17. Shuichi Tsugawa & Takuya Obara, 2017. "Public good provision financed by nonlinear income tax under reduction of envy," Working Papers e117, Tokyo Center for Economic Research.
    18. Marc Fleurbaey, 2006. "To Envy or to be Envied? Refinements of No-Envy fot the Compensation Problem," IDEP Working Papers 0603, Institut d'economie publique (IDEP), Marseille, France, revised Jul 2006.
    19. Chavas, Jean-Paul, 2008. "On fair allocations," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 258-272, October.
    20. Yukihiro Nishimura, 2008. "Envy Minimization In The Optimal Tax Context," Working Paper 1178, Economics Department, Queen's University.

Articles

  1. Thomson, William, 2016. "A new characterization of the proportional rule for claims problems," Economics Letters, Elsevier, vol. 145(C), pages 255-257.

    Cited by:

    1. Peter Csoka & P. Jean-Jacques Herings, 2017. "An Axiomatization of the Proportional Rule in Financial Networks," CERS-IE WORKING PAPERS 1701, Institute of Economics, Centre for Economic and Regional Studies.
    2. Karol Flores-Szwagrzak & Jaume García-Segarra & Miguel Ginés-Vilar, 2020. "Priority and proportionality in bankruptcy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 559-579, April.
    3. Dietzenbacher, Bas, 2018. "Egalitarian allocation principles," Other publications TiSEM 01be3135-efa6-4f51-b2ef-0, Tilburg University, School of Economics and Management.
    4. Csóka, Péter, 2017. "Az arányos csődszabály karakterizációja körbetartozások esetén [The characterization of the proportional rule in the case of circular liabilities]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 930-942.

  2. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.

    Cited by:

    1. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
    2. René VAN DEN BRINK & Juan D. MORENO-TERNERO, 2017. "The reverse TAL-family of rules for bankruptcy problems," LIDAM Reprints CORE 2873, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Gustavo Bergantinos & Juan D. Moreno-Ternero, 2023. "Anonymity in sharing the revenues from broadcasting sports leagues," Papers 2303.17897, arXiv.org.
    4. Wulf Gaertner & Richard Bradley & Yongsheng Xu & Lars Schwettmann, 2019. "Against the proportionality principle: Experimental findings on bargaining over losses," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-18, July.
    5. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    6. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2019. "A family of rules to share the revenues from broadcasting sport events," MPRA Paper 94310, University Library of Munich, Germany, revised 04 Jun 2019.
    7. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "Reassignment-proof rules for land rental problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 173-193, March.
    8. Zou, Zhengxing & van den Brink, René & Funaki, Yukihiko, 2021. "Compromising between the proportional and equal division values," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    9. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Compromising to share the revenues from broadcasting sports leagues," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 57-74.

  3. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    See citations under working paper version above.
  4. William Thomson, 2014. "New variable-population paradoxes for resource allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 255-277, February.
    See citations under working paper version above.
  5. Thomson, William, 2013. "A characterization of a family of rules for the adjudication of conflicting claims," Games and Economic Behavior, Elsevier, vol. 82(C), pages 157-168.
    See citations under working paper version above.
  6. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    See citations under working paper version above.
  7. William Thomson, 2012. "Lorenz rankings of rules for the adjudication of conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 547-569, August.
    See citations under working paper version above.
  8. Thomson, William, 2012. "On The Axiomatics Of Resource Allocation: Interpreting The Consistency Principle," Economics and Philosophy, Cambridge University Press, vol. 28(3), pages 385-421, November.
    See citations under working paper version above.
  9. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    See citations under working paper version above.
  10. William Thomson, 2010. "Implementation of solutions to the problem of fair division when preferences are single-peaked," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 1-15, March.

    Cited by:

    1. Doghmi Ahmed & Ziad Abderrahmane, 2013. "On Partially Honest Nash Implementation in Private Good Economies with Restricted Domains: A Sufficient Condition," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 415-428, September.
    2. Doghmi, Ahmed & Ziad, Abderrahmane, 2015. "Nash implementation in private good economies with single-plateaued preferences and in matching problems," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 32-39.
    3. Ahmed Doghmi & Abderrahmane ZIAD, 2012. "On Partial Honesty Nash Implementation," Economics Working Paper Archive (University of Rennes & University of Caen) 201201, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    4. Ghatak, Maitreesh & Maniquet, Francois, 2019. "Universal Basic Income: Some Theoretical Aspects," CEPR Discussion Papers 13635, C.E.P.R. Discussion Papers.
    5. Ahmed Doghmi & Abderrahmane Ziad, 2013. "Nash Implementation in Private Good Economies with Single-Plateaued Preferences," Economics Working Paper Archive (University of Rennes & University of Caen) 201311, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    6. Lombardi, Michele & Yoshihara, Naoki & 吉原, 直毅 & ヨシハラ, ナオキ, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.
    7. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    8. Gong, Doudou & Dietzenbacher, Bas, 2024. "Equal treatment of unsatisfied agents," Research Memorandum 010, Maastricht University, Graduate School of Business and Economics (GSBE).
    9. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2009. "A Characterization of the Uniform Rule with Several Commodities and Agents," ISER Discussion Paper 0769, Institute of Social and Economic Research, Osaka University.
    10. Doudou Gong & Bas Dietzenbacher & Hans Peters, 2024. "Mechanisms and axiomatics for division problems with single-dipped preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 789-813, November.
    11. Doğan, Battal, 2016. "Nash-implementation of the no-envy solution on symmetric domains of economies," Games and Economic Behavior, Elsevier, vol. 98(C), pages 165-171.
    12. Michele Lombardi & Foivos Savva & Nikolas Zivanas, 2023. "Implementation in strong core by codes of rights," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(3), pages 503-515, April.
    13. Ashlagi, Itai & Karagözoğlu, Emin & Klaus, Bettina, 2012. "A non-cooperative support for equal division in estate division problems," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 228-233.
    14. Ahmed Doghmi, 2013. "Nash Implementation in an Allocation Problem with Single-Dipped Preferences," Games, MDPI, vol. 4(1), pages 1-12, January.
    15. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    16. Hagiwara, Makoto, 2019. "Double implementation without no-veto-power," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 124-130.
    17. Yamamura, Hirofumi, 2016. "Coalitional stability in the location problem with single-dipped preferences: An application of the minimax theorem," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 48-57.

  11. Thomson, William & Yeh, Chun-Hsien, 2008. "Operators for the adjudication of conflicting claims," Journal of Economic Theory, Elsevier, vol. 143(1), pages 177-198, November.
    See citations under working paper version above.
  12. Hokari, Toru & Thomson, William, 2008. "On properties of division rules lifted by bilateral consistency," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1057-1071, December.
    See citations under working paper version above.
  13. Thomson, William, 2008. "The two-agent claims-truncated proportional rule has no consistent extension: A constructive proof," Economics Letters, Elsevier, vol. 98(1), pages 59-65, January.
    See citations under working paper version above.
  14. William Thomson, 2008. "Two families of rules for the adjudication of conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 667-692, December.
    See citations under working paper version above.
  15. William Thomson, 2007. "On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 225-251, November.
    See citations under working paper version above.
  16. William Thomson, 2007. "Children Crying at Birthday Parties. Why?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 501-521, June.
    See citations under working paper version above.
  17. Diego Dominguez & William Thomson, 2006. "A new solution to the problem of adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 283-307, June.
    See citations under working paper version above.
  18. Chun, Youngsub & Thomson, William, 2005. "Convergence under replication of rules to adjudicate conflicting claims," Games and Economic Behavior, Elsevier, vol. 50(2), pages 129-142, February.
    See citations under working paper version above.
  19. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    See citations under working paper version above.
  20. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.

    Cited by:

    1. Jaume García-Segarra & Miguel Ginés-Vilar, 2023. "Additive adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 93-116, March.
    2. Fragnelli, Vito & Gagliardo, Stefano, 2012. "Cooperative models for allocating an object," Economics Letters, Elsevier, vol. 117(1), pages 227-229.
    3. Peris, Josep E. & Jiménez-Gómez, José M., 2012. "Fair bounds based solidarity," QM&ET Working Papers 12-12, University of Alicante, D. Quantitative Methods and Economic Theory.
    4. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "On the Difficulty of Budget Allocation in Claims Problems with Indivisible Items and Prices," Group Decision and Negotiation, Springer, vol. 30(5), pages 1133-1159, October.
    5. Louis de Mesnard, 2019. "On the Convergence of the Generalized Ibn Ezra Value," Post-Print hal-01919401, HAL.
    6. Alex Krumer & Juan D. Moreno-Ternero, 2023. "The allocation of additional slots for the FIFA World Cup," Working Papers 23.05, Universidad Pablo de Olavide, Department of Economics.
    7. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.
    8. Trudeau, Christian, 2018. "From the bankruptcy problem and its Concede-and-Divide solution to the assignment problem and its Fair Division solution," Games and Economic Behavior, Elsevier, vol. 108(C), pages 225-238.
    9. Foroogh Salekpay, 2023. "The Allocation of Greenhouse Gas Emission in European Union through Applying the Claims Problems Approach," Games, MDPI, vol. 14(1), pages 1-11, January.
    10. Paulo Barelli & Youngsub Chun & John Duggan, 2017. "Introduction to the special issue in honor of William Thomson," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 1-4, January.
    11. Jens Hougaard & Juan Moreno-Ternero & Lars Østerdal, 2013. "Rationing with baselines: the composition extension operator," Annals of Operations Research, Springer, vol. 211(1), pages 179-191, December.
    12. Yuzhi Yang & Erik Ansink & Jens Gudmundsson, 2023. "How to Pollute a River If You Must," Tinbergen Institute Discussion Papers 23-036/VIII, Tinbergen Institute, revised 01 Jun 2024.
    13. Alcalde, Jose & Marco-Gil, María del Carmen & Silva, José A., 2010. "Merging and Going Bankrupt: A Neutral Solution," MPRA Paper 28339, University Library of Munich, Germany.
    14. José-Manuel Giménez-Gómez & Josep E. Peris, 2015. "Participation and Solidarity in Redistribution Mechanisms," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 036-048, October.
    15. Juan D. Moreno-Ternero, 2010. "Voting over piece-wise linear tax methods," Working Papers 10.02, Universidad Pablo de Olavide, Department of Economics.
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    283. Özgür Kıbrıs, 2012. "A revealed preference analysis of solutions to simple allocation problems," Theory and Decision, Springer, vol. 72(4), pages 509-523, April.
    284. William Thomson, 2014. "Compromising between the proportional and constrained equal awards rules," RCER Working Papers 584, University of Rochester - Center for Economic Research (RCER).
    285. Boonen, Tim J., 2019. "Equilibrium recoveries in insurance markets with limited liability," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 38-45.
    286. Luisa Carpente & Balbina Casas-Méndez & Javier Gozálvez & Natividad Llorca & Manuel Pulido & Joaquín Sánchez-Soriano, 2013. "How to divide a cake when people have different metabolism?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(3), pages 361-371, December.
    287. Kazuhiko Hashimoto & Yu Nakayama, 2016. "Strategy-Proofness on Bankruptcy Problems with an Indivisible Object," ISER Discussion Paper 0961, Institute of Social and Economic Research, Osaka University.
    288. Jingsheng Yu & Jun Zhang, 2020. "Efficient and fair trading algorithms in market design environments," Papers 2005.06878, arXiv.org, revised May 2021.
    289. Pedro Gadea-Blanco & José-Manuel Giménez-Gómez & M. Carmen Marco-Gil, 2016. "Compromising in bifocal distribution games: the average value," Theory and Decision, Springer, vol. 81(3), pages 449-465, September.
    290. Vito Fragnelli & Stefano Gagliardo & Fabio Gastaldi, 2014. "Integer solutions to bankruptcy problems with non-integer claims," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 892-933, October.
    291. Lipschütz Itay & Schwarz Mordechai E., 2020. "Fairness Vs. Economic Efficiency: Lessons from an Interdisciplinary Analysis of Talmudic Bankruptcy Law," Review of Law & Economics, De Gruyter, vol. 16(3), pages 1-38, November.
    292. Liang Yuan & Xia Wu & Weijun He & Yang Kong & Thomas Stephen Ramsey & Dagmawi Mulugeta Degefu, 2022. "A multi-weight fuzzy Methodological Framework for Allocating Coalition Payoffs of Joint Water Environment Governance in Transboundary River Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 3367-3384, July.
    293. Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
    294. Tommy Andersson & Lars Ehlers & Lars-Gunnar Svensson, 2012. "(Minimally) ?-Incentive Compatible Competitive Equilibria in Economies with Indivisibilities," Cahiers de recherche 04-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    295. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2013. "The axiomatic approach to the problem of sharing the revenue from bundled pricing," Working Papers 13.04, Universidad Pablo de Olavide, Department of Economics.
    296. Kristal K. Trejo & Ruben Juarez & Julio B. Clempner & Alexander S. Poznyak, 2023. "Non-Cooperative Bargaining with Unsophisticated Agents," Computational Economics, Springer;Society for Computational Economics, vol. 61(3), pages 937-974, March.
    297. Li, Jiawen & Ju, Yuan, 2023. "Divide and choose: An informationally robust strategic approach to bankruptcy problems," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    298. Groote Schaarsberg, M., 2014. "Interactive operational decision making : Purchasing situations & mutual liability problems," Other publications TiSEM d3446205-1799-43a4-85f6-5, Tilburg University, School of Economics and Management.
    299. Moulin, Hervé, 2016. "Entropy, desegregation, and proportional rationing," Journal of Economic Theory, Elsevier, vol. 162(C), pages 1-20.
    300. Giménez-Gómez, José-Manuel & Peris, Josep E., 2014. "A proportional approach to claims problems with a guaranteed minimum," European Journal of Operational Research, Elsevier, vol. 232(1), pages 109-116.
    301. José, Alcalde & Peris, Josep E., 2020. "Mixing Solutions in Claims Problems," QM&ET Working Papers 20-3, University of Alicante, D. Quantitative Methods and Economic Theory.
    302. Abizada, Azar & Chen, Siwei, 2016. "House allocation when availability of houses may change unexpectedly," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 29-37.
    303. William Thomson, 2015. "For claims problems, another compromise between the proportional and constrained equal awards rules," RCER Working Papers 592, University of Rochester - Center for Economic Research (RCER).
    304. Rodica Branzei & Marco Dall'Aglio & Stef H. Tijs, 2013. "On Bankruptcy Game Theoretic Interval Rules," Papers 1301.3096, arXiv.org.
    305. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.
    306. José M. Jiménez Gómez, 2010. "Noncooperative justifications for old bankruptcy rules," Working Papers. Serie AD 2010-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    307. Andrea Gallice, 2020. "Self-Serving Biased Reference Points in Bankruptcy Problems," Working papers 067, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    308. Fatemeh Babaei & Hamidreza Navidi & Stefano Moretti, 2022. "A bankruptcy approach to solve the fixed cost allocation problem in transport systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 332-358, July.
    309. Alcalde, José & Peris, Josep E., 2017. "Equal Awards versus Equal Losses in Bankruptcy Problems," QM&ET Working Papers 17-2, University of Alicante, D. Quantitative Methods and Economic Theory.
    310. José Alcalde & María Carmen Marco-Gil & José Silva-Reus, 2014. "The minimal overlap rule: restrictions on mergers for creditors’ consensus," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 363-383, April.
    311. Alexander W. Cappelen & Roland Iwan Luttens & Erik Ø. Sørensen & Bertil Tungodden, 2019. "Fairness in Bankruptcies: An Experimental Study," Management Science, INFORMS, vol. 67(6), pages 2832-2841, June.
    312. Boudreau, James W. & Knoblauch, Vicki, 2011. "Dividing profits three ways: Exactness vs. consensuality," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 79-86, September.
    313. Erik Ansink & Harold Houba, 2014. "The Economics of Transboundary River Management," Tinbergen Institute Discussion Papers 14-132/VIII, Tinbergen Institute.
    314. Palvolgyi, D.G. & Peters, H.J.M. & Vermeulen, A.J., 2010. "A strategic approach to estate division problems with non-homogenous preferences," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    315. Ephraim Zehavi & Amir Leshem, 2018. "On the Allocation of Multiple Divisible Assets to Players with Different Utilities," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 253-274, June.
    316. Cano-Berlanga, Sebastián & Giménez-Gómez, José-Manuel & Vilella, Cori, 2017. "Enjoying cooperative games: The R package GameTheory," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 381-393.
    317. Caprari, E. & Patrone, F. & Pusillo, L. & Tijs, S.H. & Torre, A., 2006. "Share Opportunity Sets and Cooperative Games," Discussion Paper 2006-115, Tilburg University, Center for Economic Research.
    318. Li, Wenzhong & Xu, Genjiu & van den Brink, René, 2024. "Sign properties and axiomatizations of the weighted division values," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    319. Guillaume Sekli, 2022. "A cooperative game approach to integrated healthcare," Working Papers 2022-06, CRESE.
    320. M. Hinojosa & E. Romero-Palacios & J. Zarzuelo, 2015. "Consistency of the Shapley NTU value in G-hyperplane games," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 259-278, December.
    321. Yoshio Kamijo & Koji Yokote, 2022. "Behavioral bargaining theory: Equality bias, risk attitude, and reference-dependent utility," Working Papers 2208, Waseda University, Faculty of Political Science and Economics.
    322. Miguel Hinojosa & Amparo Mármol, 2014. "Multi-commodity rationing problems with maxmin payoffs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(3), pages 353-370, June.
    323. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan & Jian Hua Zhao, 2016. "Water Allocation in Transboundary River Basins under Water Scarcity: a Cooperative Bargaining Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4451-4466, September.
    324. Alexander Karpov & Semyon Yurkov, 2012. "Generalized bankruptcy problem," HSE Working papers WP BRP 08/FE/2012, National Research University Higher School of Economics.
    325. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, France, revised 29 Oct 2015.
    326. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2020. "On the difficulty of budget allocation in claims problems with indivisible items of different prices," ThE Papers 20/09, Department of Economic Theory and Economic History of the University of Granada..
    327. Thomson, William, 2016. "A new characterization of the proportional rule for claims problems," Economics Letters, Elsevier, vol. 145(C), pages 255-257.
    328. Timoner, Pere & Izquierdo, Josep M., 2016. "Rationing problems with ex-ante conditions," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 46-52.
    329. Emilio Calvo, 2021. "Redistribution of tax resources: a cooperative game theory approach," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(4), pages 633-686, December.
    330. Txus Ortells & Juan Santos, 2011. "The pseudo-average rule: bankruptcy, cost allocation and bargaining," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 73(1), pages 55-73, February.
    331. Harless, Patrick, 2019. "Efficient rules for probabilistic assignment," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 107-116.
    332. Dietzenbacher, Bas, 2018. "Egalitarian allocation principles," Other publications TiSEM 01be3135-efa6-4f51-b2ef-0, Tilburg University, School of Economics and Management.
    333. Csóka, Péter, 2017. "Az arányos csődszabály karakterizációja körbetartozások esetén [The characterization of the proportional rule in the case of circular liabilities]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 930-942.
    334. Karl Jandoc & Ruben Juarez, 2017. "Self-enforcing coalitions with power accumulation," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 327-355, May.
    335. Dagmawi Mulugeta Degefu & Weijun He, 2016. "Allocating Water under Bankruptcy Scenario," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(11), pages 3949-3964, September.
    336. Rick K. Acosta & Encarnación Algaba & Joaquín Sánchez-Soriano, 2022. "Multi-issue bankruptcy problems with crossed claims," Annals of Operations Research, Springer, vol. 318(2), pages 749-772, November.
    337. José-Manuel Giménez-Gómez & Josep E. Peris & María-José Solís-Baltodano, 2023. "Resource allocations with guaranteed awards in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 581-602, September.
    338. Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.
    339. Osorio, Antonio, 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," MPRA Paper 56690, University Library of Munich, Germany.

  21. William Thomson, 2003. "On monotonicity in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 195-205, October.

    Cited by:

    1. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    2. Kazuhiko Hashimoto, 2018. "Strategy-proofness and identical preferences lower bound in allocation problem of indivisible objects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 1045-1078, June.
    3. Youngsub Chun, 2006. "No-envy in queueing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 151-162, September.
    4. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    5. Doğan, Battal, 2016. "Responsive affirmative action in school choice," Journal of Economic Theory, Elsevier, vol. 165(C), pages 69-105.
    6. Duygu Yengin, 2011. "Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds," School of Economics and Public Policy Working Papers 2011-34, University of Adelaide, School of Economics and Public Policy.
    7. Duygu Yengin, 2011. "Identical Preferences Lower Bound for Allocation of Heterogeneous Tasks and NIMBY Problems," School of Economics and Public Policy Working Papers 2011-27, University of Adelaide, School of Economics and Public Policy.
    8. Benedict Dellaert & Vladislav Golounov & Jaideep Prabhu, 2005. "The Impact of Price Disclosure on Dynamic Shopping Decisions," Marketing Letters, Springer, vol. 16(1), pages 37-52, January.

  22. Toru Hokari & William Thomson, 2003. "Claims problems and weighted generalizations of the Talmud rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 241-261, March.

    Cited by:

    1. Javier Arin & Juan Miguel Benito, 2012. "Lorenz and lexicographic maximal allocations for bankruptcy problems," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1202, Departamento de Economía - Universidad Pública de Navarra.
    2. Dietzenbacher, Bas & Tamura, Yuki & Thomson, William, 2023. "Partial-implementation invariance and claims problems," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
    3. Louis de Mesnard, 2015. "The three wives problem and Shapley value," Post-Print hal-01091714, HAL.
    4. Vito Fragnelli & Ewa Kiryluk-Dryjska, 2019. "Rationing methods for allocating the European Union’s rural development funds in Poland," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 36(1), pages 295-322, April.
    5. William Thomson & Chun-Hsien Yeh, 2006. "Operators for the adjudication of conflicting claims," RCER Working Papers 531, University of Rochester - Center for Economic Research (RCER).
    6. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    7. İpek Özkal-Sanver, 2013. "Minimal conversely consistent extension of the men-optimal solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 89-99, January.
    8. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2014. "Least manipulable Envy-free rules in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 43-49.
    9. Diego Dominguez & William Thomson, 2006. "A new solution to the problem of adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 283-307, June.
    10. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    11. Stovall, John E., 2020. "Equal sacrifice taxation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 55-75.
    12. Patrick Harless, 2017. "Endowment additivity and the weighted proportional rules for adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 755-781, March.
    13. Stovall, John, 2013. "Asymmetric Parametric Division Rules," The Warwick Economics Research Paper Series (TWERPS) 1012, University of Warwick, Department of Economics.
    14. Takayuki Oishi & Gerard van der Laan & René van den Brink, 2023. "Axiomatic analysis of liability problems with rooted-tree networks in tort law," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 229-258, January.
    15. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
    16. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "Rationing in the presence of baselines," Working Papers 12.04, Universidad Pablo de Olavide, Department of Economics.
    17. Juan D. Moreno-Ternero, 2017. "A Talmudic Approach to Bankruptcy Problems," Working Papers 17.01, Universidad Pablo de Olavide, Department of Economics.
    18. Sinan Ertemel & Rajnish Kumar, 2018. "Proportional rules for state contingent claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 229-246, March.
    19. Thomson, William, 2013. "A characterization of a family of rules for the adjudication of conflicting claims," Games and Economic Behavior, Elsevier, vol. 82(C), pages 157-168.
    20. Flores-Szwagrzak, Karol, 2015. "Priority classes and weighted constrained equal awards rules for the claims problem," Journal of Economic Theory, Elsevier, vol. 160(C), pages 36-55.
    21. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    22. Karol Flores-Szwagrzak & Jaume García-Segarra & Miguel Ginés-Vilar, 2020. "Priority and proportionality in bankruptcy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 559-579, April.
    23. De MESNARD, Louis, 2008. "On the Talmud division : equity and robustness," LEG - Document de travail - Economie 2008-07, LEG, Laboratoire d'Economie et de Gestion, CNRS, Université de Bourgogne.
    24. Yoichi Kasajima & Rodrigo Velez, 2011. "Reflecting inequality of claims in gains and losses," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 283-295, February.
    25. Hokari, Toru & Thomson, William, 2008. "On properties of division rules lifted by bilateral consistency," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1057-1071, December.
    26. José M. Jiménez Gómez & María del Carmen Marco, 2008. "A New Approach for Bounding Awards in Bankruptcy Problems," Working Papers. Serie AD 2008-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    27. ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2012. "(Minimally) 'epsilon'-Incentive Compatible Competitive Equilibria in Economies with Indivisibilities," Cahiers de recherche 2012-03, Universite de Montreal, Departement de sciences economiques.
    28. Stovall, John E., 2014. "Collective rationality and monotone path division rules," Journal of Economic Theory, Elsevier, vol. 154(C), pages 1-24.
    29. William Thomson, 2007. "Two families of rules for the adjudication of conflicting claims," RCER Working Papers 535, University of Rochester - Center for Economic Research (RCER).
    30. Juan Moreno-Ternero & Antonio Villar, 2006. "New characterizations of a classical bankruptcy rule," Review of Economic Design, Springer;Society for Economic Design, vol. 10(2), pages 73-84, August.
    31. Hojjat Mianabadi & Erik Mostert & Saket Pande & Nick van de Giesen, 2015. "Weighted Bankruptcy Rules and Transboundary Water Resources Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2303-2321, May.
    32. Thomson, William, 2008. "The two-agent claims-truncated proportional rule has no consistent extension: A constructive proof," Economics Letters, Elsevier, vol. 98(1), pages 59-65, January.
    33. Pere Timoner Lledó & Josep Maria Izquierdo Aznar, 2015. "Generalized rationing problems and solutions," UB School of Economics Working Papers 2015/329, University of Barcelona School of Economics.
    34. Casas-Méndez, Balbina & Fragnelli, Vito & García-Jurado, Ignacio, 2011. "Weighted bankruptcy rules and the museum pass problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 161-168, November.
    35. Tommy Andersson & Lars Ehlers & Lars-Gunnar Svensson, 2012. "(Minimally) ?-Incentive Compatible Competitive Equilibria in Economies with Indivisibilities," Cahiers de recherche 04-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    36. Endre Bjørndal & Kurt Jörnsten, 2010. "Flow sharing and bankruptcy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 11-28, March.
    37. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan & Jian Hua Zhao, 2016. "Water Allocation in Transboundary River Basins under Water Scarcity: a Cooperative Bargaining Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4451-4466, September.
    38. Timoner, Pere & Izquierdo, Josep M., 2016. "Rationing problems with ex-ante conditions," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 46-52.

  23. Chambers, Christopher P. & Thomson, William, 2002. "Group order preservation and the proportional rule for the adjudication of conflicting claims," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 235-252, December.

    Cited by:

    1. William Thomson, 2015. "For claims problems, compromising between the proportional and constrained equal awards rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 495-520, November.
    2. Karagozoglu, E., 2010. "A noncooperative approach to bankruptcy problems with an endogenous estate," Research Memorandum 027, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    3. Biung-Ghi Ju, 2004. "Coalitional Manipulation on Networks," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200410, University of Kansas, Department of Economics, revised Aug 2004.
    4. Dietzenbacher, Bas & Tamura, Yuki & Thomson, William, 2023. "Partial-implementation invariance and claims problems," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
    5. William Thomson & Chun-Hsien Yeh, 2006. "Operators for the adjudication of conflicting claims," RCER Working Papers 531, University of Rochester - Center for Economic Research (RCER).
    6. René VAN DEN BRINK & Juan D. MORENO-TERNERO, 2017. "The reverse TAL-family of rules for bankruptcy problems," LIDAM Reprints CORE 2873, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Biung-Ghi Ju & Eiichi Miyagawa & Toyotaka Sakai, 2003. "Non-Manipulable Division Rules in Claim Problems and Generalizations," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200307, University of Kansas, Department of Economics, revised Aug 2005.
    8. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    9. Patrick Harless, 2017. "Endowment additivity and the weighted proportional rules for adjudicating conflicting claims," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 755-781, March.
    10. JU, Biung-Ghi & MORENO-TERNERO, Juan D., 2006. "Progressivity, inequality reduction and merging-proofness in taxation," LIDAM Discussion Papers CORE 2006075, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Kasajima, Yoichi & Velez, Rodrigo A., 2010. "Non-proportional inequality preservation in gains and losses," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1079-1092, November.
    12. Kıbrıs, Özgür & Kıbrıs, Arzu, 2013. "On the investment implications of bankruptcy laws," Games and Economic Behavior, Elsevier, vol. 80(C), pages 85-99.
    13. Ricardo Martínez, 2020. "On how to divide a budget according to population and wealth," ThE Papers 20/10, Department of Economic Theory and Economic History of the University of Granada..
    14. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 43-62, February.
    15. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    16. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    17. Christopher P. Chambers & Juan D. Moreno-Ternero, 2015. "Taxation and Poverty," Working Papers 15.05, Universidad Pablo de Olavide, Department of Economics.
    18. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    19. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    20. Biung-Ghi Ju, 2004. "Coalitional Manipulation on Communication Network," Econometric Society 2004 Far Eastern Meetings 563, Econometric Society.
    21. William Thomson, 2014. "Compromising between the proportional and constrained equal awards rules," RCER Working Papers 584, University of Rochester - Center for Economic Research (RCER).
    22. William Thomson, 2015. "For claims problems, another compromise between the proportional and constrained equal awards rules," RCER Working Papers 592, University of Rochester - Center for Economic Research (RCER).

  24. William Thomson, 2001. "On the axiomatic method and its recent applications to game theory and resource allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(2), pages 327-386.

    Cited by:

    1. Roberto Veneziani & Luca Zamparelli & Simon Mohun & Roberto Veneziani, 2017. "Value, Price, And Exploitation: The Logic Of The Transformation Problem," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1387-1420, December.
    2. Vincent Martinet & Pedro Gajardo & Michel De Lara, 2019. "Bargaining with Intertemporal Maximin Payoffs," Working Papers 2019.02, FAERE - French Association of Environmental and Resource Economists.
    3. Juan D. Moreno-Ternero & Lars Peter Østerdal, 2017. "A normative foundation for equity-sensitive health evaluation: The role of relative comparisons of health gains," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(5), pages 1009-1025, October.
    4. Mehmet Karakaya & Bettina Klaus & Jan Christoph Schlegel, 2017. "Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants," Cahiers de Recherches Economiques du Département d'économie 17.12, Université de Lausanne, Faculté des HEC, Département d’économie.
    5. Ansink, Erik, 2011. "The Arctic scramble: Introducing claims in a contest model," European Journal of Political Economy, Elsevier, vol. 27(4), pages 693-707.
    6. Walter Bossert & Conchita D'Ambrosio, 2016. "Economic insecurity and variations in resources," Working Papers 422, ECINEQ, Society for the Study of Economic Inequality.
    7. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "A new axiomatic approach to the evaluation of population health," Working Papers 12.08, Universidad Pablo de Olavide, Department of Economics.
    8. Alessandro Gallo & Silvia Pacei, 2020. "Economic Insecurity in the Italian Macro-Regions," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 12(8), pages 1-65, August.
    9. Jobst Heitzig & Sarah Hiller, 2020. "Degrees of individual and groupwise backward and forward responsibility in extensive-form games with ambiguity, and their application to social choice problems," Papers 2007.07352, arXiv.org.
    10. Giménez Gómez, José M. (José Manuel) & Osório, António (António Miguel), 2014. "A Theory of Representative Behavior in the Dictator Game," Working Papers 2072/237595, Universitat Rovira i Virgili, Department of Economics.
    11. Sylvain Béal & Marc Deschamps & Philippe Solal, 2014. "Balanced collective contributions, the equal allocation of non-separable costs and application to data sharing games," Working Papers 2014-02, CRESE.
    12. Trockel, Walter, 2017. "Can and should the Nash Program be looked at as a part of mechanism theory," Center for Mathematical Economics Working Papers 322, Center for Mathematical Economics, Bielefeld University.
    13. Kumabe, Masahiro & Mihara, H. Reiju, 2006. "Computability of simple games: A complete investigation of the sixty-four possibilities," MPRA Paper 440, University Library of Munich, Germany.
    14. Sylvain Béal & Marc Deschamps, 2016. "On compensation schemes for data sharing within the European REACH legislation," Post-Print halshs-01111885, HAL.
    15. Veneziani, Roberto & Yoshihara, Naoki, 2014. "One million miles to go: taking the axiomatic road to defining exploitation," UMASS Amherst Economics Working Papers 2014-10, University of Massachusetts Amherst, Department of Economics.
    16. Ricardo Martínez & Juan D Moreno Ternero, 2021. "Pandemic performance," ThE Papers 21/09, Department of Economic Theory and Economic History of the University of Granada..
    17. Amandine Ghintran & Enrique Gonzalez-Aranguena & Conrado Manuel, 2011. "A probabilistic position value," Working Papers hal-00988137, HAL.
    18. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2023. "A Core-Partition Ranking Solution to Coalitional Ranking Problems," Post-Print hal-04114152, HAL.
    19. Biung-Ghi Ju, 2005. "A characterization of plurality-like rules based on non-manipulability, restricted efficiency, and anonymity," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 335-354, September.
    20. Vincent Martinet & Pedro Gajardo & Michel Lara, 2024. "Bargaining on monotonic social choice environments," Theory and Decision, Springer, vol. 96(2), pages 209-238, March.
    21. Moreno-Terneroy , Juan D & Østerdal, Lars Peter, 2015. "The implications of equal value of life and prioritarianism for the evaluation of population health," DaCHE discussion papers 2015:1, University of Southern Denmark, Dache - Danish Centre for Health Economics.
    22. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2015. "The axiomatic approach to the problem of sharing the revenue from museum passes," Games and Economic Behavior, Elsevier, vol. 89(C), pages 78-92.
    23. Marchant, T. & Mishra, D., 2018. "The characterization of affine maximizers on restricted domains with two alternatives," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1038-1043.
    24. Ricardo Martínez & Juan D Moreno Ternero, 2022. "An axiomatic approach towards pandemic performance indicators," ThE Papers 22/12, Department of Economic Theory and Economic History of the University of Granada..
    25. Barry O'Neill, 2014. "Networks of Rights in Conflict: A Talmudic Example," Discussion Paper Series dp677, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    26. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    27. Li, Chen & Wakker, Peter P., 2024. "A simple and general axiomatization of average utility maximization for infinite streams," Journal of Economic Theory, Elsevier, vol. 216(C).
    28. Osório, António (António Miguel), 2017. "Self-interest and Equity Concerns: A Behavioural Allocation Rule for Operational Problems," Working Papers 2072/290757, Universitat Rovira i Virgili, Department of Economics.
    29. Di Feng, 2023. "Endowments-swapping-proofness and Efficiency in Multiple-Type Housing Markets," Discussion Paper Series DP2023-14, Research Institute for Economics & Business Administration, Kobe University.
    30. Thierry Marchant, 2019. "Utilitarianism without individual utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 1-19, June.
    31. Trockel, Walter, 2017. "Integrating the Nash program into mechanism theory," Center for Mathematical Economics Working Papers 305, Center for Mathematical Economics, Bielefeld University.
    32. Mert Kimya, 2024. "Axiomatic Approach to Farsighted Coalition Formation," Working Papers 2024-03, University of Sydney, School of Economics.
    33. MORENO-TERNERO, Juan & OSTERDAL, Lars P., 2014. "Normative foundations for equity-sensitive population health evaluation functions," LIDAM Discussion Papers CORE 2014031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    34. Bergantiños, Gustavo & Martínez, Ricardo, 2014. "Cost allocation in asymmetric trees," European Journal of Operational Research, Elsevier, vol. 237(3), pages 975-987.
    35. Diego Dominguez, 2013. "Lower bounds and recursive methods for the problem of adjudicating conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 663-678, March.
    36. Ansink, Erik & Weikard, Hans-Peter, 2013. "Composition properties in the river claims problem," MPRA Paper 51618, University Library of Munich, Germany.
    37. Kampas, Athanasios & White, Ben, 2003. "Selecting permit allocation rules for agricultural pollution control: a bargaining solution," Ecological Economics, Elsevier, vol. 47(2-3), pages 135-147, December.
    38. Walter Bossert & Conchita D'Ambrosio, 2009. "Measuring Economic Insecurity," Working Papers 111, ECINEQ, Society for the Study of Economic Inequality.
    39. Marcus Berliant & Karl Dunz & William Thomson, 2000. "On the Fairness Literature: Comment," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 479-484, October.
    40. Denis Bouyssou & Thierry Marchant & Marc Pirlot, 2020. "A characterization of two disproportionality and malapportionment indices: the Duncan and Duncan index and the Lijphart index," Post-Print hal-02359762, HAL.
    41. Zoi Terzopoulou & Ulle Endriss, 2020. "Neutrality and relative acceptability in judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 25-49, June.
    42. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2020. "Sharing the Revenues from Broadcasting Sport Events," Management Science, INFORMS, vol. 66(6), pages 2417-2431, June.
    43. Birendra K. Rai1 & Chiu Ki So & Aaron Nicholas, 2011. "Mathematical Economics: A Reader," Monash Economics Working Papers 02-11, Monash University, Department of Economics.
    44. Kyle Greenberg & Parag A. Pathak & Tayfun Sönmez, 2024. "Redesigning the US Army's Branching Process: A Case Study in Minimalist Market Design," American Economic Review, American Economic Association, vol. 114(4), pages 1070-1106, April.
    45. Gildas Sédry Fopa & Issofa Moyouwou & Joseph Siani, 2022. "Axiomatization of the counting rule for cost-sharing with possibly redundant items," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(3), pages 567-587, April.
    46. Osório, António, 2017. "Self-interest and equity concerns: A behavioural allocation rule for operational problems," European Journal of Operational Research, Elsevier, vol. 261(1), pages 205-213.
    47. Karol Flores-Szwagrzak & Rafael Treibich, 2020. "Teamwork and Individual Productivity," Management Science, INFORMS, vol. 66(6), pages 2523-2544, June.
    48. Maurice Koster, 2012. "Consistent cost sharing," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(1), pages 1-28, February.
    49. Voorneveld, Mark, 2019. "An axiomatization of the Nash equilibrium concept," Games and Economic Behavior, Elsevier, vol. 117(C), pages 316-321.
    50. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2019. "On how to allocate the fixed cost of transport networks," ThE Papers 19/03, Department of Economic Theory and Economic History of the University of Granada..
    51. Biung-Ghi Ju, 2007. "Individual Powers and Social Consent: An Axiomatic Approach," Discussion Paper Series 0717, Institute of Economic Research, Korea University.
    52. Voorneveld, Mark, 2019. "An elementary axiomatization of the Nash equilibrium concept," SSE Working Paper Series in Economics 2019:1, Stockholm School of Economics.
    53. Bergantiños, Gustavo & González-Díaz, Julio & González-Rueda, Ángel M. & P. Fernández de Córdoba, María, 2017. "Loss allocation in energy transmission networks," Games and Economic Behavior, Elsevier, vol. 102(C), pages 69-97.
    54. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "On how to allocate the fixed cost of transport systems," Annals of Operations Research, Springer, vol. 301(1), pages 81-105, June.
    55. Tayfun Sonmez, 2023. "Minimalist Market Design: A Framework for Economists with Policy Aspirations," Papers 2401.00307, arXiv.org, revised Dec 2024.
    56. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2013. "The axiomatic approach to the problem of sharing the revenue from bundled pricing," Working Papers 13.04, Universidad Pablo de Olavide, Department of Economics.
    57. Daley, Brendan & Sadowski, Philipp, 2017. "Magical thinking: A representation result," Theoretical Economics, Econometric Society, vol. 12(2), May.
    58. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.
    59. Mathevet, Laurent, 2012. "A simple axiomatics of dynamic play in repeated games," MPRA Paper 36031, University Library of Munich, Germany.
    60. Diego Dominguez, 2007. "Lower bounds and recursive methods for the problem of adjudicating conflicting claims," Working Papers 0705, Centro de Investigacion Economica, ITAM.
    61. Erik Ansink & Harold Houba, 2014. "The Economics of Transboundary River Management," Tinbergen Institute Discussion Papers 14-132/VIII, Tinbergen Institute.
    62. Monsuur, Herman, 2005. "Characterizations of the 3-cycle count and backward length of a tournament," European Journal of Operational Research, Elsevier, vol. 164(3), pages 778-784, August.
    63. Koster, M., 2009. "Contracts, cost sharing and consistency," CeNDEF Working Papers 09-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    64. Carmen Herrero, 2000. "The Three Musketeers. Old Solutions to Bankruptcy Problems," Econometric Society World Congress 2000 Contributed Papers 0609, Econometric Society.

  25. William Thomson, 1999. "Monotonic extensions on economic domains," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 13-33.
    See citations under working paper version above.
  26. William Thomson, 1999. "The Young Person's Guide to Writing Economic Theory," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 157-183, March.

    Cited by:

    1. Avichai Snir & Daniel Levy, 2005. "Popular Perceptions and Political Economy in the Contrived World of Harry Potter," Working Papers 2005-05, Bar-Ilan University, Department of Economics.
    2. Gebhard Kirchgässner, 2011. "Wissenschaftlicher Fortschritt in den Wirtschaftswissenschaften: Einige Bemerkungen," CREMA Working Paper Series 2011-09, Center for Research in Economics, Management and the Arts (CREMA).
    3. Ananish Chaudhuri, 2010. "Reflections of a journal editor," New Zealand Economic Papers, Taylor & Francis Journals, vol. 44(3), pages 211-215.
    4. Sarah Jacobson, 2015. "How to Learn to Stop Worrying and Love the Job Market," Southern Economic Journal, John Wiley & Sons, vol. 81(3), pages 843-863, January.

  27. William Thomson, 1999. "Welfare-domination under preference-replacement: A survey and open questions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 373-394.

    Cited by:

    1. GORDON, Sidartha, 2006. "Solidarity in Choosing a Location on a Cycle," Cahiers de recherche 2006-06, Universite de Montreal, Departement de sciences economiques.
    2. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    3. William Thomson, 2014. "Non-bossiness," RCER Working Papers 586, University of Rochester - Center for Economic Research (RCER).
    4. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    5. MOULIN, Hervé & SPRUMONT, Yves, 2005. "Fair Allocation of Production Externalities: Recent Results," Cahiers de recherche 28-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    6. Ehlers, L., 2001. "Multiple Public Goods and Lexicographic Preferences Replacement Principle," Cahiers de recherche 2001-25, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    7. Lars Ehlers, 2022. "Three public goods and lexicographic preferences: replacement principle," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 367-384, September.
    8. Youngsub Chun & Inkee Jang & Biung-Ghi Ju, 2012. "Priority, Solidarity and Egalitarianism," Working Paper Series no86, Institute of Economic Research, Seoul National University.
    9. Masashi Umezawa, 2012. "The replacement principle for the provision of multiple public goods on tree networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 211-235, February.
    10. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    11. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    12. Moulin, Herve & Sprumont, Yves, 2003. "On Demand Responsiveness in Additive Cost Sharing," Working Papers 2003-10, Rice University, Department of Economics.
    13. Sidartha Gordon, 2015. "Unanimity in attribute-based preference domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 13-29, January.
    14. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
    15. Marcus Berliant & Karl Dunz & William Thomson, 2000. "On the Fairness Literature: Comment," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 479-484, October.
    16. Szwagrzak, Karol, 2014. "Strategy-proof market clearing mechanisms," Discussion Papers on Economics 4/2014, University of Southern Denmark, Department of Economics.
    17. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2016. "Immunity to Credible Deviations from the Truth," Working Papers 893, Barcelona School of Economics.
    18. Bandhu, Sarvesh & Lahiri, Abhinaba & Pramanik, Anup, 2020. "A characterization of status quo rules in the binary social choice model," Economics Letters, Elsevier, vol. 191(C).
    19. Eun Jeong Heo & Sunghoon Hong & Youngsub Chun, 2021. "Kidney exchange with immunosuppressants," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 1-19, July.
    20. Klaus Bettina, 2010. "The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division When Preferences Are Single-Peaked," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-14, April.
    21. Sidartha Gordon, 2014. "Unanimity in Attribute-Based Preference Domains," SciencePo Working papers Main hal-01061994, HAL.
    22. Harless, Patrick, 2015. "Solidarity with respect to small changes in preferences in public good economies with single-peaked preferences," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 81-86.
    23. GORDON, Sidartha, 2006. "Public Decisions: Solidarity and the Status Quo," Cahiers de recherche 16-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    24. Karol Flores-Szwagrzak, 2016. "The replacement principle in networked economies with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 763-789, December.
    25. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    26. Donald Campbell & Jerry Kelly, 2014. "Universally beneficial manipulation: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 329-355, August.
    27. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    28. Sidartha Gordon, 2014. "Unanimity in Attribute-Based Preference Domains," SciencePo Working papers hal-01061994, HAL.
    29. William Thomson, 2006. "Children crying at birthday parties. Why? Fairness and incentives for cake division problems," RCER Working Papers 526, University of Rochester - Center for Economic Research (RCER).
    30. Susumu Cato, 2018. "Choice functions and weak Nash axioms," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 159-176, December.
    31. Patrick Harless, 2015. "Reaching consensus: solidarity and strategic properties in binary social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 97-121, June.
    32. Dolors Berga & Bernardo Moreno & Antonio Nicolò, 2023. "Undominated rules with three alternatives in an almost unrestricted domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 65-74, January.
    33. Bettina Klaus, 2001. "Target Rules for Public Choice Economies on Tree Networks and in Euclidean Spaces," Theory and Decision, Springer, vol. 51(1), pages 13-29, August.

  28. William Thomson, 1997. "The replacement principle in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 57-66.
    See citations under working paper version above.
  29. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September.
    See citations under working paper version above.
  30. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.

    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2013. "The Division Problem under Constraints," Working Papers 745, Barcelona School of Economics.
    2. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    3. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    4. Ehlers, L., 2001. "Multiple Public Goods and Lexicographic Preferences Replacement Principle," Cahiers de recherche 2001-25, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    5. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    6. Carmen Herrero Blanco & Ricardo Martínez, 2006. "Allocation Problems With Indivisibilities When Preferences Are Single-Peaked," Working Papers. Serie AD 2006-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    7. Lars Ehlers, 2022. "Three public goods and lexicographic preferences: replacement principle," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 367-384, September.
    8. Youngsub Chun & Inkee Jang & Biung-Ghi Ju, 2012. "Priority, Solidarity and Egalitarianism," Working Paper Series no86, Institute of Economic Research, Seoul National University.
    9. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    10. Bochet, Olivier & Tumennasan, Norovsambuu, 2020. "Dominance of truthtelling and the lattice structure of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 185(C).
    11. Jordi MassóAuthor-Name: Alejandro Neme, "undated". "Maximal Domain Of Preferences In The Division Problem," UFAE and IAE Working Papers 434.99, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    12. Tadenuma, Koichi & 蓼沼, 宏一, 2010. "Partnership-Enhancement and Stability in Matching Problems," CCES Discussion Paper Series 30, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    13. Kim, Sunyoung & Bergantiños, Gustavo & Chun, Youngsub, 2015. "The separability principle in single-peaked economies with participation constraints," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 69-75.
    14. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    15. Karol Flores-Szwagrzak, 2017. "Efficient, fair, and strategy-proof (re)allocation under network constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 109-131, January.
    16. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2021. "Individually rational rules for the division problem when the number of units to be allotted is endogenous," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 376-401, April.
    17. Ruben Juarez & Jung S. You, 2019. "Optimality of the uniform rule under single-peaked preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 27-36, May.
    18. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2009. "A Characterization of the Uniform Rule with Several Commodities and Agents," ISER Discussion Paper 0769, Institute of Social and Economic Research, Osaka University.
    19. Abizada, Azar & Chen, Siwei, 2014. "A characterization of the uniform rule based on new robustness properties," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 80-85.
    20. Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
    21. Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona School of Economics.
    22. Szwagrzak, Karol, 2014. "Strategy-proof market clearing mechanisms," Discussion Papers on Economics 4/2014, University of Southern Denmark, Department of Economics.
    23. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    24. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with maximal capacity constraints," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 29-57, March.
    25. Bochet, Olivier & İlkılıç, Rahmi & Moulin, Hervé, 2013. "Egalitarianism under earmark constraints," Journal of Economic Theory, Elsevier, vol. 148(2), pages 535-562.
    26. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.
    27. Chun, Youngsub, 2003. "One-sided population monotonicity, separability, and the uniform rule," Economics Letters, Elsevier, vol. 78(3), pages 343-349, March.
    28. Klaus Bettina, 2010. "The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division When Preferences Are Single-Peaked," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-14, April.
    29. Kazuhiko Hashimoto & Takuma Wakayama, 2015. "Fair Reallocation in Economies with Single-Peaked Preferences," ISER Discussion Paper 0947, Institute of Social and Economic Research, Osaka University.
    30. Bettina Klaus, 2004. "A Note on the Separability Principle in Economies with Single-Peaked," UFAE and IAE Working Papers 601.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 14 Nov 2005.
    31. Karol Flores-Szwagrzak, 2016. "The replacement principle in networked economies with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 763-789, December.
    32. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    33. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    34. Özgür Kıbrıs, 2012. "A revealed preference analysis of solutions to simple allocation problems," Theory and Decision, Springer, vol. 72(4), pages 509-523, April.
    35. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
    36. Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
    37. Agustín Bonifacio, 2015. "Bribe-proof reallocation with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 617-638, March.
    38. Patrick Harless, 2015. "Reaching consensus: solidarity and strategic properties in binary social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 97-121, June.
    39. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    40. Erel Segal-Halevi & Balázs R. Sziklai, 2019. "Monotonicity and competitive equilibrium in cake-cutting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 363-401, September.
    41. Chun, Youngsub, 2000. "Distributional properties of the uniform rule in economies with single-peaked preferences," Economics Letters, Elsevier, vol. 67(1), pages 23-27, April.
    42. Balazs Sziklai & Erel Segal-Halevi, 2015. "Resource-monotonicity and Population-monotonicity in Cake-cutting," CERS-IE WORKING PAPERS 1552, Institute of Economics, Centre for Economic and Regional Studies.

  31. William Thomson, 1996. "Concepts Of Implementation," The Japanese Economic Review, Japanese Economic Association, vol. 47(2), pages 133-143, June.
    See citations under working paper version above.
  32. Tadenuma Koichi & Thomson William, 1995. "Games of Fair Division," Games and Economic Behavior, Elsevier, vol. 9(2), pages 191-204, May.

    Cited by:

    1. Rodrigo A. Velez, 2017. "Equitable rent division," Working Papers 20170818-001, Texas A&M University, Department of Economics.
    2. Sakai, Toyotaka, 2007. "Fairness and implementability in allocation of indivisible objects with monetary compensations," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 549-563, June.
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    7. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    8. Murat R. Sertel & Remzi Sanver, 2001. "Strong Equilibrium Outcomes of Voting Games are the Generalized Condorcet Winners," Working Papers 0107, Department of Economics, Bilkent University.
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    19. Tommy ANDERSSON & Lars EHLERS, 2013. "An Algorithm for Identifying Agent-k-Linked Allocations in Economies with Indivisibilities," Cahiers de recherche 17-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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    22. Shuhei Morimoto & Shigehiro Serizawa, 2012. "Strategy-proofness and Efficiency with Nonquasi-linear Preferences: A Characterization of Minimum Price Walrasian Rule," ISER Discussion Paper 0852, Institute of Social and Economic Research, Osaka University.
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    24. Tommy Andersson & Lars Ehlers, 2022. "An algorithm for identifying least manipulable envy‐free and budget‐balanced allocations in economies with indivisibilities," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 50-60, March.
    25. C. Gizem Korpeoglu, 2018. "Allocation of an indivisible object on the full preference domain: axiomatic characterizations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 41-53, April.
    26. Nicolò, Antonio & Velez, Rodrigo A., 2017. "Divide and compromise," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 100-110.
    27. Alexander L. Brown & Rodrigo A. Velez, 2014. "The costs and benefits of symmetry in common-ownership allocation problems," Working Papers 20140918-001, Texas A&M University, Department of Economics.
    28. Takashi Hayashi & Toyotaka Sakai, 2009. "Nash implementation of competitive equilibria in the job-matching market," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 453-467, November.
    29. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    30. Bochet, Olivier & Sakai, Toyotaka, 2007. "Strategic manipulations of multi-valued solutions in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 53-68, January.
    31. Fujinaka, Yuji & Wakayama, Takuma, 2015. "Maximal manipulation of envy-free solutions in economies with indivisible goods and money," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 165-185.
    32. Ando, Kazutoshi & Kato, Miki & Ohseto, Shinji, 2008. "Strategy-proof and symmetric allocation of an indivisible good," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 14-23, January.
    33. Yuji Fujinaka & Toyotaka Sakai, 2009. "The positive consequence of strategic manipulation in indivisible good allocation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 325-348, November.
    34. Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Other publications TiSEM cc8598f8-1be5-46d7-b91d-1, Tilburg University, School of Economics and Management.
    35. Lars-Gunnar Svensson, 2009. "Coalitional strategy-proofness and fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 227-245, August.
    36. Sinan Ertemel & Levent Kutlu & M. Remzi Sanver, 2015. "Voting games of resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 187-201, June.
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    43. Yamamura, Hirofumi, 2016. "Coalitional stability in the location problem with single-dipped preferences: An application of the minimax theorem," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 48-57.
    44. Toyotaka Sakai, 2008. "Second price auctions on general preference domains: two characterizations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 347-356, November.
    45. Velez, Rodrigo A., 2016. "Fairness and externalities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    46. Toyotaka Sakai, 2013. "Axiomatizations of second price auctions with a reserve price," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(3), pages 255-265, September.

  33. Thomson, William, 1995. "Population-Monotonic Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 229-246, March.
    See citations under working paper version above.
  34. Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.

    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2013. "The Division Problem under Constraints," Working Papers 745, Barcelona School of Economics.
    2. Bettina Klaus & Hans Peters & Ton Storcken, 1997. "Reallocation of an infinitely divisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 305-333.
    3. Lombardi, Michele & Yoshihara, Naoki, 2018. "Partially-Honest Nash Implementation: A Full Characterization," Discussion Paper Series 682, Institute of Economic Research, Hitotsubashi University.
    4. Antonio Nicolo' & Yan Yu, 2006. "Strategic Divide and Choose," "Marco Fanno" Working Papers 0022, Dipartimento di Scienze Economiche "Marco Fanno".
    5. Javier Perote Peña & Juan Perote Peña, 2003. "A Social Choice Trade-off Between Alternative Fairness Concepts: Solidarity versus Flexibility," Economic Working Papers at Centro de Estudios Andaluces E2003/10, Centro de Estudios Andaluces.
    6. EHLERS, Lars, 2001. "On Fixed-Path Rationing Methods," Cahiers de recherche 2001-24, Universite de Montreal, Departement de sciences economiques.
    7. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    8. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    9. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    10. Moulin, Herve, 1999. "Rationing a Commodity along Fixed Paths," Journal of Economic Theory, Elsevier, vol. 84(1), pages 41-72, January.
    11. İpek Özkal-Sanver, 2013. "Minimal conversely consistent extension of the men-optimal solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 89-99, January.
    12. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    13. Nir Dagan, 1995. "Consistent Solutions in Exchange Economies: a Characterization of the Price Mechanism," Economic theory and game theory 011, Nir Dagan.
    14. Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
    15. Carmen Herrero Blanco & Ricardo Martínez, 2006. "Allocation Problems With Indivisibilities When Preferences Are Single-Peaked," Working Papers. Serie AD 2006-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    16. Agustín G. Bonifacio, 2024. "Variable population manipulations of reallocation rules in economies with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 62(2), pages 345-365, March.
    17. Bergantiños, Gustavo & Massó, Jordi & Neme, Alejandro, 2019. "On Societies Choosing Social Outcomes, and their Memberships: Internal Stability and Consistency," MPRA Paper 91714, University Library of Munich, Germany.
    18. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    19. Kesten, Onur, 2006. "More on the uniform rule: Characterizations without Pareto optimality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 192-200, March.
    20. Abizada, Azar & Bó, Inácio, 2021. "Hiring from a pool of workers," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 576-591.
    21. Özgür Kýbrýs & Serkan Küçükþenel, 2005. "Trade rules for uncleared markets," Microeconomics 0508002, University Library of Munich, Germany.
    22. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
    23. Fumiya Inoue & Hirofumi Yamamura, 2023. "Binary mechanism for the allocation problem with single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(4), pages 647-669, May.
    24. Bochet, Olivier & Tumennasan, Norovsambuu, 2020. "Dominance of truthtelling and the lattice structure of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 185(C).
    25. Jordi MassóAuthor-Name: Alejandro Neme, "undated". "Maximal Domain Of Preferences In The Division Problem," UFAE and IAE Working Papers 434.99, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    26. Kim, Sunyoung & Bergantiños, Gustavo & Chun, Youngsub, 2015. "The separability principle in single-peaked economies with participation constraints," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 69-75.
    27. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    28. Karol Flores-Szwagrzak, 2017. "Efficient, fair, and strategy-proof (re)allocation under network constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 109-131, January.
    29. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
    30. Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 57-67.
    31. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2021. "Individually rational rules for the division problem when the number of units to be allotted is endogenous," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 376-401, April.
    32. Herrero, Carmen & Villar, Antonio, 2000. "An alternative characterization of the equal-distance rule for allocation problems with single-peaked preferences," Economics Letters, Elsevier, vol. 66(3), pages 311-317, March.
    33. Ruben Juarez & Jung S. You, 2019. "Optimality of the uniform rule under single-peaked preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 27-36, May.
    34. Gong, Doudou & Dietzenbacher, Bas, 2024. "Equal treatment of unsatisfied agents," Research Memorandum 010, Maastricht University, Graduate School of Business and Economics (GSBE).
    35. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2009. "A Characterization of the Uniform Rule with Several Commodities and Agents," ISER Discussion Paper 0769, Institute of Social and Economic Research, Osaka University.
    36. Abizada, Azar & Chen, Siwei, 2014. "A characterization of the uniform rule based on new robustness properties," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 80-85.
    37. Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
    38. Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona School of Economics.
    39. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    40. Klaus, Bettina & Peters, Hans & Storcken, Ton, 1997. "Strategy-proof division of a private good when preferences are single-dipped," Economics Letters, Elsevier, vol. 55(3), pages 339-346, September.
    41. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with maximal capacity constraints," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 29-57, March.
    42. Bochet, Olivier & İlkılıç, Rahmi & Moulin, Hervé, 2013. "Egalitarianism under earmark constraints," Journal of Economic Theory, Elsevier, vol. 148(2), pages 535-562.
    43. Bochet, Olivier & Sakai, Toyotaka, 2010. "Secure implementation in allotment economies," Games and Economic Behavior, Elsevier, vol. 68(1), pages 35-49, January.
    44. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.
    45. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    46. Chun, Youngsub, 2003. "One-sided population monotonicity, separability, and the uniform rule," Economics Letters, Elsevier, vol. 78(3), pages 343-349, March.
    47. Amoros, Pablo, 1999. "Efficiency and income redistribution in the single-peaked preferences model with several commodities," Economics Letters, Elsevier, vol. 63(3), pages 341-349, June.
    48. Adachi, Tsuyoshi, 2010. "The uniform rule with several commodities: A generalization of Sprumont's characterization," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 952-964, November.
    49. Schummer, J. & Thomson, W., 1996. "Two Derivations of the Uniform Rule and an Application to Bankruptcy," RCER Working Papers 423, University of Rochester - Center for Economic Research (RCER).
    50. Yuji Fujinaka & Toyotaka Sakai, 2009. "The positive consequence of strategic manipulation in indivisible good allocation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 325-348, November.
    51. Klaus Bettina, 2010. "The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division When Preferences Are Single-Peaked," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-14, April.
    52. Lars Ehlers, 2011. "A characterization of the uniform rule without Pareto-optimality," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 447-452, December.
    53. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    54. Kazuhiko Hashimoto & Takuma Wakayama, 2015. "Fair Reallocation in Economies with Single-Peaked Preferences," ISER Discussion Paper 0947, Institute of Social and Economic Research, Osaka University.
    55. R. Pablo Arribillaga & Jordi Massó & Alejandro Neme, 2019. "All Sequential Allotment Rules Are Obviously Strategy-proof," UFAE and IAE Working Papers 966.19, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    56. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan.
    57. Karol Flores-Szwagrzak, 2016. "The replacement principle in networked economies with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 763-789, December.
    58. Moreno, Bernardo, 2002. "Single-peaked preferences, endowments and population-monotonicity," Economics Letters, Elsevier, vol. 75(1), pages 87-95, March.
    59. Ruben Juarez & Kohei Nitta & Miguel Vargas, 2020. "Profit-sharing and efficient time allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 817-846, October.
    60. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    61. Klaus, B.E. & Storcken, A.J.A. & Peters, H.J.M., 1995. "Strategy-proof division with single-peaked preferences and initial endowments," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    62. Anirban Kar & Özgür Kıbrıs, 2008. "Allocating multiple estates among agents with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 641-666, December.
    63. Toyotaka Sakai & Takuma Wakayama, 2008. "Uniform, Equal Division, and Other Envy-free Rules between the Two," ISER Discussion Paper 0723, Institute of Social and Economic Research, Osaka University.
    64. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics.
    65. Özgür Kıbrıs & Serkan Küçükşenel, 2009. "Uniform trade rules for uncleared markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 101-121, January.
    66. Abizada, Azar & Chen, Siwei, 2016. "House allocation when availability of houses may change unexpectedly," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 29-37.
    67. Roy, Souvik & Sadhukhan, Soumyarup, 2020. "On the structure of division rules," MPRA Paper 104402, University Library of Munich, Germany.
    68. Josep Maria Izquierdo & Carlos Rafels, 2017. "The incentive core in co-investment problems," UB School of Economics Working Papers 2017/369, University of Barcelona School of Economics.
    69. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    70. Chun, Youngsub, 2000. "Distributional properties of the uniform rule in economies with single-peaked preferences," Economics Letters, Elsevier, vol. 67(1), pages 23-27, April.
    71. Nizamogullari, Duygu & Özkal-Sanver, İpek, 2014. "Characterization of the core in full domain marriage problems," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 34-42.

  35. Thomson, William, 1994. "Consistent extensions," Mathematical Social Sciences, Elsevier, vol. 28(1), pages 35-49, August.
    See citations under working paper version above.
  36. Thomson, William & Zhou, Lin, 1993. "Consistent Solutions in Atomless Economies," Econometrica, Econometric Society, vol. 61(3), pages 575-587, May.

    Cited by:

    1. Chiara Donnini & Maria Laura Pesce, 2021. "Fairness and Formation Rules of Coalitions," CSEF Working Papers 624, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 24 May 2023.
    2. Nir Dagan, 1996. "Consistency and the Walrasian Allocations Correspondence," Economic theory and game theory 012, Nir Dagan.
    3. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Other publications TiSEM bde29dd4-b328-48b4-8fb4-6, Tilburg University, School of Economics and Management.
    4. Nir Dagan, 1995. "Consistent Solutions in Exchange Economies: a Characterization of the Price Mechanism," Economic theory and game theory 011, Nir Dagan.
    5. Stefan Ambec, 2008. "Sharing a resource with concave benefits," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 1-13, June.
    6. Konovalov, A., 1998. "Core Equivalence in Economies With Satiation," Discussion Paper 1998-80, Tilburg University, Center for Economic Research.
    7. Christopher P. Chambers & Takashi Hayashi, 2017. "Resource allocation with partial responsibilities for initial endowments," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(4), pages 355-368, December.
    8. Volij, Oscar & Serrano, Roberto, 1998. "Axiomatizations of Neoclassical Concepts for Economies," Staff General Research Papers Archive 5192, Iowa State University, Department of Economics.
    9. Klaus, Bettina & Klijn, Flip, 2013. "Local and global consistency properties for student placement," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 222-229.
    10. Eun Jeong Heo, 2019. "Preference profiles for efficiency, fairness, and consistency in school choice problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 243-266, March.
    11. Chiara Donnini & Marialaura Pesce, 2021. "Fairness and fuzzy coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1033-1052, December.
    12. Pycia, Marek & Miralles, Antonio, 2020. "Foundations of Pseudomarkets: Walrasian Equilibria for Discrete Resources," CEPR Discussion Papers 15161, C.E.P.R. Discussion Papers.
    13. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.
    14. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    15. Justin Leroux, 2006. "A discussion of the consistency axiom in cost-allocation problems," Cahiers de recherche 06-13, HEC Montréal, Institut d'économie appliquée.
    16. Chiara Donnini & Armando Sacco, 2024. "Social equity in international environmental agreements," Journal of Global Optimization, Springer, vol. 90(1), pages 261-291, September.
    17. Cato, Susumu, 2010. "Local strict envy-freeness in large economies," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 319-322, May.

  37. Thomson, William, 1993. "The replacement principle in public good economies with single-peaked preferences," Economics Letters, Elsevier, vol. 42(1), pages 31-36.
    See citations under working paper version above.
  38. Tadenuma, Koichi & Thomson, William, 1993. "The fair allocation of an indivisible good when monetary compensations are possible," Mathematical Social Sciences, Elsevier, vol. 25(2), pages 117-132, February.

    Cited by:

    1. Sakai, Toyotaka, 2007. "Fairness and implementability in allocation of indivisible objects with monetary compensations," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 549-563, June.
    2. Matt Van Essen, 2013. "An Equilibrium Analysis of Knaster’s Fair Division Procedure," Games, MDPI, vol. 4(1), pages 1-17, January.
    3. Jerry Green, 2005. "Compensatory transfers in two-player decision problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 159-180, June.
    4. Andersson, Tommy & Svensson, Lars-Gunnar & Ehlers, Lars, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Working Papers 2010:16, Lund University, Department of Economics, revised 15 Jan 2013.
    5. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    6. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    7. Maniquet, F., 2000. "A Characterization of the Shapley Value in Queueing Problems," Papers 222, Notre-Dame de la Paix, Sciences Economiques et Sociales.
    8. Goko, Hiromichi & Igarashi, Ayumi & Kawase, Yasushi & Makino, Kazuhisa & Sumita, Hanna & Tamura, Akihisa & Yokoi, Yu & Yokoo, Makoto, 2024. "A fair and truthful mechanism with limited subsidy," Games and Economic Behavior, Elsevier, vol. 144(C), pages 49-70.
    9. Johannes Brustle & Jack Dippel & Vishnu V. Narayan & Mashbat Suzuki & Adrian Vetta, 2019. "One Dollar Each Eliminates Envy," Papers 1912.02797, arXiv.org.
    10. Duygu Yengin, 2011. "Axiomatizing Political Philosophy of Distributive Justice: Equivalence of No-envy and Egalitarian-equivalence with Welfare-egalitarianism," School of Economics and Public Policy Working Papers 2011-19, University of Adelaide, School of Economics and Public Policy.
    11. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    12. Tommy ANDERSSON & Lars EHLERS, 2013. "An Algorithm for Identifying Agent-k-Linked Allocations in Economies with Indivisibilities," Cahiers de recherche 17-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    13. Enriqueta Aragones, 1992. "A Solution to the Envy-Free Selection Problem in Economies with Indivisible Goods," Discussion Papers 984, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    15. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
    16. Tommy Andersson & Lars Ehlers, 2022. "An algorithm for identifying least manipulable envy‐free and budget‐balanced allocations in economies with indivisibilities," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 50-60, March.
    17. C. Gizem Korpeoglu, 2018. "Allocation of an indivisible object on the full preference domain: axiomatic characterizations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 41-53, April.
    18. Bevia, Carmen, 1996. "Population monotonicity in economies with one indivisible good," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 125-137, October.
    19. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    20. Bochet, Olivier & Sakai, Toyotaka, 2007. "Strategic manipulations of multi-valued solutions in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 53-68, January.
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    24. Bossert, Walter, 1998. "Welfarism and rationalizability in allocation problems with indivisibilities1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 133-150, March.
    25. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    26. Anna Bogomolnaia & Herv'e Moulin, 2024. "Guaranteed shares of benefits and costs," Papers 2406.14198, arXiv.org, revised Nov 2024.
    27. Toyotaka Sakai, 2013. "An equity characterization of second price auctions when preferences may not be quasilinear," Review of Economic Design, Springer;Society for Economic Design, vol. 17(1), pages 17-26, March.
    28. Conan Mukherjee, 2014. "Fair and group strategy-proof good allocation with money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 289-311, February.
    29. Anna Bogomolnaia & Herve Moulin, 2022. "Fair Division with Money and Prices," Papers 2202.08117, arXiv.org.
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    32. Yengin, Duygu, 2013. "Population monotonic and strategy-proof mechanisms respecting welfare lower bounds," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 389-397.
    33. Toyotaka Sakai, 2008. "Second price auctions on general preference domains: two characterizations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 347-356, November.
    34. Carmen Bevia, 1996. "Identical preferences lower bound solution and consistency in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 113-126, January.
    35. Bevia, Carmen, 1996. "Population monotonicity in a general model with indivisible goods," Economics Letters, Elsevier, vol. 50(1), pages 91-97, January.

  39. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-1186, September.

    Cited by:

    1. Imai, Haruo & Salonen, Hannu, 2000. "The representative Nash solution for two-sided bargaining problems," Mathematical Social Sciences, Elsevier, vol. 39(3), pages 349-365, May.
    2. Volij, Oscar & Winter, Eyal, 2002. "On Risk Aversion and Bargaining Outcomes," Staff General Research Papers Archive 10130, Iowa State University, Department of Economics.
    3. Jonathan Shalev, 2002. "Loss Aversion and Bargaining," Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
    4. Jean-Paul Chavas & Eleonora Matteazzi & Martina Menon & Federico Perali, 2021. "Bargaining in the Family," CHILD Working Papers Series 88 JEL Classification: D1, Centre for Household, Income, Labour and Demographic Economics (CHILD) - CCA.
    5. Ching-jen Sun, 2018. "The bargaining correspondence: when Edgeworth meets Nash," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 337-359, August.
    6. Carmen Herrero, 1997. "Endogenous reference points and the adjusted proportional solution for bargaining problems with claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 113-119.
    7. Samuel Huber & Jaehong Kim, 2015. "The role of trading frictions in financial markets," ECON - Working Papers 211, Department of Economics - University of Zurich, revised Jul 2017.
    8. Özgür Kıbrıs & Murat Sertel, 2007. "Bargaining over a finite set of alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 421-437, April.
    9. Stambaugh, Todd, 2017. "Coincidence of two solutions to Nash’s bargaining problem," Economics Letters, Elsevier, vol. 157(C), pages 148-151.
    10. Serrano, Roberto & Shimomura, Ken-Ichi, 1998. "Beyond Nash Bargaining Theory: The Nash Set," Journal of Economic Theory, Elsevier, vol. 83(2), pages 286-307, December.
    11. Arab Momeni, Mojtaba & Bagheri, Mehdi, 2022. "Shared warehouse as an inter-supply chain cooperation strategy to reduce the time-dependent deterioration costs," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    12. Eran Hanany & D. Marc Kilgour & Yigal Gerchak, 2007. "Final-Offer Arbitration and Risk Aversion in Bargaining," Management Science, INFORMS, vol. 53(11), pages 1785-1792, November.
    13. Oscar Volij, 2002. "A Remark on Bargaining and Non-Expected Utility," Economic theory and game theory 016, Oscar Volij.
    14. Hanany, Eran, 2008. "The ordinal Nash social welfare function," Journal of Mathematical Economics, Elsevier, vol. 44(5-6), pages 405-422, April.
    15. Driesen, Bram & Lombardi, Michele & Peters, Hans, 2016. "Feasible sets, comparative risk aversion, and comparative uncertainty aversion in bargaining," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 162-170.
    16. Craig Webb, 2010. "Agreeing to spin the subjective roulette wheel: Bargaining with subjective mixtures," Economics Discussion Paper Series 1005, Economics, The University of Manchester.
    17. Elisabeth Gugl & Justin Leroux, 2009. "Share the Gain, Share the Pain? Almost Transferable Utility, Changes in Production Possibilities and Bargaining Solutions," Department Discussion Papers 0903, Department of Economics, University of Victoria.
    18. Craig Webb, 2013. "Bargaining with subjective mixtures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 15-39, January.
    19. Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    20. Tatur, Tymon, 2024. "On bargaining norms as solutions to cost-minimization problems," Theoretical Economics, Econometric Society, vol. 19(4), November.
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    22. Geoffroy de Clippel, 2009. "Axiomatic Bargaining on Economic Enviornments with Lott," Working Papers 2009-5, Brown University, Department of Economics.
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    24. Michail Anthropelos & Tim J. Boonen, 2019. "Nash Equilibria in Optimal Reinsurance Bargaining," Papers 1909.01739, arXiv.org, revised Mar 2020.
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    26. Heyes, Anthony & Rickman, Neil & Tzavara, Dionisia, 2004. "Legal expenses insurance, risk aversion and litigation," International Review of Law and Economics, Elsevier, vol. 24(1), pages 107-119, March.
    27. Jean-Paul Chavas & Jay Coggins, 2003. "On fairness and welfare analysis under uncertainty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 203-228, March.
    28. Vincent Martinet & Pedro Gajardo & Michel Lara, 2024. "Bargaining on monotonic social choice environments," Theory and Decision, Springer, vol. 96(2), pages 209-238, March.
    29. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The time-preference Nash solution," Economic theory and game theory 019, Nir Dagan.
    30. Pierre-André Chiappori & Olivier Donni, 2006. "Learning from a Piece of Pie: the Empirical Content of Nash Bargaining," Cahiers de recherche 0619, CIRPEE.
    31. Hanany, Eran & Safra, Zvi, 2000. "Existence and Uniqueness of Ordinal Nash Outcomes," Journal of Economic Theory, Elsevier, vol. 90(2), pages 254-276, February.
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    34. Federico Valenciano & Annick Laruelle, 2004. "Bargaining, Voting, And Value," Working Papers. Serie AD 2004-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    35. Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.
    36. Lorenzo Bastianello & Marco LiCalzi, 2015. "Target-based solutions for Nash bargaining," Working Papers 5, Venice School of Management - Department of Management, Università Ca' Foscari Venezia.
    37. Chambers, Christopher P. & Echenique, Federico, 2012. "When does aggregation reduce risk aversion?," Games and Economic Behavior, Elsevier, vol. 76(2), pages 582-595.
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    39. Meng, Jingyi & Webb, Craig S. & Zank, Horst, 2024. "Mixture independence foundations for expected utility," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    40. Matthew Gould & Matthew D. Rablen, 2024. "Are World Leaders Loss Averse?," Working Papers 2024011, The University of Sheffield, Department of Economics.
    41. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
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    43. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Bargaining and Boldness," Games and Economic Behavior, Elsevier, vol. 38(1), pages 28-51, January.
    44. Kobberling, Veronika & Peters, Hans, 2003. "The effect of decision weights in bargaining problems," Journal of Economic Theory, Elsevier, vol. 110(1), pages 154-175, May.
    45. Emin Karagözoğlu & Shiran Rachmilevitch, 2018. "Implementing egalitarianism in a class of Nash demand games," Theory and Decision, Springer, vol. 85(3), pages 495-508, October.
    46. Shiran Rachmilevitch, 2022. "Reasonable Nash demand games," Theory and Decision, Springer, vol. 93(2), pages 319-330, September.
    47. Jean-Paul Chavas & Eleonora Matteazzi & Martina Menon & Federico Perali, 2022. "(In)Efficient Bargaining in the Family," Working Papers 2, SITES.
    48. Valenciano, Federico & Zarzuelo, Jose M., 1997. "On Nash's Hidden Assumption," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 266-281, October.
    49. Eran Hanany, 2001. "Ordinal Nash Social Welfare Function," Discussion Papers 1325, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    50. Saglam, Ismail, 2012. "Endogenously Proportional Bargaining Solutions," MPRA Paper 42386, University Library of Munich, Germany.
    51. Douven, R.C.M.H. & Engwerda, J.C., 1995. "Properties of N-person axiomatic bargaining solutions if the Pareto frontier is twice differentiable and strictly concave," Other publications TiSEM ef77e675-1d26-4a70-abff-8, Tilburg University, School of Economics and Management.
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    54. Kristoffer Berg & Paolo Giovanni Piacquadio, 2020. "The Equal-Sacrifice Social Welfare Function with an Application to Optimal Income Taxation," CESifo Working Paper Series 8505, CESifo.
    55. Anbarci, Nejat & Sun, Ching-jen, 2013. "Asymmetric Nash bargaining solutions: A simple Nash program," Economics Letters, Elsevier, vol. 120(2), pages 211-214.
    56. Nicolo, Antonio & Perea, Andres, 2005. "Monotonicity and equal-opportunity equivalence in bargaining," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 221-243, March.
    57. Du, Shaofu & Zhu, Lili & Liang, Liang & Ma, Fang, 2013. "Emission-dependent supply chain and environment-policy-making in the ‘cap-and-trade’ system," Energy Policy, Elsevier, vol. 57(C), pages 61-67.
    58. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
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    60. Daniel R. Burghart, 2020. "The two faces of independence: betweenness and homotheticity," Theory and Decision, Springer, vol. 88(4), pages 567-593, May.
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    76. Edi Karni & Zvi Safra, 2003. "Moral Sentiments and Social Choice: Fairness Considerations in University Admissions," Economics Working Paper Archive 492, The Johns Hopkins University,Department of Economics.
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  40. Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 19-33, August.
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    Cited by:

    1. Antonio Nicolo' & Yan Yu, 2006. "Strategic Divide and Choose," "Marco Fanno" Working Papers 0022, Dipartimento di Scienze Economiche "Marco Fanno".
    2. Marco LiCalzi & Antonio Nicolo, 2007. "Efficient Egalitarian Equivalent Allocations over a Single Good," Working Papers 152, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    3. Erel Segal-Halevi & Shmuel Nitzan, 2014. "Cake Cutting – Fair and Square," Working Papers 2014-01, Bar-Ilan University, Department of Economics.
    4. Ichiishi, Tatsuro & Idzik, Adam, 1999. "Equitable allocation of divisible goods," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 389-400, December.
    5. Atlamaz, Murat & Berden, Caroline & Peters, Hans & Vermeulen, Dries, 2011. "Non-cooperative solutions for estate division problems," Games and Economic Behavior, Elsevier, vol. 73(1), pages 39-51, September.
    6. Fabio Maccheroni & Fabio Maccheroni & Massimo Marinacci & Massimo Marinacci, 2003. "How to cut a pizza fairly: Fair division with decreasing marginal evaluations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 457-465, June.
    7. Husseinov, Farhad, 2011. "A theory of a heterogeneous divisible commodity exchange economy," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 54-59, January.
    8. Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Discussion Paper 2008-101, Tilburg University, Center for Economic Research.
    9. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    10. Randall G. Holcombe, 2000. "Absence of Envy Does Not Imply Fairness: Reply," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 485-487, October.
    11. Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.
    12. Erel Segal-Halevi & Shmuel Nitzan & Avinatan Hassidim & Yonatan Aumann, 2020. "Envy-Free Division of Land," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 896-922, August.
    13. Chambers, Christopher P., 2005. "Allocation rules for land division," Journal of Economic Theory, Elsevier, vol. 121(2), pages 236-258, April.
    14. Anna Bogomolnaia & Hervé Moulin, 2023. "Guarantees in Fair Division: General or Monotone Preferences," Mathematics of Operations Research, INFORMS, vol. 48(1), pages 160-176, February.
    15. Pálvölgyi, Dénes & Peters, Hans & Vermeulen, Dries, 2014. "A strategic approach to multiple estate division problems," Games and Economic Behavior, Elsevier, vol. 88(C), pages 135-152.
    16. Marco Dall'Aglio & Fabio Maccheroni, 2007. "Disputed Lands," Carlo Alberto Notebooks 58, Collegio Carlo Alberto.
    17. Berliant, M.C. & Dunz, K., 1991. "A Foundation of Location Theory : Exstence of Equilibrium, the Welfare Theorems and Core," RCER Working Papers 298, University of Rochester - Center for Economic Research (RCER).
    18. Marcus Berliant & Karl Dunz & William Thomson, 2000. "On the Fairness Literature: Comment," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 479-484, October.
    19. SEGAL-HALEVI, Erel & NITZAN, Shmuel, 2018. "Fair Cake-Cutting among Families," Discussion paper series HIAS-E-79, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    20. Jonathan Scarlett & Nicholas Teh & Yair Zick, 2023. "For One and All: Individual and Group Fairness in the Allocation of Indivisible Goods," Papers 2302.06958, arXiv.org.
    21. Uriel Feige & Yehonatan Tahan, 2022. "On allocations that give intersecting groups their fair share," Papers 2204.06820, arXiv.org.
    22. Peters, H.J.M. & Schröder, M.J.W. & Vermeulen, A.J., 2013. "Claim games for estate division problems," Research Memorandum 055, Maastricht University, Graduate School of Business and Economics (GSBE).
    23. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    24. Marco Dall’Aglio & Rodica Branzei & Stef Tijs, 2009. "Cooperation in dividing the cake," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 417-432, December.
    25. Farhad Hüsseinov & Nobusumi Sagara, 2013. "Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 923-940, October.
    26. Sherstyuk, Katerina, 1998. "How to Gerrymander: A Formal Analysis," Public Choice, Springer, vol. 95(1-2), pages 27-49, April.
    27. Ji-Won Park & Jaeup U. Kim & Cheol-Min Ghim & Chae Un Kim, 2021. "The Boltzmann fair division for distributive justice," Papers 2109.11917, arXiv.org, revised Nov 2021.
    28. Doğan, Battal, 2016. "Nash-implementation of the no-envy solution on symmetric domains of economies," Games and Economic Behavior, Elsevier, vol. 98(C), pages 165-171.
    29. Dall'Aglio, M. & Brânzei, R. & Tijs, S.H., 2008. "Cooperation in Dividing the Cake," Other publications TiSEM cc8598f8-1be5-46d7-b91d-1, Tilburg University, School of Economics and Management.
    30. Krist'of B'erczi & Erika R. B'erczi-Kov'acs & Endre Boros & Fekadu Tolessa Gedefa & Naoyuki Kamiyama & Telikepalli Kavitha & Yusuke Kobayashi & Kazuhisa Makino, 2020. "Envy-free Relaxations for Goods, Chores, and Mixed Items," Papers 2006.04428, arXiv.org.
    31. Sophie Bade & Erel Segal-Halevi, 2018. "Fairness for Multi-Self Agents," Papers 1811.06684, arXiv.org, revised Apr 2022.
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    34. Agnes Cseh & Tamás Fleiner, 2018. "The complexity of cake cutting with unequal shares," CERS-IE WORKING PAPERS 1819, Institute of Economics, Centre for Economic and Regional Studies.
    35. Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
    36. William Thomson, 2006. "Children crying at birthday parties. Why? Fairness and incentives for cake division problems," RCER Working Papers 526, University of Rochester - Center for Economic Research (RCER).
    37. Sagara, Nobusumi, 2008. "A characterization of [alpha]-maximin solutions of fair division problems," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 273-280, May.
    38. Hao Guo & Weidong Li & Bin Deng, 2023. "A Survey on Fair Allocation of Chores," Mathematics, MDPI, vol. 11(16), pages 1-28, August.
    39. Palvolgyi, D.G. & Peters, H.J.M. & Vermeulen, A.J., 2010. "A strategic approach to estate division problems with non-homogenous preferences," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    40. Antonio Nicolò & Andrés Perea y Monsuwe & Paolo Roberti, 2012. "Equal opportunity equivalence in land division," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 133-142, March.
    41. Erel Segal-Halevi & Balázs R. Sziklai, 2019. "Monotonicity and competitive equilibrium in cake-cutting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 363-401, September.
    42. Legut, Jerzy, 2020. "Simple fair division of a square," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 35-40.
    43. Balazs Sziklai & Erel Segal-Halevi, 2015. "Resource-monotonicity and Population-monotonicity in Cake-cutting," CERS-IE WORKING PAPERS 1552, Institute of Economics, Centre for Economic and Regional Studies.

  42. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-1767, November.

    Cited by:

    1. Rodrigo A. Velez, 2017. "Equitable rent division," Working Papers 20170818-001, Texas A&M University, Department of Economics.
    2. Sakai, Toyotaka, 2007. "Fairness and implementability in allocation of indivisible objects with monetary compensations," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 549-563, June.
    3. William Thomson, 2006. "On the Existence of Consistent Rules to Adjudicate Conflicting Claims: A Constructive Geometric Approach," RCER Working Papers 528, University of Rochester - Center for Economic Research (RCER).
    4. Andersson, Tommy & Svensson, Lars-Gunnar, 2008. "Non-manipulable assignment of individuals to positions revisited," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 350-354, November.
    5. Andersson, Tommy & Svensson, Lars-Gunnar & Ehlers, Lars, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Working Papers 2010:16, Lund University, Department of Economics, revised 15 Jan 2013.
    6. Andersson, Tommy & Svensson, Lars-Gunnar, 2007. "Weakly Fair Allocations and Strategy-Proofness," Working Papers 2007:3, Lund University, Department of Economics, revised 03 Jul 2007.
    7. Ohseto, Shinji, 2005. "Strategy-proof assignment with fair compensation," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 215-226, September.
    8. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    9. İpek Özkal-Sanver, 2013. "Minimal conversely consistent extension of the men-optimal solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 89-99, January.
    10. Rodrigo A. Velez, 2015. "Sharing an increase of the rent fairly," Working Papers 20151201-001, Texas A&M University, Department of Economics.
    11. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    12. Maniquet, F., 2000. "A Characterization of the Shapley Value in Queueing Problems," Papers 222, Notre-Dame de la Paix, Sciences Economiques et Sociales.
    13. Lars Ehlers & Isa Hafalir & Bumin Yenmez & Muhammed Yildirim, 2011. "School Choice with Controlled Choice Constraints: Hard Bounds versus Soft Bounds," GSIA Working Papers 2012-E21, Carnegie Mellon University, Tepper School of Business.
    14. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2014. "Transferring Ownership of Public Housing to Existing Tenants: A Mechanism Design Approach," Working Papers 2014:23, Lund University, Department of Economics.
    15. Abizada, Azar & Bó, Inácio, 2021. "Hiring from a pool of workers," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 576-591.
    16. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
    17. Yuen Leng Chow & Isa E. Hafalir & Abdullah Yavas, 2015. "Auction versus Negotiated Sale: Evidence from Real Estate Sales," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 43(2), pages 432-470, June.
    18. Miyagawa, Eiichi, 2001. "House Allocation with Transfers," Journal of Economic Theory, Elsevier, vol. 100(2), pages 329-355, October.
    19. Andersson, T. & Svensson, L.-G. & Yang, Z., 2010. "Constrainedly fair job assignments under minimum wages," Games and Economic Behavior, Elsevier, vol. 68(2), pages 428-442, March.
    20. Ning Sun & Zaifu Yang, 2009. "Strategy Proof And Privacy Preserving Fair Allocation Mechanism," The Japanese Economic Review, Japanese Economic Association, vol. 60(2), pages 143-151, June.
    21. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    22. Itai Ashlagi & Shigehiro Serizawa, 2012. "Characterizing Vickrey allocation rule by anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 531-542, March.
    23. Bettina Klaus & Alexandru Nichifor, 2019. "Serial Dictatorship Mechanisms with Reservation Prices," Cahiers de Recherches Economiques du Département d'économie 19.04, Université de Lausanne, Faculté des HEC, Département d’économie.
    24. Tommy ANDERSSON & Lars EHLERS, 2013. "An Algorithm for Identifying Agent-k-Linked Allocations in Economies with Indivisibilities," Cahiers de recherche 17-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    25. Bettina Klaus & Alexandru Nichifor, 2021. "Serial dictatorship mechanisms with reservation prices: heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 145-162, July.
    26. MANIQUET, François, 2009. "Social orderings for the assignment of indivisible objects," LIDAM Reprints CORE 2169, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    27. Tommy Andersson & Christer Andersson, 2009. "Solving House Allocation Problems with Risk-Averse Agents," Computational Economics, Springer;Society for Computational Economics, vol. 33(4), pages 389-401, May.
    28. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    29. Shuhei Morimoto & Shigehiro Serizawa, 2012. "Strategy-proofness and Efficiency with Nonquasi-linear Preferences: A Characterization of Minimum Price Walrasian Rule," ISER Discussion Paper 0852, Institute of Social and Economic Research, Osaka University.
    30. Tommy Andersson & Lars Ehlers, 2022. "An algorithm for identifying least manipulable envy‐free and budget‐balanced allocations in economies with indivisibilities," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 50-60, March.
    31. Atila Abdulkadiroglu & Tayfun Sonmez & M. Utku Unver, 2002. "Room Assignment-Rent Division: A Market Approach," Game Theory and Information 0202003, University Library of Munich, Germany, revised 09 Feb 2004.
    32. Azrieli, Yaron & Shmaya, Eran, 2014. "Rental harmony with roommates," Journal of Economic Theory, Elsevier, vol. 153(C), pages 128-137.
    33. Sun, Ning & Yang, Zaifu, 2017. "A general strategy proof fair allocation mechanism," Center for Mathematical Economics Working Papers 346, Center for Mathematical Economics, Bielefeld University.
    34. Murat Atlamaz & Duygu Yengin, 2008. "Fair Groves mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 573-587, December.
    35. Bochet, Olivier & Sakai, Toyotaka, 2007. "Strategic manipulations of multi-valued solutions in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 53-68, January.
    36. Somdeb Lahiri, 2005. "Consistency and the Competitive Outcome Function," Game Theory and Information 0512002, University Library of Munich, Germany.
    37. Fleurbaey, Marc, 1996. "Reward patterns of fair solutions," Journal of Public Economics, Elsevier, vol. 59(3), pages 365-395, March.
    38. Francisco Sánchez Sánchez, 2022. "Envy-Free Solutions to the Problem of Room Assignment and Rent Division," Group Decision and Negotiation, Springer, vol. 31(3), pages 703-721, June.
    39. Bossert, Walter, 1998. "Welfarism and rationalizability in allocation problems with indivisibilities1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 133-150, March.
    40. Fan‐Chin Kung, 2006. "An Algorithm for Stable and Equitable Coalition Structures with Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(3), pages 345-355, August.
    41. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    42. Lars-Gunnar Svensson, 2009. "Coalitional strategy-proofness and fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 227-245, August.
    43. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2013. "Egalitarian Equivalence And Strategyproofness In The Queueing Problem," Discussion Papers in Economics 13/16, Division of Economics, School of Business, University of Leicester.
    44. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    45. Haake, Claus-Jochen & Raith, Matthias G. & Su, Francis Edward, 2017. "Bidding for envy freeness," Center for Mathematical Economics Working Papers 311, Center for Mathematical Economics, Bielefeld University.
    46. Schummer, James, 2000. "Eliciting Preferences to Assign Positions and Compensation," Games and Economic Behavior, Elsevier, vol. 30(2), pages 293-318, February.
    47. ANDERSSON, Tommy & EHLERS, Lars & LARS-GUNNAR, Svensson, 2014. "Transferring ownership of public housing to existing tenants: a mechanism design," Cahiers de recherche 2014-05, Universite de Montreal, Departement de sciences economiques.
    48. Marc Fleurbaey, 2006. "To Envy or to be Envied? Refinements of No-Envy fot the Compensation Problem," IDEP Working Papers 0603, Institut d'economie publique (IDEP), Marseille, France, revised Jul 2006.
    49. Suzumura, Kotaro, 2001. "Pareto principles from Inch to Ell," Economics Letters, Elsevier, vol. 70(1), pages 95-98, January.
    50. Conan Mukherjee, 2014. "Fair and group strategy-proof good allocation with money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 289-311, February.
    51. Justin Leroux, 2006. "A discussion of the consistency axiom in cost-allocation problems," Cahiers de recherche 06-13, HEC Montréal, Institut d'économie appliquée.
    52. EHLERS, Lars, 2010. "School Choice with Control," Cahiers de recherche 13-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    53. Abizada, Azar & Chen, Siwei, 2016. "House allocation when availability of houses may change unexpectedly," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 29-37.
    54. Meertens, Marc & Potters, Jos & Reijnierse, Hans, 2002. "Envy-free and Pareto efficient allocations in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 223-233, December.
    55. Satoshi Nakada, 2018. "Envy-free allocation of indivisible goods with money and externalities," Economics Bulletin, AccessEcon, vol. 38(1), pages 52-59.
    56. Fujinaka, Yuji & Sakai, Toyotaka, 2007. "Maskin monotonicity in economies with indivisible goods and money," Economics Letters, Elsevier, vol. 94(2), pages 253-258, February.
    57. Tommy Andersson, 2009. "A general strategy-proof fair allocation mechanism revisited," Economics Bulletin, AccessEcon, vol. 29(3), pages 1717-1722.
    58. Yi, Jianxin & Li, Yong, 2016. "A general impossibility theorem and its application to individual rights," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 79-86.

  43. Chun, Youngsub & Thomson, William, 1990. "Bargaining with Uncertain Disagreement Points," Econometrica, Econometric Society, vol. 58(4), pages 951-959, July.

    Cited by:

    1. Paulo Barelli & Youngsub Chun & John Duggan, 2017. "Introduction to the special issue in honor of William Thomson," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 1-4, January.
    2. Ching-jen Sun, 2018. "The bargaining correspondence: when Edgeworth meets Nash," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 337-359, August.
    3. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    4. Youngsub Chun, 2021. "Axioms concerning uncertain disagreement points in 2-person bargaining problems," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 6(1), pages 37-58, December.
    5. Anbarci, Nejat & Sun, Ching-jen, 2013. "Robustness of intermediate agreements and bargaining solutions," Games and Economic Behavior, Elsevier, vol. 77(1), pages 367-376.
    6. Sinan Ertemel & Rajnish Kumar, 2018. "Proportional rules for state contingent claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 229-246, March.
    7. Chun, Youngsub, 2002. "The Converse Consistency Principle in Bargaining," Games and Economic Behavior, Elsevier, vol. 40(1), pages 25-43, July.
    8. Saglam, Ismail, 2012. "Endogenously Proportional Bargaining Solutions," MPRA Paper 42386, University Library of Munich, Germany.
    9. Taiji Furusawa & Quan Wen, 2001. "Unique Inneficient Perfect Equilibrium in a Stochastic Model of Bargaining with Complete Information," Vanderbilt University Department of Economics Working Papers 0121, Vanderbilt University Department of Economics.
    10. Salonen, Hannu, 1998. "Egalitarian solutions for n-person bargaining games," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 291-306, May.
    11. White, Lucy, 2008. "Prudence in bargaining: The effect of uncertainty on bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 62(1), pages 211-231, January.
    12. Kıbrıs, Özgür & Tapkı, İpek Gürsel, 2011. "Bargaining with nonanonymous disagreement: Decomposable rules," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 151-161.
    13. Chun, Youngsub, 2004. "On weighted Kalai-Samet solutions for non-transferable utility coalitional form games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 257-267, May.
    14. Walter Bossert & Hans Peters, 2022. "Individual disagreement point concavity and the bargaining problem," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 6-15, March.
    15. Rachmilevitch, Shiran, "undated". "Gradual Negotiations and Proportional Solutions," Working Papers WP2011/8, University of Haifa, Department of Economics.
    16. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    17. Balakrishnan, P.V. (Sundar) & Gómez, Juan Camilo & Vohra, Rakesh V., 2011. "The Tempered Aspirations solution for bargaining problems with a reference point," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 144-150.
    18. Smorodinsky, Rann, 2005. "Nash's bargaining solution when the disagreement point is random," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 3-11, July.

  44. Chun, Youngsub & Thomson, William, 1990. "Egalitarian solutions and uncertain disagreement points," Economics Letters, Elsevier, vol. 33(1), pages 29-33, May.

    Cited by:

    1. Saglam, Ismail, 2012. "A simple axiomatization of the egalitarian solution," MPRA Paper 36773, University Library of Munich, Germany.
    2. Rebolledo, Mayra, 2020. "M&A, uncertainty, and bargaining power: Evidence from the German retail sector," CAWM Discussion Papers 116, University of Münster, Münster Center for Economic Policy (MEP).
    3. Youngsub Chun, 2021. "Axioms concerning uncertain disagreement points in 2-person bargaining problems," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 6(1), pages 37-58, December.
    4. Chun, Youngsub, 2002. "The Converse Consistency Principle in Bargaining," Games and Economic Behavior, Elsevier, vol. 40(1), pages 25-43, July.
    5. Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona School of Economics.
    6. Yuan Ju, 2013. "Efficiency and compromise: a bid-offer–counteroffer mechanism with two players," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 501-520, May.
    7. Saglam, Ismail, 2012. "Endogenously Proportional Bargaining Solutions," MPRA Paper 42386, University Library of Munich, Germany.
    8. Salonen, Hannu, 1998. "Egalitarian solutions for n-person bargaining games," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 291-306, May.
    9. Chun, Youngsub, 2004. "On weighted Kalai-Samet solutions for non-transferable utility coalitional form games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 257-267, May.
    10. Walter Bossert & Hans Peters, 2022. "Individual disagreement point concavity and the bargaining problem," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 6-15, March.
    11. Rachmilevitch, Shiran, "undated". "Gradual Negotiations and Proportional Solutions," Working Papers WP2011/8, University of Haifa, Department of Economics.
    12. Balakrishnan, P.V. (Sundar) & Gómez, Juan Camilo & Vohra, Rakesh V., 2011. "The Tempered Aspirations solution for bargaining problems with a reference point," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 144-150.

  45. Thomson, William, 1990. "On the non existence of envy-free and egalitarian-equivalent allocations in economies with indivisibilities," Economics Letters, Elsevier, vol. 34(3), pages 227-229, November.

    Cited by:

    1. Sakai, Toyotaka, 2007. "Fairness and implementability in allocation of indivisible objects with monetary compensations," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 549-563, June.
    2. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    3. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 1-23, April.
    4. Susumu Cato, 2020. "Compatibility of egalitarian equivalence and envy-freeness in a continuum-agent economy," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 97-103, April.
    5. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    6. Enriqueta Aragones, 1992. "A Solution to the Envy-Free Selection Problem in Economies with Indivisible Goods," Discussion Papers 984, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. MANIQUET, François, 2009. "Social orderings for the assignment of indivisible objects," LIDAM Reprints CORE 2169, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Bade, Sophie & Segal-Halevi, Erel, 2023. "Fairness for multi-self agents," Games and Economic Behavior, Elsevier, vol. 141(C), pages 321-336.
    9. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2013. "Egalitarian Equivalence And Strategyproofness In The Queueing Problem," Discussion Papers in Economics 13/16, Division of Economics, School of Business, University of Leicester.
    10. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    11. Sophie Bade & Erel Segal-Halevi, 2018. "Fairness for Multi-Self Agents," Papers 1811.06684, arXiv.org, revised Apr 2022.
    12. Satoshi Nakada, 2018. "Envy-free allocation of indivisible goods with money and externalities," Economics Bulletin, AccessEcon, vol. 38(1), pages 52-59.
    13. Hiroki Shinozaki, 2022. "Egalitarian-Equivalence and Strategy-Proofness in the Object Allocation Problem with Non-Quasi-Linear Preferences," Games, MDPI, vol. 13(6), pages 1-24, November.

  46. Chun, Youngsub & Thomson, William, 1990. "Nash solution and uncertain disagreement points," Games and Economic Behavior, Elsevier, vol. 2(3), pages 213-223, September.
    See citations under working paper version above.
  47. Diamantaras, Dimitrios & Thomson, William, 1990. "A refinement and extension of the no-envy concept," Economics Letters, Elsevier, vol. 33(3), pages 217-222, July.
    See citations under working paper version above.
  48. Chun, Youngsub & Thomson, William, 1988. "Monotonicity properties of bargaining solutions when applied to economics," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 11-27, February.

    Cited by:

    1. Qi Feng & Yuanchen Li & J. George Shanthikumar, 2022. "Negotiations in Competing Supply Chains: The Kalai-Smorodinsky Bargaining Solution," Management Science, INFORMS, vol. 68(8), pages 5868-5890, August.
    2. Lars Ehlers & Bettina Klaus, 2014. "Object Allocation via Deferred-Acceptance: Strategy-Proofness and Comparative Statics," Cahiers de Recherches Economiques du Département d'économie 14.08, Université de Lausanne, Faculté des HEC, Département d’économie.
    3. Samuel Huber & Jaehong Kim, 2015. "The role of trading frictions in financial markets," ECON - Working Papers 211, Department of Economics - University of Zurich, revised Jul 2017.
    4. Youngsheng Xu & Naoki Yoshihara, 2019. "Does dynamic market competition with technological innovation leave no one behind?," Working Papers SDES-2019-11, Kochi University of Technology, School of Economics and Management, revised Nov 2019.
    5. Huber, Samuel & Kim, Jaehong, 2017. "On the optimal quantity of liquid bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 79(C), pages 184-200.
    6. Battal Dogan & Serhat Dogan & Kemal Yildiz, 2019. "Lexicographic Choice Under Variable Capacity Constraints," Papers 1910.13237, arXiv.org.
    7. Elisabeth Gugl & Justin Leroux, 2009. "Share the Gain, Share the Pain? Almost Transferable Utility, Changes in Production Possibilities and Bargaining Solutions," Department Discussion Papers 0903, Department of Economics, University of Victoria.
    8. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Monotonicity in sharing the revenues from broadcasting sports leagues," MPRA Paper 105643, University Library of Munich, Germany.
    9. Bu, Nanyang, 2022. "A new fairness notion in the assignment of indivisible resources," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 1-7.
    10. Youngsub Chun & Inkee Jang & Biung-Ghi Ju, 2012. "Priority, Solidarity and Egalitarianism," Working Paper Series no86, Institute of Economic Research, Seoul National University.
    11. Volij, Oscar & Dagan, Nir & Serrano, Roberto, 1997. "A Non-Cooperative View of Consistent Bankruptcy Rules," Staff General Research Papers Archive 5130, Iowa State University, Department of Economics.
    12. Clark, Derek, 1995. "Priority setting in health care: An axiomatic bargaining approach," Journal of Health Economics, Elsevier, vol. 14(3), pages 345-360, August.
    13. Vincent Martinet & Pedro Gajardo & Michel Lara, 2024. "Bargaining on monotonic social choice environments," Theory and Decision, Springer, vol. 96(2), pages 209-238, March.
    14. Jorge Alcalde-Unzu & Oihane Gallo & Elena Inarra & Juan D. Moreno-Ternero, 2023. "Solidarity to achieve stability," Papers 2302.07618, arXiv.org, revised Oct 2023.
    15. William Thomson, 2012. "On the axiomatics of resource allocation: Interpreting the consistency principle," RCER Working Papers 573, University of Rochester - Center for Economic Research (RCER).
    16. Afacan, Mustafa Oǧuz, 2017. "Some further properties of the cumulative offer process," Games and Economic Behavior, Elsevier, vol. 104(C), pages 656-665.
    17. Thomson, William, 2024. "On the manipulability of allocation rules through endowment augmentation," Games and Economic Behavior, Elsevier, vol. 146(C), pages 91-104.
    18. William Thomson, 2009. "Borrowing-proofness," RCER Working Papers 545, University of Rochester - Center for Economic Research (RCER).
    19. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    20. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    21. Lars Ehlers & Bettina Klaus, 2003. "Resource-Monotonicity for House Allocation," Working Papers 33, Barcelona School of Economics.
    22. EHLERS, Lars & KLAUS, Bettina, 2013. "House Allocation via Deferred-Acceptance," Cahiers de recherche 2013-05, Universite de Montreal, Departement de sciences economiques.
    23. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    24. Michael R. Caputo, 2016. "Intrinsic Comparative Statics of a Nash Bargaining Solution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-11, December.
    25. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
    26. Dur, Umut & Paiement, Scott, 2024. "A characterization of the top trading cycles mechanism for the school choice problem," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 93-100.
    27. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
    28. Mizukami, Hideki & Wakayama, Takuma, 2020. "Dominant strategy implementation of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 60-67.
    29. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
    30. Valenciano, Federico & Zarzuelo, Jose M., 1997. "On Nash's Hidden Assumption," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 266-281, October.
    31. EHLERS, Lars & KLAUS, Bettina, 2003. "Resource-Monotonicity for House Allocation Problems," Cahiers de recherche 12-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    32. Bossert, Walter, 1998. "Welfarism and rationalizability in allocation problems with indivisibilities1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 133-150, March.
    33. Nicolo, Antonio & Perea, Andres, 2005. "Monotonicity and equal-opportunity equivalence in bargaining," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 221-243, March.
    34. Corchon, Luis C. & Iturbe-Ormaetxe, Inigo, 2001. "A Proposal to Unify Some Concepts in the Theory of Fairness," Journal of Economic Theory, Elsevier, vol. 101(2), pages 540-571, December.
    35. Battal Dogan & Bettina Klaus, 2018. "Object Allocation via Immediate-Acceptance: Characterizations and an Affirmative Action Application," Cahiers de Recherches Economiques du Département d'économie 16.15, Université de Lausanne, Faculté des HEC, Département d’économie.
    36. Lars Ehlers & Bettina Klaus, 2013. "House Allocation via Deferred-Acceptance (N.B.: This paper has been extended and results are now contained in working paper 14.08.)," Cahiers de Recherches Economiques du Département d'économie 13.10, Université de Lausanne, Faculté des HEC, Département d’économie.
    37. Boragan Aruoba, S. & Rocheteau, Guillaume & Waller, Christopher, 2007. "Bargaining and the value of money," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2636-2655, November.
    38. Sertel, Murat R. & Yildiz, Muhamet, 1999. "Double-edged population monotonicity of Walrasian equilibrium--a note on the nature of competition," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 235-251, May.
    39. Nanyang Bu, 2014. "Characterizations of the sequential priority rules in the assignment of object types," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 635-645, October.
    40. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.
    41. Abizada, Azar & Chen, Siwei, 2016. "House allocation when availability of houses may change unexpectedly," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 29-37.
    42. Josep Maria Izquierdo & Carlos Rafels, 2017. "The incentive core in co-investment problems," UB School of Economics Working Papers 2017/369, University of Barcelona School of Economics.
    43. Gerber, Anke & Upmann, Thorsten, 2006. "Bargaining solutions at work: Qualitative differences in policy implications," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 162-175, September.
    44. Jin Li & Jingyi Xue, 2013. "Egalitarian division under Leontief Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 597-622, November.
    45. Elisabeth Gugl, 2007. "Almost transferable utility, changes in production possibilities, and the Nash Bargaining and the Kalai-Smorodinsky Solutions," Department Discussion Papers 0702, Department of Economics, University of Victoria.

  49. Thomson, William, 1988. "The Manipulability of the Shapley-Value," International Journal of Game Theory, Springer;Game Theory Society, vol. 17(2), pages 101-127.

    Cited by:

    1. Volij, Oscar & Winter, Eyal, 2002. "On Risk Aversion and Bargaining Outcomes," Staff General Research Papers Archive 10130, Iowa State University, Department of Economics.
    2. Churkin, Andrey & Bialek, Janusz & Pozo, David & Sauma, Enzo & Korgin, Nikolay, 2021. "Review of Cooperative Game Theory applications in power system expansion planning," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    3. Sanchez, Francisco Sanchez, 2002. "About inheritance distribution," Journal of Mathematical Economics, Elsevier, vol. 37(4), pages 297-309, July.
    4. Sonmez, Tayfun, 1997. "Games of Manipulation in Marriage Problems," Games and Economic Behavior, Elsevier, vol. 20(2), pages 169-176, August.
    5. Koji Takamiya, 2006. "Preference Revelation Games and Strong Cores of Allocation Problems with Indivisibilities," ISER Discussion Paper 0651, Institute of Social and Economic Research, Osaka University.
    6. Kibris, Ozgur, 2002. "Misrepresentation of Utilities in Bargaining: Pure Exchange and Public Good Economies," Games and Economic Behavior, Elsevier, vol. 39(1), pages 91-110, April.
    7. Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
    8. Velez, Rodrigo A., 2011. "Are incentives against economic justice?," Journal of Economic Theory, Elsevier, vol. 146(1), pages 326-345, January.
    9. Velez, Rodrigo A., 2015. "Sincere and sophisticated players in an equal-income market," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1114-1129.
    10. David Pérez-Castrillo & David Wettstein, "undated". "Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value," UFAE and IAE Working Papers 461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    11. Rausser, Gordon C & Simon, Leo K, 2016. "Nash bargaining and risk aversion," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt3x2173v3, Department of Agricultural & Resource Economics, UC Berkeley.
    12. Fujinaka, Yuji & Wakayama, Takuma, 2015. "Maximal manipulation of envy-free solutions in economies with indivisible goods and money," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 165-185.
    13. Gomez, Juan Camilo, 2006. "Achieving efficiency with manipulative bargainers," Games and Economic Behavior, Elsevier, vol. 57(2), pages 254-263, November.
    14. Yuji Fujinaka & Toyotaka Sakai, 2009. "The positive consequence of strategic manipulation in indivisible good allocation," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 325-348, November.
    15. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.

  50. Moulin, Herve & Thomson, William, 1988. "Can everyone benefit from growth? : Two difficulties," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 339-345, September.

    Cited by:

    1. Bähringer, Christoph & Helm, Carsten, 2008. "On the fair division of greenhouse gas abatement cost," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 33627, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Jörgen Kratz, 2017. "Overlapping multiple object assignments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 723-753, March.
    3. Miguel Ginés Vilar & Francisco Marhuenda Hurtado, 1998. "Welfarism in specific economic domain," Working Papers. Serie AD 1998-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. Youngsheng Xu & Naoki Yoshihara, 2019. "Does dynamic market competition with technological innovation leave no one behind?," Working Papers SDES-2019-11, Kochi University of Technology, School of Economics and Management, revised Nov 2019.
    5. Geoffroy de Clippel & Camelia Bejan, 2009. "No Profitable Decomposition in Quasi-Linear Allocation Problems," Working Papers 2009-6, Brown University, Department of Economics.
    6. Moulin, Herve, 1999. "Rationing a Commodity along Fixed Paths," Journal of Economic Theory, Elsevier, vol. 84(1), pages 41-72, January.
    7. Rodrigo A. Velez, 2015. "Sharing an increase of the rent fairly," Working Papers 20151201-001, Texas A&M University, Department of Economics.
    8. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Monotonicity in sharing the revenues from broadcasting sports leagues," MPRA Paper 105643, University Library of Munich, Germany.
    9. JU, Biung-Ghi & MORENO-TERNERO, Juan, 2014. "Fair allocation of disputed properties," LIDAM Discussion Papers CORE 2014024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Maniquet, F., 1996. "A Strong Incompatibility Between Efficiency and Equity in Non-Convex Economics," RCER Working Papers 426, University of Rochester - Center for Economic Research (RCER).
    11. Anna Bogomolnaia & Hervé Moulin & Fedor Sandomirskiy & Elena Yanovskaia, 2019. "Dividing bads under additive utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(3), pages 395-417, March.
    12. Jorge Alcalde-Unzu & Oihane Gallo & Elena Inarra & Juan D. Moreno-Ternero, 2023. "Solidarity to achieve stability," Papers 2302.07618, arXiv.org, revised Oct 2023.
    13. Cho, Wonki Jo, 2014. "Impossibility results for parametrized notions of efficiency and strategy-proofness in exchange economies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 26-39.
    14. Marc Fleurbaey & Alain Trannoy, 2003. "The impossibility of a Paretian egalitarian," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 243-263, October.
    15. Kratz, Jörgen, 2014. "Overlapping Multiple Assignments," Working Papers 2014:44, Lund University, Department of Economics.
    16. Thomson, William, 2024. "On the manipulability of allocation rules through endowment augmentation," Games and Economic Behavior, Elsevier, vol. 146(C), pages 91-104.
    17. William Thomson, 2009. "Borrowing-proofness," RCER Working Papers 545, University of Rochester - Center for Economic Research (RCER).
    18. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    19. Anna Bogomolnaia & Herve Moulin & Fedor Sandomirskiy & Elena Yanovskaya, 2016. "Dividing Goods or Bads Under Additive Utilities," HSE Working papers WP BRP 147/EC/2016, National Research University Higher School of Economics.
    20. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    21. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
    22. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
    23. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
    24. Marcus Berliant & Karl Dunz & William Thomson, 2000. "On the Fairness Literature: Comment," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 479-484, October.
    25. Piacquadio, Paolo G., 2014. "Intergenerational egalitarianism," Journal of Economic Theory, Elsevier, vol. 153(C), pages 117-127.
    26. Miguel Gines & Francisco Marhuenda, 1996. "Cost monotonic mechanisms," Investigaciones Economicas, Fundación SEPI, vol. 20(1), pages 89-103, January.
    27. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    28. Tanguy Isaac & Paolo Piacquadio, 2015. "Equity and efficiency in an overlapping generation model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 549-565, March.
    29. Kranich, Laurence, 1995. "Equity and economic theory: reflections on methodology and scope," UC3M Working papers. Economics 3919, Universidad Carlos III de Madrid. Departamento de Economía.
    30. Christopher P. Chambers & Takashi Hayashi, 2020. "Can everyone benefit from economic integration?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 821-833, June.
    31. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.
    32. Anna Bogomolnaia & Herve Moulin & Fedor Sandomirskiy & Elena Yanovskaya, 2017. "Competitive division of a mixed manna," HSE Working papers WP BRP 158/EC/2017, National Research University Higher School of Economics.
    33. Shigehiro Serizawa & John A. Weymark, 2002. "Efficient Strategy-Proof Exchange and Minimum Consumption Guarantees," Vanderbilt University Department of Economics Working Papers 0216, Vanderbilt University Department of Economics, revised Aug 2002.
    34. EHLERS, Lars & KLAUS, Bettina, 2003. "Resource-Monotonicity for House Allocation Problems," Cahiers de recherche 12-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    35. Nicolo, Antonio & Perea, Andres, 2005. "Monotonicity and equal-opportunity equivalence in bargaining," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 221-243, March.
    36. Harless, Patrick, 2015. "Solidarity with respect to small changes in preferences in public good economies with single-peaked preferences," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 81-86.
    37. Alon, Shiri & Lehrer, Ehud, 2019. "Competitive equilibrium as a bargaining solution: An axiomatic approach," Games and Economic Behavior, Elsevier, vol. 118(C), pages 60-71.
    38. Fleurbaey, Marc & Maniquet, Francois, 1996. "Fair allocation with unequal production skills: The No Envy approach to compensation," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 71-93, August.
    39. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    40. Ruben Juarez & Kohei Nitta & Miguel Vargas, 2020. "Profit-sharing and efficient time allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 817-846, October.
    41. Yair Tauman & Andriy Zapechelnyuk, 2010. "On (non-) monotonicity of cooperative solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 171-175, March.
    42. Chambers, Christopher P. & Hayashi, Takashi, 2020. "Can everyone benefit from innovation?," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 187-191.
    43. Duygu Yengin, 2011. "Identical Preferences Lower Bound for Allocation of Heterogeneous Tasks and NIMBY Problems," School of Economics and Public Policy Working Papers 2011-27, University of Adelaide, School of Economics and Public Policy.
    44. Christopher P. Chambers & Takashi Hayashi, 2017. "Gains From Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(3), pages 923-942, August.
    45. Erel Segal-Halevi & Balázs R. Sziklai, 2019. "Monotonicity and competitive equilibrium in cake-cutting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 363-401, September.
    46. Maniquet, Francois & Sprumont, Yves, 2000. "On resource monotonicity in the fair division problem," Economics Letters, Elsevier, vol. 68(3), pages 299-302, September.
    47. Jin Li & Jingyi Xue, 2013. "Egalitarian division under Leontief Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 597-622, November.

  51. Thomson, William, 1988. "A study of choice correspondences in economies with a variable number of agents," Journal of Economic Theory, Elsevier, vol. 46(2), pages 237-254, December.

    Cited by:

    1. Peris, Josep E. & Jiménez-Gómez, José M., 2012. "Fair bounds based solidarity," QM&ET Working Papers 12-12, University of Alicante, D. Quantitative Methods and Economic Theory.
    2. Chiara Donnini & Maria Laura Pesce, 2021. "Fairness and Formation Rules of Coalitions," CSEF Working Papers 624, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 24 May 2023.
    3. William Thomson, 2006. "On the Existence of Consistent Rules to Adjudicate Conflicting Claims: A Constructive Geometric Approach," RCER Working Papers 528, University of Rochester - Center for Economic Research (RCER).
    4. van den Nouweland, C.G.A.M. & Peleg, B. & Tijs, S.H., 1994. "Axiomatic characterizations of the Walras correspondence for generalized economies," Discussion Paper 1994-58, Tilburg University, Center for Economic Research.
    5. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    6. Zhou, Lin, 1992. "Strictly fair allocations in large exchange economies," Journal of Economic Theory, Elsevier, vol. 57(1), pages 158-175.
    7. Anne van den Nouweland & Myrna H. Wooders & S. Tijs, 2002. "Axiomatization of ratio equilibria in public good economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 627-636.
    8. Efthymios Athanasiou, 2012. "Endogenous productivity and equality of opportunity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 59-89, June.
    9. İpek Özkal-Sanver, 2013. "Minimal conversely consistent extension of the men-optimal solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 89-99, January.
    10. Peter J. Hammond, 2003. "Equal rights to trade and mediate," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 181-193, October.
    11. Nir Dagan, 1995. "Consistent Solutions in Exchange Economies: a Characterization of the Price Mechanism," Economic theory and game theory 011, Nir Dagan.
    12. Kohzo Shiraishi & Ken Urai & Hiromi Murakami, 2018. "Stability and Universal Implementability of the Price Mechanism," Discussion Papers in Economics and Business 18-16, Osaka University, Graduate School of Economics.
    13. JU, Biung-Ghi & MORENO-TERNERO, Juan, 2014. "Fair allocation of disputed properties," LIDAM Discussion Papers CORE 2014024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Marc Fleurbaey, 2005. "The Pazner-Schmeidler social ordering: A defense," Post-Print hal-00247024, HAL.
    15. Thomson, William, 2024. "On the manipulability of allocation rules through endowment augmentation," Games and Economic Behavior, Elsevier, vol. 146(C), pages 91-104.
    16. González-Díaz, Julio & Mirás Calvo, Miguel Ángel & Quinteiro Sandomingo, Carmen & Sánchez Rodríguez, Estela, 2016. "Airport games: The core and its center," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 105-115.
    17. Hiromi Murakami & Ken Urai, 2017. "Replica core limit theorem for economies with satiation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 259-270, October.
    18. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    19. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    20. Cato, Susumu, 2010. "Local envy-freeness and equal-income Walrasian allocations," Economics Letters, Elsevier, vol. 107(2), pages 239-241, May.
    21. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    22. Anna Bogomolnaia & Herve Moulin & Fedor Sandomirskiy & Elena Yanovskaya, 2016. "Dividing Goods or Bads Under Additive Utilities," HSE Working papers WP BRP 147/EC/2016, National Research University Higher School of Economics.
    23. Maniquet, F., 1996. "An Equal Right Solution to the Compensation-Responsability Dilemma," UFAE and IAE Working Papers 335.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    24. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    25. Christopher P. Chambers & Takashi Hayashi, 2017. "Resource allocation with partial responsibilities for initial endowments," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(4), pages 355-368, December.
    26. Volij, Oscar & Serrano, Roberto, 1998. "Axiomatizations of Neoclassical Concepts for Economies," Staff General Research Papers Archive 5192, Iowa State University, Department of Economics.
    27. Chiara Donnini & Marialaura Pesce, 2021. "Fairness and fuzzy coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1033-1052, December.
    28. Paula Jaramillo, 2014. "Minimal consistent enlargements of the immediate acceptance rule and the top trading cycles rule in school choice," Documentos CEDE 12343, Universidad de los Andes, Facultad de Economía, CEDE.
    29. Ken Urai & Hiromi Murakami, 2015. "An Axiomatic Characterization of the Price-Money Message Mechanism," Discussion Papers in Economics and Business 15-31-Rev., Osaka University, Graduate School of Economics, revised Mar 2016.
    30. Youngsub Chun & William Thomson, 2004. "Convergence under Replication of Rules to Adjudicate Conflicting Claims," RCER Working Papers 512, University of Rochester - Center for Economic Research (RCER).
    31. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    32. Anna Bogomolnaia & Herve Moulin & Fedor Sandomirskiy & Elena Yanovskaya, 2017. "Competitive division of a mixed manna," HSE Working papers WP BRP 158/EC/2017, National Research University Higher School of Economics.
    33. Maniquet, Francois, 1996. "Horizontal equity and stability when the number of agents is variable in the fair division problem," Economics Letters, Elsevier, vol. 50(1), pages 85-90, January.
    34. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    35. Alon, Shiri & Lehrer, Ehud, 2019. "Competitive equilibrium as a bargaining solution: An axiomatic approach," Games and Economic Behavior, Elsevier, vol. 118(C), pages 60-71.
    36. Fleurbaey, Marc & Maniquet, Francois, 1996. "Fair allocation with unequal production skills: The No Envy approach to compensation," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 71-93, August.
    37. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan.
    38. Sakai, Toyotaka, 2009. "Walrasian social orderings in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 16-22, January.
    39. Kultti, Klaus & Vartiainen, Hannu, 2007. "Von Neumann-Morgenstern stable sets, discounting, and Nash bargaining," Journal of Economic Theory, Elsevier, vol. 137(1), pages 721-728, November.
    40. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    41. Ken Urai & Hiromi Murakami, 2017. "Local Independence, Monotonicity, Incentive Compatibility and Axiomatic Characterization of Price-Money Message Mechanism," Discussion Papers in Economics and Business 17-08, Osaka University, Graduate School of Economics.
    42. Yuki Tamura, 2022. "Object reallocation problems under single-peaked preferences: two characterizations of the crawler," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 537-565, November.
    43. Susumu Cato, 2018. "Choice functions and weak Nash axioms," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 159-176, December.
    44. Ken Urai & Hiromi Murakami, 2015. "An Axiomatic Characterization of the Price-Money Message Mechanism," Discussion Papers in Economics and Business 15-31, Osaka University, Graduate School of Economics.
    45. Marc Fleurbaey, 2004. "Two Criteria for Social Decisions," Economics Papers 2004-W27, Economics Group, Nuffield College, University of Oxford.
    46. Ken Urai & Hiromi Murakami, 2016. "Local Independence, Monotonicity and Axiomatic Characterization of Price-Money Message Mechanism," Discussion Papers in Economics and Business 16-08, Osaka University, Graduate School of Economics.
    47. Kohzo Shiraishi & Ken Urai & Hiromi Murakami, 2017. "Stability and Universal Implementability of the Price Mechanism," Discussion Papers in Economics and Business 17-09, Osaka University, Graduate School of Economics.
    48. Kohzo Shiraishi & Ken Urai & Hiromi Murakami, 2016. "Universality and Efficiency of Price Mechanism based on an Expansion Possibility of Economies," Discussion Papers in Economics and Business 16-10, Osaka University, Graduate School of Economics.
    49. Maniquet, Francois & Sprumont, Yves, 2000. "On resource monotonicity in the fair division problem," Economics Letters, Elsevier, vol. 68(3), pages 299-302, September.
    50. Jin Li & Jingyi Xue, 2013. "Egalitarian division under Leontief Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 597-622, November.
    51. Chambers, Christopher P. & Thomson, William, 2002. "Group order preservation and the proportional rule for the adjudication of conflicting claims," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 235-252, December.
    52. Lin Zhou, 1991. "Strictly Fair Allocations in Large Exchange Economies," Cowles Foundation Discussion Papers 972, Cowles Foundation for Research in Economics, Yale University.
    53. Cato, Susumu, 2010. "Local strict envy-freeness in large economies," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 319-322, May.

  52. Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June.

    Cited by:

    1. Beghin, John C. & Knox Lovell, G. A., 1991. "Trade and Efficiency Effects of Domestic Content Protection The Australian Tobacco and Cigarette Industries," Archive 259513, North Carolina State University, Department of Agricultural and Resource Economics.
    2. Engwerda, J.C., 2006. "On the Sensitivity Matrix of the Nash Bargaining Solution," Other publications TiSEM 1c9386df-f597-4d04-89e1-9, Tilburg University, School of Economics and Management.
    3. Gafaro, M & Mantilla, C, 2019. "Preferences, Uncertainty, and Biases in Land Division: A Bargaining Experiment in the Field," Documentos de trabajo - Alianza EFI 18983, Alianza EFI.
    4. Diskin, A. & Koppel, M. & Samet, D., 2011. "Generalized Raiffa solutions," Games and Economic Behavior, Elsevier, vol. 73(2), pages 452-458.
    5. Nejat Anbarci & Nick Feltovich, 2011. "How sensitive are bargaining outcomes to changes in disagreement payoffs?," Monash Economics Working Papers 36-11, Monash University, Department of Economics.
    6. Ismail Saglam, 2022. "Bridging bargaining theory with the regulation of a natural monopoly," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 307-344, September.
    7. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    8. Adib Bagh & Josh Ederington, 2024. "Equity‐efficiency tradeoffs in international bargaining," Economic Inquiry, Western Economic Association International, vol. 62(2), pages 782-804, April.
    9. Lang, Xu, 2016. "Essays in microeconomic theory," Other publications TiSEM 767e79ca-5c15-4a6e-86a5-6, Tilburg University, School of Economics and Management.
    10. Youngsub Chun, 2021. "Axioms concerning uncertain disagreement points in 2-person bargaining problems," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 6(1), pages 37-58, December.
    11. Anbarci, Nejat & Sun, Ching-jen, 2013. "Robustness of intermediate agreements and bargaining solutions," Games and Economic Behavior, Elsevier, vol. 77(1), pages 367-376.
    12. Toda, Manabu, 2005. "Axiomatization of the core of assignment games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 248-261, November.
    13. Beghin, John C. & Sumner, Daniel A., 1991. "A Game-Theoretic Analysis Of The Australian ~ Tobacco Domestic Content Policy," 1991 Annual Meeting, August 4-7, Manhattan, Kansas 271257, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    14. Beghin, John C. & Sumner, Daniel A., 1990. "Content Requirements with Bilateral Monopoly," Department of Economics and Business - Archive 259453, North Carolina State University, Department of Economics.
    15. Michael R. Caputo, 2016. "Intrinsic Comparative Statics of a Nash Bargaining Solution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-11, December.
    16. Shiran Rachmilevitch, 2022. "Pre-bargaining Investment Implies a Pareto Ranking of Bargaining Solutions," Group Decision and Negotiation, Springer, vol. 31(4), pages 769-787, August.
    17. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
    18. Watson, Joel & Brennan, Jim, 2002. "The Renegotiation-Proofness Principle and Costly Renegotiation," University of California at San Diego, Economics Working Paper Series qt4242n025, Department of Economics, UC San Diego.
    19. Nejat Anbarci & Nick Feltovich, 2016. "How fully do people exploit their bargaining position? The effects of bargaining institution and the 50–50 norm," Monash Economics Working Papers 21-16, Monash University, Department of Economics.
    20. Nejat Anbarci & Nick Feltovich, 2013. "How responsive are people to changes in their bargaining position? Earned bargaining power and the 50–50 norm," EcoMod2013 5855, EcoMod.
    21. Douven, R.C.M.H. & Engwerda, J.C., 1995. "Properties of N-person axiomatic bargaining solutions if the Pareto frontier is twice differentiable and strictly concave," Other publications TiSEM ef77e675-1d26-4a70-abff-8, Tilburg University, School of Economics and Management.
    22. Ross Cressman, Maria Gallego, 2005. "On the Ranking of Bilateral Bargaining Opponents," Working Papers eg0043, Wilfrid Laurier University, Department of Economics, revised 2005.
    23. Douven, R.C.M.H., 1995. "Policy coordination and convergence in the EU," Other publications TiSEM d4354b51-1c72-4109-9bde-e, Tilburg University, School of Economics and Management.
    24. Samet, Dov, 2009. "What if Achilles and the tortoise were to bargain? An argument against interim agreements," MPRA Paper 23370, University Library of Munich, Germany.
    25. Philip Grech & Oriol Tejada, 2018. "Divide the dollar and conquer more: sequential bargaining and risk aversion," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1261-1286, November.
    26. Shiran Rachmilevitch, 2011. "A characterization of the Kalai–Smorodinsky bargaining solution by disagreement point monotonicity," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 691-696, November.
    27. Bolton, Gary E. & Karagözoğlu, Emin, 2016. "On the influence of hard leverage in a soft leverage bargaining game: The importance of credible claims," Games and Economic Behavior, Elsevier, vol. 99(C), pages 164-179.
    28. Younghwan In, 2008. "On the relevance of alternatives in bargaining: generalized average pay-off solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 251-264, June.
    29. Kıbrıs, Özgür & Tapkı, İpek Gürsel, 2011. "Bargaining with nonanonymous disagreement: Decomposable rules," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 151-161.
    30. Walter Bossert & Hans Peters, 2022. "Individual disagreement point concavity and the bargaining problem," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 6-15, March.
    31. Eric van Damme & Xu Lang, 2022. "Two-Person Bargaining when the Disagreement Point is Private Information," Papers 2211.06830, arXiv.org, revised Jan 2024.
    32. Calleja, Pere & Llerena Garrés, Francesc, 2016. "Consistency distinguishes the (weighted) Shapley value, the (weighted) surplus division value and the prenucleolus," Working Papers 2072/266577, Universitat Rovira i Virgili, Department of Economics.
    33. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    34. Niklas Dreyer & Robert M. Gillenkirch, 2019. "Cash versus opportunity costs and revenues in bilateral bargaining," Journal of Business Economics, Springer, vol. 89(4), pages 357-383, June.
    35. Balakrishnan, P.V. (Sundar) & Gómez, Juan Camilo & Vohra, Rakesh V., 2011. "The Tempered Aspirations solution for bargaining problems with a reference point," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 144-150.
    36. Rachmilevitch, Shiran, 2013. "Cooperative bargaining: Independence and monotonicity imply disagreement," Economics Letters, Elsevier, vol. 118(1), pages 240-242.
    37. Beghin, John C., 1988. "Towards a Theoretical Framework for Policy Behavioral Equations," Department of Economics and Business - Archive 259443, North Carolina State University, Department of Economics.
    38. Beghin, John & Knox Lovell, C.A., 1991. "Testing Trade and Efficiency Effects of Domestic Content in the Australian Tobacco and Cigarette Industries," WAEA/ WFEA Conference Archive (1929-1995) 321436, Western Agricultural Economics Association.
    39. Pedro Calleja & Francesc Llerena, 2019. "Path monotonicity, consistency and axiomatizations of some weighted solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 287-310, March.

  53. Thomson, W, 1987. "Individual and Collective Opportunities," International Journal of Game Theory, Springer;Game Theory Society, vol. 16(4), pages 245-252.

    Cited by:

    1. Tanguy Isaac & Paolo Piacquadio, 2015. "Equity and efficiency in an overlapping generation model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 549-565, March.
    2. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.

  54. Chichilnisky, Graciela & Thomson, William, 1987. "The walrasian mechanism from equal division is not monotonic with respect to variations in the number of consumers," Journal of Public Economics, Elsevier, vol. 32(1), pages 119-124, February.

    Cited by:

    1. Bähringer, Christoph & Helm, Carsten, 2008. "On the fair division of greenhouse gas abatement cost," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 33627, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Helm, Carsten & Simonis, Udo E., 2000. "Distributive justice in international environmental policy - theoretical foundation and exemplary formulation," Discussion Papers, Research Professorship Environmental Policy FS II 00-404, WZB Berlin Social Science Center.
    3. Thomson, William, 2024. "On the manipulability of allocation rules through endowment augmentation," Games and Economic Behavior, Elsevier, vol. 146(C), pages 91-104.
    4. William Thomson, 2009. "Borrowing-proofness," RCER Working Papers 545, University of Rochester - Center for Economic Research (RCER).
    5. Ehlers, Lars, 2003. "Multiple public goods, lexicographic preferences, and single-plateaued preference rules," Games and Economic Behavior, Elsevier, vol. 43(1), pages 1-27, April.
    6. Helm, Carsten & Simonis, Udo E., 2001. "Verteilungsgerechtigkeit in der internationalen Umweltpolitik. Theoretische Fundierung und exemplarische Formulierung," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 33645, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    7. William Thomson, 2012. "New variable-population paradoxes for resource allocation," RCER Working Papers 575, University of Rochester - Center for Economic Research (RCER).
    8. Marcus Berliant & Karl Dunz & William Thomson, 2000. "On the Fairness Literature: Comment," Southern Economic Journal, John Wiley & Sons, vol. 67(2), pages 479-484, October.
    9. Fleurbaey, Marc, 1996. "Reward patterns of fair solutions," Journal of Public Economics, Elsevier, vol. 59(3), pages 365-395, March.
    10. Sertel, Murat R. & Yildiz, Muhamet, 1999. "Double-edged population monotonicity of Walrasian equilibrium--a note on the nature of competition," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 235-251, May.
    11. Erel Segal-Halevi & Balázs R. Sziklai, 2019. "Monotonicity and competitive equilibrium in cake-cutting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 363-401, September.

  55. William Thomson, 1984. "The Manipulability of Resource Allocation Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 447-460.

    Cited by:

    1. Rodrigo A. Velez, 2017. "Equitable rent division," Working Papers 20170818-001, Texas A&M University, Department of Economics.
    2. Churkin, Andrey & Bialek, Janusz & Pozo, David & Sauma, Enzo & Korgin, Nikolay, 2021. "Review of Cooperative Game Theory applications in power system expansion planning," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    3. Sonmez, Tayfun, 1997. "Games of Manipulation in Marriage Problems," Games and Economic Behavior, Elsevier, vol. 20(2), pages 169-176, August.
    4. Koji Takamiya, 2006. "Preference Revelation Games and Strong Cores of Allocation Problems with Indivisibilities," ISER Discussion Paper 0651, Institute of Social and Economic Research, Osaka University.
    5. Murat R. Sertel & Remzi Sanver, 2001. "Strong Equilibrium Outcomes of Voting Games are the Generalized Condorcet Winners," Working Papers 0107, Department of Economics, Bilkent University.
    6. Kibris, Ozgur, 2002. "Misrepresentation of Utilities in Bargaining: Pure Exchange and Public Good Economies," Games and Economic Behavior, Elsevier, vol. 39(1), pages 91-110, April.
    7. Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
    8. Michele Lombardi & Naoki Yoshihara, 2017. "Natural implementation with semi-responsible agents in pure exchange economies," UMASS Amherst Economics Working Papers 2017-05, University of Massachusetts Amherst, Department of Economics.
    9. Velez, Rodrigo A., 2011. "Are incentives against economic justice?," Journal of Economic Theory, Elsevier, vol. 146(1), pages 326-345, January.
    10. Velez, Rodrigo A., 2015. "Sincere and sophisticated players in an equal-income market," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1114-1129.
    11. Lombardi, Michele & Yoshihara, Naoki, 2013. "Natural Implementation with Partially Honest Agents in Economic Environments," Discussion Paper Series 592, Institute of Economic Research, Hitotsubashi University.
    12. Chakravorty, Bhaskar & Corchon, Luis C. & Wilkie, Simon, 2006. "Credible implementation," Games and Economic Behavior, Elsevier, vol. 57(1), pages 18-36, October.
    13. Fujinaka, Yuji & Wakayama, Takuma, 2015. "Maximal manipulation of envy-free solutions in economies with indivisible goods and money," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 165-185.
    14. Michele Lombardi & Naoki Yoshihara, 2015. "Natural implementation with partially-honest agents in economic environments with free-disposal," Working Papers SDES-2015-1, Kochi University of Technology, School of Economics and Management, revised Jan 2015.
    15. Gomez, Juan Camilo, 2006. "Achieving efficiency with manipulative bargainers," Games and Economic Behavior, Elsevier, vol. 57(2), pages 254-263, November.
    16. Sinan Ertemel & Levent Kutlu & M. Remzi Sanver, 2015. "Voting games of resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 187-201, June.
    17. Sobel, Joel, 2001. "Manipulation of Preferences and Relative Utilitarianism," Games and Economic Behavior, Elsevier, vol. 37(1), pages 196-215, October.
    18. Ju, Biung-Ghi, 2005. "Strategy-proof risk sharing," Games and Economic Behavior, Elsevier, vol. 50(2), pages 225-254, February.
    19. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    20. Toyotaka Sakai, 2012. "Fair waste pricing: an axiomatic analysis to the NIMBY problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 499-521, June.
    21. Claus-Jochen Haake & Cheng-Zhong Qin, 2018. "On unification of solutions to the bargaining problem," Working Papers CIE 113, Paderborn University, CIE Center for International Economics.

  56. Thomson, William, 1984. "Monotonicity, stability and egalitarianism," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 15-28, August.

    Cited by:

    1. William Thomson, 2020. "Reconciling Consistency and Continuity: A Bounded-Population Characterization of the Nash Bargaining Solution," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 43-57, November.
    2. Saglam, Ismail, 2012. "A simple axiomatization of the egalitarian solution," MPRA Paper 36773, University Library of Munich, Germany.
    3. Youngsub Chun, 2005. "The replacement principle in bargaining," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 141-154, October.
    4. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    5. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    6. Chun, Youngsub, 2002. "The Converse Consistency Principle in Bargaining," Games and Economic Behavior, Elsevier, vol. 40(1), pages 25-43, July.
    7. Yajing Chen, 2017. "New axioms for deferred acceptance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 393-408, February.

  57. Thomson, William & Lensberg, Terje, 1983. "Guarantee structures for problems of fair division," Mathematical Social Sciences, Elsevier, vol. 4(3), pages 205-218, July.

    Cited by:

    1. Harless, Patrick & Phan, William, 2022. "Efficient mixtures of priority rules for assigning objects," Games and Economic Behavior, Elsevier, vol. 132(C), pages 73-89.
    2. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.

  58. Thomson, William, 1983. "Collective guarantee structures," Economics Letters, Elsevier, vol. 11(1-2), pages 63-68.

    Cited by:

    1. Harless, Patrick, 2017. "Wary of the worst: Maximizing award guarantees when new claimants may arrive," Games and Economic Behavior, Elsevier, vol. 105(C), pages 316-328.

  59. Thomson, William, 1983. "Equity in exchange economies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 217-244, April.

    Cited by:

    1. Maniquet, Francois, 2001. "On decomposable exchange rules," Economics Letters, Elsevier, vol. 70(3), pages 375-380, March.
    2. Efthymios Athanasiou, 2012. "Endogenous productivity and equality of opportunity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 59-89, June.
    3. Ricardo Martinez & Juan D. Moreno-Ternero, 2024. "Fair allocation of riparian water rights," Papers 2407.14623, arXiv.org.
    4. JU, Biung-Ghi & MORENO-TERNERO, Juan, 2014. "Fair allocation of disputed properties," LIDAM Discussion Papers CORE 2014024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2016. "Entitlement theory of justice and end-state fairness in the allocation of goods," UMASS Amherst Economics Working Papers 2016-14, University of Massachusetts Amherst, Department of Economics.
    6. Yongsheng Xu & Naoki Yoshihara, 2022. "Bargaining theory over opportunity assignments and the egalitarian solution," Metroeconomica, Wiley Blackwell, vol. 73(1), pages 198-219, February.
    7. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    8. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    9. Moulin, Herve & Thomson, William, 1988. "Can everyone benefit from growth? : Two difficulties," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 339-345, September.
    10. Shinji Yamashige, 1995. "Fairness in Markets and Government Policies," Working Papers yamashig-95-03, University of Toronto, Department of Economics.
    11. Fleurbaey, Marc & Maniquet, Francois, 1996. "Fair allocation with unequal production skills: The No Envy approach to compensation," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 71-93, August.
    12. Kaname Miyagishima, 2015. "Implementability and equity in production economies with unequal skills," Review of Economic Design, Springer;Society for Economic Design, vol. 19(3), pages 247-257, September.

  60. Thomson, William, 1983. "Problems of fair division and the Egalitarian solution," Journal of Economic Theory, Elsevier, vol. 31(2), pages 211-226, December.

    Cited by:

    1. GORDON, Sidartha, 2006. "Solidarity in Choosing a Location on a Cycle," Cahiers de recherche 2006-06, Universite de Montreal, Departement de sciences economiques.
    2. Yengin, Duygu & Chun, Youngsub, 2020. "No-envy, solidarity, and strategy-proofness in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 87-97.
    3. William Thomson, 2020. "Reconciling Consistency and Continuity: A Bounded-Population Characterization of the Nash Bargaining Solution," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 43-57, November.
    4. Juan D. Moreno-Ternero & John E. Roemer, 2011. "A common ground for resource and welfare egalitarianism," Working Papers 11.12, Universidad Pablo de Olavide, Department of Economics.
    5. Saglam, Ismail, 2012. "A simple axiomatization of the egalitarian solution," MPRA Paper 36773, University Library of Munich, Germany.
    6. Fuhito Kojima & M. Ünver, 2014. "The “Boston” school-choice mechanism: an axiomatic approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 515-544, April.
    7. Miguel Ginés Vilar & Francisco Marhuenda Hurtado, 1998. "Welfarism in specific economic domain," Working Papers. Serie AD 1998-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    8. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
    9. Youngsub Chun, 2020. "Some Impossibility Results on the Converse Consistency Principle in Bargaining," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 59-65, November.
    10. Jerry Green, 2005. "Compensatory transfers in two-player decision problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 159-180, June.
    11. William Thomson & Chun-Hsien Yeh, 2006. "Operators for the adjudication of conflicting claims," RCER Working Papers 531, University of Rochester - Center for Economic Research (RCER).
    12. Dietzenbacher, Bas & Dogan, Emre, 2024. "Population monotonicity and egalitarianism," Research Memorandum 007, Maastricht University, Graduate School of Business and Economics (GSBE).
    13. Gines, M. & Marhuenda, F., 2000. "Welfarism in Economic Domains," Journal of Economic Theory, Elsevier, vol. 93(2), pages 191-204, August.
    14. Youngsub Chun & Inkee Jang & Biung-Ghi Ju, 2012. "Priority, Solidarity and Egalitarianism," Working Paper Series no86, Institute of Economic Research, Seoul National University.
    15. Bettina Klaus & Panos Protopapas, 2020. "Solidarity for public goods under single-peaked preferences: characterizing target set correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 405-430, October.
    16. Jean-Paul Chavas & Jay Coggins, 2003. "On fairness and welfare analysis under uncertainty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 203-228, March.
    17. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2010. "Baseline Rationing," Discussion Papers 10-16, University of Copenhagen. Department of Economics.
    18. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    19. Christopher P. Chambers & Juan D. Moreno-Ternero, 2015. "Taxation and Poverty," Working Papers 15.05, Universidad Pablo de Olavide, Department of Economics.
    20. MORENO-TERNERO, Juan D. & ROEMER, John E., 2005. "Impartiality, priority, and solidarity in the theory of justice," LIDAM Discussion Papers CORE 2005077, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. Takaaki Abe & Shuige Liu, 2018. "Monotonic Core Allocation Paths for Assignment Games," Working Papers 1808, Waseda University, Faculty of Political Science and Economics.
    22. Elaine Bennett, 1986. "Multilateral Bargaining Problems," UCLA Economics Working Papers 594, UCLA Department of Economics.
    23. Jens Hougaard & Juan Moreno-Ternero & Lars Østerdal, 2013. "Rationing in the presence of baselines," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1047-1066, April.
    24. Chunding Li & John Whalley, 2012. "China's Potential Future Growth and Gains from Trade Policy Bargaining: Some Numerical Simulation Results," NBER Working Papers 17826, National Bureau of Economic Research, Inc.
    25. Sidartha Gordon, 2015. "Unanimity in attribute-based preference domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 13-29, January.
    26. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
    27. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    28. Josune Albizuri, M. & Dietzenbacher, Bas & Zarzuelo, J., 2019. "Bargaining with Independence of Higher or Irrelevant Claims," Discussion Paper 2019-033, Tilburg University, Center for Economic Research.
    29. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
    30. Massó, Jordi & Nicolò, Antonio & Sen, Arunava & Sharma, Tridib & Ülkü, Levent, 2015. "On cost sharing in the provision of a binary and excludable public good," Journal of Economic Theory, Elsevier, vol. 155(C), pages 30-49.
    31. Marco Rogna, 2022. "The Burning Coalition Bargaining Model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 735-768, October.
    32. Javier Perote & Juan Perote-Peña & Marc Vorsatz, 2015. "Strategic behavior in regressions: an experimental study," Theory and Decision, Springer, vol. 79(3), pages 517-546, November.
    33. Athanasoglou, Stergios, 2019. "Solidarity and efficiency in preference aggregation: A tale of two rules," Games and Economic Behavior, Elsevier, vol. 118(C), pages 126-140.
    34. Sidartha Gordon, 2014. "Unanimity in Attribute-Based Preference Domains," SciencePo Working papers Main hal-01061994, HAL.
    35. Juan Moreno-Ternero & John E. Roemer, 2004. "Impartiality and Priority. Part 2: A Characterization with Solidarity," Cowles Foundation Discussion Papers 1477B, Cowles Foundation for Research in Economics, Yale University, revised May 2005.
    36. Driesen, Bram, 2016. "Truncated Leximin solutions," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 79-87.
    37. GORDON, Sidartha, 2006. "Public Decisions: Solidarity and the Status Quo," Cahiers de recherche 16-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    38. Yengin Duygu, 2012. "Characterizing Welfare-egalitarian Mechanisms with Solidarity When Valuations are Private Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-35, April.
    39. Moreno, Bernardo, 2002. "Single-peaked preferences, endowments and population-monotonicity," Economics Letters, Elsevier, vol. 75(1), pages 87-95, March.
    40. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    41. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2012. "Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games," Tinbergen Institute Discussion Papers 12-136/II, Tinbergen Institute.
    42. Manjunath, Vikram, 2012. "When too little is as good as nothing at all: Rationing a disposable good among satiable people with acceptance thresholds," Games and Economic Behavior, Elsevier, vol. 74(2), pages 576-587.
    43. Takaaki Abe & Shuige Liu, 2019. "Monotonic core allocation paths for assignment games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 557-573, December.
    44. Yajing Chen, 2017. "New axioms for deferred acceptance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 393-408, February.
    45. Harless, Patrick, 2014. "A School Choice Compromise: Between Immediate and Deferred Acceptance," MPRA Paper 61417, University Library of Munich, Germany.
    46. Rogna, Marco, 2021. "The central core and the mid-central core as novel set-valued and point-valued solution concepts for transferable utility coalitional games," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 1-11.
    47. Fuhito Kojima & M. Utku Ünver, 2010. "The 'Boston' School-Choice Mechanism," Boston College Working Papers in Economics 729, Boston College Department of Economics, revised 08 Oct 2010.
    48. Sidartha Gordon, 2014. "Unanimity in Attribute-Based Preference Domains," SciencePo Working papers hal-01061994, HAL.
    49. Stergios, Athanasoglou, 2017. "Solidarity and efficiency in preference aggregation: a tale of two rules," Working Papers 390, University of Milano-Bicocca, Department of Economics, revised Nov 2018.
    50. Kalai, Ehud & Samet, Dov, 1985. "Monotonic Solutions to General Cooperative Games," Econometrica, Econometric Society, vol. 53(2), pages 307-327, March.
    51. Ehud Kalai, 1983. "Solutions to the Bargaining Problem," Discussion Papers 556, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    52. Patrick Harless, 2015. "Reaching consensus: solidarity and strategic properties in binary social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 97-121, June.
    53. Shinji Ohseto, 2010. "Serial Mechanisms For The Provision Of An Excludable Public Good," The Japanese Economic Review, Japanese Economic Association, vol. 61(4), pages 507-516, December.
    54. Balakrishnan, P.V. (Sundar) & Gómez, Juan Camilo & Vohra, Rakesh V., 2011. "The Tempered Aspirations solution for bargaining problems with a reference point," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 144-150.
    55. René Brink & Youngsub Chun, 2012. "Balanced consistency and balanced cost reduction for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.

  61. Thomson, William, 1982. "An informationally efficient equity criterion," Journal of Public Economics, Elsevier, vol. 18(2), pages 243-263, July.

    Cited by:

    1. Chiara Donnini & Maria Laura Pesce, 2021. "Fairness and Formation Rules of Coalitions," CSEF Working Papers 624, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 24 May 2023.
    2. Maniquet, Francois, 2001. "On decomposable exchange rules," Economics Letters, Elsevier, vol. 70(3), pages 375-380, March.
    3. JU, Biung-Ghi & MORENO-TERNERO, Juan, 2014. "Fair allocation of disputed properties," LIDAM Discussion Papers CORE 2014024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2016. "Entitlement theory of justice and end-state fairness in the allocation of goods," UMASS Amherst Economics Working Papers 2016-14, University of Massachusetts Amherst, Department of Economics.
    5. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    6. Chiara Donnini & Marialaura Pesce, 2021. "Fairness and fuzzy coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1033-1052, December.
    7. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    8. Jose Aizpurua & Antonio Manresa, 1994. "A decentralized and informationally efficient mechanism realizing fair outcomes in economies with public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 141-158, December.
    9. Laurence Kranich, 1999. "Measuring Opportunity Inequality with Monetary Transfers," Discussion Papers 99-02, University at Albany, SUNY, Department of Economics.
    10. Shinji Yamashige, 1995. "Fairness in Markets and Government Policies," Working Papers yamashig-95-03, University of Toronto, Department of Economics.
    11. Kranich, Laurence, 2015. "Equal shadow wealth: A new concept of fairness in exchange economies," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 110-117.
    12. Corchon, Luis C. & Iturbe-Ormaetxe, Inigo, 2001. "A Proposal to Unify Some Concepts in the Theory of Fairness," Journal of Economic Theory, Elsevier, vol. 101(2), pages 540-571, December.
    13. Chiara Donnini & Armando Sacco, 2024. "Social equity in international environmental agreements," Journal of Global Optimization, Springer, vol. 90(1), pages 261-291, September.
    14. Susumu Cato, 2018. "Choice functions and weak Nash axioms," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 159-176, December.

  62. Thomson, William, 1981. "A class of solutions to bargaining problems," Journal of Economic Theory, Elsevier, vol. 25(3), pages 431-441, December.

    Cited by:

    1. Rudolf Vetschera & Michael Filzmoser & Ronald Mitterhofer, 2014. "An Analytical Approach to Offer Generation in Concession-Based Negotiation Processes," Group Decision and Negotiation, Springer, vol. 23(1), pages 71-99, January.
    2. Carlos Alós-Ferrer & Jaume García-Segarra & Miguel Ginés-Vilar, 2018. "Anchoring on Utopia: a generalization of the Kalai–Smorodinsky solution," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 141-155, October.
    3. Xu, Yongsheng & Yoshihara, Naoki, 2013. "Rationality and solutions to nonconvex bargaining problems: Rationalizability and Nash solutions," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 66-70.
    4. Anna Bogomolnaia & Ron Holzman & Hervé Moulin, 2021. "Worst Case in Voting and Bargaining," Documents de travail du Centre d'Economie de la Sorbonne 21012, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    5. Carmen Herrero, 1997. "Endogenous reference points and the adjusted proportional solution for bargaining problems with claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 113-119.
    6. Hom M Pant, 1996. "Endogenous Behaviour of the Tariff Rate in a Political Economy," International Trade 9609001, University Library of Munich, Germany, revised 01 Oct 1996.
    7. Bogomolnaia, Anna & Holzman, Ron & Moulin, Hervé, 2023. "On guarantees, vetoes and random dictators," Theoretical Economics, Econometric Society, vol. 18(1), January.
    8. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    9. Rausser, Gordon C. & de Gorter, Harry, 1988. "Endogenizing Policy In Models Of Agricultural Markets," 1988 Annual Meeting, August 1-3, Knoxville, Tennessee 270460, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Anna bogomolnaia Ron Holzman Herve Moulin, 2021. "Wost Case in Voting and Bargaining," Papers 2104.02316, arXiv.org.
    11. Marco Mariotti, 2003. "Even Allocations For Generalised Rationing Problems," Working Papers. Serie AD 2003-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    12. Vartiainen, Hannu, 2007. "Collective choice with endogenous reference outcome," Games and Economic Behavior, Elsevier, vol. 58(1), pages 172-180, January.
    13. Loehman, Edna & Dinar, Ariel, 1992. "Cooperative Technology Solutions to Externality Problems: The Case of Irrigation Water," Working Papers 232418, University of California, Davis, Department of Agricultural and Resource Economics.
    14. Irem Bozbay & Franz Dietrich & Hans Peters, 2012. "Bargaining with endogenous disagreement: the extended Kalai-Smorodinsky solution," Post-Print halshs-00977992, HAL.
    15. Jaume García Segarra & Miguel Ginés Vilar, 2011. "Weighted Proportional Losses Solution," ThE Papers 10/21, Department of Economic Theory and Economic History of the University of Granada..
    16. Khan, Abhimanyu, 2022. "Expected utility versus cumulative prospect theory in an evolutionary model of bargaining," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    17. Younghwan In, 2008. "On the relevance of alternatives in bargaining: generalized average pay-off solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 251-264, June.
    18. Joan Esteban & Jozsef Sakovics, 1999. "Why do lions get the lion's share? A Hobbesian theory of agreements," Edinburgh School of Economics Discussion Paper Series 37, Edinburgh School of Economics, University of Edinburgh.
    19. Emin Karagözoğlu & Kerim Keskin, 2018. "Endogenous reference points in bargaining," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 283-295, October.
    20. Beghin, John C. & Karp, Larry S., 1988. "A Game Theoretic Model Of Agricultural And Food Price Policies In Senegal," 1988 Annual Meeting, August 1-3, Knoxville, Tennessee 270316, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    21. Emin Karagözoğlu & Kerim Keskin & Elif Özcan-Tok, 2019. "Between anchors and aspirations: a new family of bargaining solutions," Review of Economic Design, Springer;Society for Economic Design, vol. 23(1), pages 53-73, June.
    22. Naeve-Steinweg, E., 2004. "The averaging mechanism," Games and Economic Behavior, Elsevier, vol. 46(2), pages 410-424, February.

  63. Thomson, William, 1981. "Nash's Bargaining Solution and Utilitarian Choice Rules," Econometrica, Econometric Society, vol. 49(2), pages 535-538, March.

    Cited by:

    1. Inci, Eren & Barlo, Mehmet, 2010. "Banks versus venture capital when the venture capitalist values private benefits of control," MPRA Paper 25566, University Library of Munich, Germany.
    2. Claus-Jochen Haake & Thomas Streck, 2023. "Distortion through modeling asymmetric bargaining power," Working Papers CIE 155, Paderborn University, CIE Center for International Economics.
    3. Barlo, Mehmet & Ayca, Ozdogan, 2012. "Team beats collusion," MPRA Paper 37449, University Library of Munich, Germany.
    4. Clark, Derek, 1995. "Priority setting in health care: An axiomatic bargaining approach," Journal of Health Economics, Elsevier, vol. 14(3), pages 345-360, August.
    5. Xue, Licun, 2008. "The bargaining within," Economics Letters, Elsevier, vol. 101(2), pages 145-147, November.
    6. Claus-Jochen Haake & Thorsten Upmann & Papatya Duman, 2020. "Wage Bargaining and Employment Revisited: Separability and Efficiency in Collective Bargaining," CESifo Working Paper Series 8422, CESifo.
    7. Claus‐Jochen Haake & Thorsten Upmann & Papatya Duman, 2023. "Wage bargaining and employment revisited: separability and efficiency in collective bargaining," Scandinavian Journal of Economics, Wiley Blackwell, vol. 125(2), pages 403-440, April.
    8. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    9. Alos-Ferrer, Carlos & Ritzberger, Klaus, 2017. "Multi-Lateral Strategic Bargaining Without Stationarity," Economics Series 332, Institute for Advanced Studies.
    10. Claus-Jochen Haake & Thorsten Upmann & Papatya Duman, 2019. "The Decomposability of the Nash Bargaining Solution in Labor Markets," Working Papers CIE 128, Paderborn University, CIE Center for International Economics.
    11. Claus-Jochen Haake & Cheng-Zhong Qin, 2018. "On unification of solutions to the bargaining problem," Working Papers CIE 113, Paderborn University, CIE Center for International Economics.

  64. Thomson, William, 1980. "Two characterizations of the Raiffa solution," Economics Letters, Elsevier, vol. 6(3), pages 225-231.

    Cited by:

    1. Peter Roosenboom & Tjalling Van Der Goot, 2003. "Takeover Defences and IPO Firm Value in the Netherlands," European Financial Management, European Financial Management Association, vol. 9(4), pages 485-511, December.
    2. Youngsub Chun, 2020. "Some Impossibility Results on the Converse Consistency Principle in Bargaining," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 59-65, November.
    3. Omer F. Baris, 2018. "Timing effect in bargaining and ex ante efficiency of the relative utilitarian solution," Theory and Decision, Springer, vol. 84(4), pages 547-556, June.
    4. Yoshihara, Naoki, 2003. "Characterizations of bargaining solutions in production economies with unequal skills," Journal of Economic Theory, Elsevier, vol. 108(2), pages 256-285, February.
    5. Clark, Derek, 1995. "Priority setting in health care: An axiomatic bargaining approach," Journal of Health Economics, Elsevier, vol. 14(3), pages 345-360, August.
    6. Chang, Chih & Liang, Meng-Yu, 1998. "A characterization of the lexicographic Kalai-Smorodinsky solution for n=3," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 307-319, May.
    7. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
    8. Driesen, Bram, 2016. "Truncated Leximin solutions," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 79-87.

  65. Thomson, William, 1979. "Eliciting production possibilities from a well-informed manager," Journal of Economic Theory, Elsevier, vol. 20(3), pages 360-380, June.

    Cited by:

    1. Norde, Henk & Voorneveld, Mark, 2019. "Feasible best-response correspondences and quadratic scoring rules," SSE Working Paper Series in Economics 2019:2, Stockholm School of Economics.
    2. Melumad, Nahum D. & Reichelstein, Stefan, 1989. "Value of communication in agencies," Journal of Economic Theory, Elsevier, vol. 47(2), pages 334-368, April.
    3. Borgonovo, Emanuele & Hazen, Gordon B. & Jose, Victor Richmond R. & Plischke, Elmar, 2021. "Probabilistic sensitivity measures as information value," European Journal of Operational Research, Elsevier, vol. 289(2), pages 595-610.
    4. Steven Kou & Xianhua Peng, 2014. "On the Measurement of Economic Tail Risk," Papers 1401.4787, arXiv.org, revised Aug 2015.
    5. Wang, Ruodu & Ziegel, Johanna F., 2015. "Elicitable distortion risk measures: A concise proof," Statistics & Probability Letters, Elsevier, vol. 100(C), pages 172-175.
    6. Tobias Fissler & Michael Merz & Mario V. Wuthrich, 2021. "Deep Quantile and Deep Composite Model Regression," Papers 2112.03075, arXiv.org.
    7. Stefan Reichelstein, 1982. "Incentives in Government Contracts," Discussion Papers 522S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    9. Steven Kou & Xianhua Peng, 2016. "On the Measurement of Economic Tail Risk," Operations Research, INFORMS, vol. 64(5), pages 1056-1072, October.
    10. Natalia Nolde & Johanna F. Ziegel, 2016. "Elicitability and backtesting: Perspectives for banking regulation," Papers 1608.05498, arXiv.org, revised Feb 2017.
    11. Yael Grushka-Cockayne & Kenneth C. Lichtendahl Jr. & Victor Richmond R. Jose & Robert L. Winkler, 2017. "Quantile Evaluation, Sensitivity to Bracketing, and Sharing Business Payoffs," Operations Research, INFORMS, vol. 65(3), pages 712-728, June.
    12. Gneiting, Tilmann, 2011. "Quantiles as optimal point forecasts," International Journal of Forecasting, Elsevier, vol. 27(2), pages 197-207, April.
    13. Christopher P. Chambers & Nicolas S. Lambert, 2021. "Dynamic Belief Elicitation," Econometrica, Econometric Society, vol. 89(1), pages 375-414, January.
    14. Michel Mougeot & Florence Naegelen, 1988. "Analyse micro-économique du Code des marchés publics," Revue Économique, Programme National Persée, vol. 39(4), pages 725-752.
    15. Victor Richmond R. Jose, 2017. "Percentage and Relative Error Measures in Forecast Evaluation," Operations Research, INFORMS, vol. 65(1), pages 200-211, February.
    16. Tsakas, Elias, 2018. "Robust scoring rules," Research Memorandum 023, Maastricht University, Graduate School of Business and Economics (GSBE).
    17. Spring, Konstantin, 2021. "Backtesting the Expected Shortfall," Junior Management Science (JUMS), Junior Management Science e. V., vol. 6(3), pages 590-636.
    18. Gneiting, Tilmann, 2011. "Making and Evaluating Point Forecasts," Journal of the American Statistical Association, American Statistical Association, vol. 106(494), pages 746-762.
    19. Fissler, Tobias & Merz, Michael & Wüthrich, Mario V., 2023. "Deep quantile and deep composite triplet regression," Insurance: Mathematics and Economics, Elsevier, vol. 109(C), pages 94-112.
    20. Jean-Jacques Laffont, 1980. "Théorie des incitations : un exemple introductif," Working Papers hal-01527220, HAL.
    21. Ruodu Wang & Johanna F. Ziegel, 2014. "Distortion Risk Measures and Elicitability," Papers 1405.3769, arXiv.org, revised May 2014.
    22. Fabio Bellini & Ilia Negri & Mariya Pyatkova, 2019. "Backtesting VaR and expectiles with realized scores," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 28(1), pages 119-142, March.
    23. Werner Ehm & Tilmann Gneiting & Alexander Jordan & Fabian Krüger, 2016. "Of quantiles and expectiles: consistent scoring functions, Choquet representations and forecast rankings," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(3), pages 505-562, June.
    24. Gneiting, Tilmann, 2011. "Quantiles as optimal point forecasts," International Journal of Forecasting, Elsevier, vol. 27(2), pages 197-207.
    25. Victor Richmond R. Jose, 2017. "Percentage and Relative Error Measures in Forecast Evaluation," Operations Research, INFORMS, vol. 65(1), pages 200-211, February.
    26. Yen, Yu-Min & Yen, Tso-Jung, 2021. "Testing forecast accuracy of expectiles and quantiles with the extremal consistent loss functions," International Journal of Forecasting, Elsevier, vol. 37(2), pages 733-758.

Chapters

  1. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.

    Cited by:

    1. Marc Fleurbaey & François Maniquet, 2017. "Fairness and well-being measurement," LIDAM Reprints CORE 2910, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Juan D. Moreno-Ternero & John E. Roemer, 2011. "A common ground for resource and welfare egalitarianism," Working Papers 11.12, Universidad Pablo de Olavide, Department of Economics.
    3. Kranich, Laurence, 2020. "Resource-envy-free and efficient allocations: A new solution for production economies with dedicated factors," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 1-7.
    4. T Hayashi & R Jain & V Korpela & M Lombardi, 2020. "Behavioral Strong Implementation," IEAS Working Paper : academic research 20-A002, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    5. HOUGAARD, Jens Leth & MORENO-TERNERO, Juan D. & OSTERDAL, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," LIDAM Reprints CORE 2399, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    7. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Monotonicity in sharing the revenues from broadcasting sports leagues," MPRA Paper 105643, University Library of Munich, Germany.
    8. David Pérez-Castrillo & Chaoran Sun, 2021. "The Proportional Ordinal Shapley Solution for Pure Exchange Economies," Working Papers 1274, Barcelona School of Economics.
    9. Christopher P. Chambers & Juan D. Moreno-Ternero, 2021. "Bilateral Redistribution," Working Papers 21.07, Universidad Pablo de Olavide, Department of Economics.
    10. François Maniquet, 2017. "De chacun selon ses capacités à chacun selon ses besoins, ou (même) plus, s’il le souhaite," Revue économique, Presses de Sciences-Po, vol. 68(1), pages 119-129.
    11. Ricardo Martínez & Juan D Moreno Ternero, 2022. "An axiomatic approach towards pandemic performance indicators," ThE Papers 22/12, Department of Economic Theory and Economic History of the University of Granada..
    12. Korpela, Ville, 2018. "Procedurally fair implementation under complete information," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 25-31.
    13. Piacquadio, Paolo G., 2015. "The Ethics of Intergenerational Risk," Memorandum 15/2015, Oslo University, Department of Economics.
    14. Figueiredo, Erik Alencar de & Annegues, Ana Claudia & Souza, Wallace Patrick Santos de Farias, 2015. "Determinants of unfair inequality in Brazil, 1995 and 2009," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), April.
    15. Zhang, Jun, 2020. "When are efficient and fair assignment mechanisms group strategy-proof?," Games and Economic Behavior, Elsevier, vol. 119(C), pages 251-266.
    16. Abizada, Azar & Chen, Siwei, 2014. "A characterization of the uniform rule based on new robustness properties," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 80-85.
    17. Piacquadio, Paolo G., 2014. "Intergenerational egalitarianism," Journal of Economic Theory, Elsevier, vol. 153(C), pages 117-127.
    18. SEGAL-HALEVI, Erel & NITZAN, Shmuel, 2018. "Fair Cake-Cutting among Families," Discussion paper series HIAS-E-79, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    19. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
    20. Tanguy Isaac & Paolo Piacquadio, 2015. "Equity and efficiency in an overlapping generation model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 549-565, March.
    21. Dall’Aglio, Marco, 2023. "Fair division of goods in the shadow of market values," European Journal of Operational Research, Elsevier, vol. 307(2), pages 785-801.
    22. Heo, Eun Jeong, 2014. "Probabilistic assignment problem with multi-unit demands: A generalization of the serial rule and its characterization," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 40-47.
    23. Cho, Wonki Jo, 2022. "How to add apples and oranges: Aggregating performances of different nature," Games and Economic Behavior, Elsevier, vol. 131(C), pages 222-244.
    24. Susumu Cato & Adrien Lutz, 2018. "Kenneth Arrow, moral obligations, and public policies," Working Papers halshs-01973898, HAL.
    25. Ruben Juarez & Kohei Nitta & Miguel Vargas, 2020. "Profit-sharing and efficient time allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 817-846, October.
    26. Zhang, Jun, 2019. "Efficient and fair assignment mechanisms are strongly group manipulable," Journal of Economic Theory, Elsevier, vol. 180(C), pages 167-177.
    27. Sophie Bade & Erel Segal-Halevi, 2018. "Fairness for Multi-Self Agents," Papers 1811.06684, arXiv.org, revised Apr 2022.
    28. Iftah Gamzu & Danny Segev, 2019. "A polynomial-time approximation scheme for the airplane refueling problem," Journal of Scheduling, Springer, vol. 22(1), pages 119-135, February.
    29. Cornilly, Dries & Puccetti, Giovanni & Rüschendorf, Ludger & Vanduffel, Steven, 2022. "Fair allocation of indivisible goods with minimum inequality or minimum envy," European Journal of Operational Research, Elsevier, vol. 297(2), pages 741-752.
    30. Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
    31. Basteck, Christian, 2018. "Fair solutions to the random assignment problem," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 163-172.
    32. Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
    33. Huesmann, Katharina & Wambach, Achim, 2020. "Constraints on Matching Markets Based on Moral Concerns," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224636, Verein für Socialpolitik / German Economic Association.
    34. Toyotaka Sakai, 2013. "Axiomatizations of second price auctions with a reserve price," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(3), pages 255-265, September.

  2. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284, Elsevier.
    See citations under working paper version above.
  3. W. Thomson, 1966. "Collection and Use of Job Vacancy Data in Canada," NBER Chapters, in: The Measurement and Interpretation of Job Vacancies, pages 173-194, National Bureau of Economic Research, Inc.

    Cited by:

    1. Farm, Ante, 2003. "Vacancies, Hirings, and the Duration Function," Working Paper Series 2/2003, Stockholm University, Swedish Institute for Social Research.
    2. Farm, Ante, 2004. "A Theory of Vacancies," Working Paper Series 1/2005, Stockholm University, Swedish Institute for Social Research.
    3. Farm, Ante, 2000. "Job Openings, Hirings, and Unmet Demand: A New Approach to the Matching Function and the Beveridge Curve," Working Paper Series 8/2000, Stockholm University, Swedish Institute for Social Research.

Books

  1. William Thomson (ed.), 2010. "Bargaining and the Theory of Cooperative Games: John Nash and Beyond," Books, Edward Elgar Publishing, number 13317.

    Cited by:

    1. Kapeller, Jakob & Steinerberger, Stefan, 2017. "Stability, fairness and random walks in the bargaining problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 60-71.
    2. William Thomson, 2020. "Reconciling Consistency and Continuity: A Bounded-Population Characterization of the Nash Bargaining Solution," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 43-57, November.
    3. Carlos Alós-Ferrer & Jaume García-Segarra & Miguel Ginés-Vilar, 2018. "Anchoring on Utopia: a generalization of the Kalai–Smorodinsky solution," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 141-155, October.
    4. L'Haridon, Olivier & Malherbet, Franck & Pérez-Duarte, Sébastien, 2010. "Does Bargaining Matter in the Small Firm Matching Model?," IZA Discussion Papers 5181, Institute of Labor Economics (IZA).
    5. Radim Valenčík & Ondřej Černík, 2021. "The Inequality In Society And A Multipoint Extension Of Nash Bargaining Problem," Economy & Business Journal, International Scientific Publications, Bulgaria, vol. 15(1), pages 221-232.
    6. Omer F. Baris, 2018. "Timing effect in bargaining and ex ante efficiency of the relative utilitarian solution," Theory and Decision, Springer, vol. 84(4), pages 547-556, June.
    7. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    8. Spinnewijn, Johannes & Spinnewyn, Frans, 2015. "Revising claims and resisting ultimatums in bargaining problems," LSE Research Online Documents on Economics 66197, London School of Economics and Political Science, LSE Library.
    9. Radim Valenčík & Benedikt Frank & Bastian Schulz, 2022. "Conflict Analysis Tools In Situations Related To Nash'S Bargaining Problem," Economy & Business Journal, International Scientific Publications, Bulgaria, vol. 16(1), pages 293-305.
    10. I. Contreras & S. Lozano & M. A. Hinojosa, 2021. "A bargaining approach to determine common weights in DEA," Operational Research, Springer, vol. 21(3), pages 2181-2201, September.
    11. Driesen, Bram, 2016. "Truncated Leximin solutions," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 79-87.
    12. Marlies Ahlert & Katharina Friederike Sträter, 2016. "Refining Raiffa – Aspiration Adaptation within the Zone of Possible Agreements," German Economic Review, Verein für Socialpolitik, vol. 17(3), pages 298-315, August.
    13. Petr Mach & Jan Pokorný & Radim Valenčík, 2023. "Analysis Tools Of Positional Investments And The Ultimatum Game," Economy & Business Journal, International Scientific Publications, Bulgaria, vol. 17(1), pages 166-180.
    14. Barry Nalebuff, 2021. "A Perspective-Invariant Approach to Nash Bargaining," Management Science, INFORMS, vol. 67(1), pages 577-593, January.

  2. Thomson,William & Lensberg,Terje, 2006. "Axiomatic Theory of Bargaining with a Variable Number of Agents," Cambridge Books, Cambridge University Press, number 9780521027038, November.

    Cited by:

    1. Amand, Marnix & Chéron, Arnaud & Pelgrin, Florian & Terriau, Anthony, 2023. "Soccer labour market equilibrium and efficient training of players," European Economic Review, Elsevier, vol. 156(C).
    2. Adam Kalai & Ehud Kalai, 2011. "Cooperation in Strategic Games Revisited," Discussion Papers 1512, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. William Thomson, 2020. "Reconciling Consistency and Continuity: A Bounded-Population Characterization of the Nash Bargaining Solution," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 43-57, November.
    4. Engwerda, J.C., 2006. "On the Sensitivity Matrix of the Nash Bargaining Solution," Other publications TiSEM 1c9386df-f597-4d04-89e1-9, Tilburg University, School of Economics and Management.
    5. Ching-jen Sun, 2018. "The bargaining correspondence: when Edgeworth meets Nash," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 337-359, August.
    6. Youngsub Chun, 2020. "Some Impossibility Results on the Converse Consistency Principle in Bargaining," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 59-65, November.
    7. Jerry Green, 2005. "Compensatory transfers in two-player decision problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 159-180, June.
    8. Calvo, Emilio, 2006. "Random Marginal and Random Removal values," MPRA Paper 142, University Library of Munich, Germany.
    9. Suh, Sang-Chul & Wen, Quan, 2006. "Multi-agent bilateral bargaining and the Nash bargaining solution," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 61-73, February.
    10. Iturbe-Ormaetxe, Inigo & Vazquez, Jorge Nieto, 1996. "A stable and consistent solution to distribution problems," Economics Letters, Elsevier, vol. 50(2), pages 243-249, February.
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    1. Levy, Daniel & Snir, Avichai, 2022. "Potterian Economics," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 1, pages 1-32.
    2. Ofer H. Azar, 2006. "The Academic Review Process: How Can We Make it More Efficient?," The American Economist, Sage Publications, vol. 50(1), pages 37-50, March.
    3. Ofer H. Azar, 2005. "The Review Process in Economics: Is It Too Fast?," Southern Economic Journal, John Wiley & Sons, vol. 72(2), pages 482-491, October.
    4. Ofer H. Azar, 2006. "Evolution of Social Norms with Heterogeneous Preferences: A General Model and an Application to the Academic Review Process," Working Papers 0602, Ben-Gurion University of the Negev, Department of Economics.
    5. Emily Chamlee-Wright & Joshua Hall, 2013. "Some Brief Syllabus Advice for the Young Economist," Working Papers 13-12, Department of Economics, West Virginia University.
    6. Jessica Wolpaw Reyes, 2010. "Teaching the Art of Economic Research in a Senior Seminar," The American Economist, Sage Publications, vol. 55(2), pages 111-123, November.
    7. Voxi Heinrich S. Amavilah, 2004. "Determinants of Economic Growth Across Embedded Economies: A Transformational Analogy of Mining Population for Human Capital," Development and Comp Systems 0402001, University Library of Munich, Germany.
    8. Ma, Ching-to Albert, 2007. "A Journey for Your Beautiful Mind: Economics Graduate Study and Research," Memorandum 20/2007, Oslo University, Department of Economics.
    9. William E. Becker & Peter E. Kennedy, 2006. "The Influence of Teaching on Research in Economics," Southern Economic Journal, John Wiley & Sons, vol. 72(3), pages 747-759, January.
    10. Elizabeth Perry-Sizemore & Steven A. Greenlaw, 2011. "Writing for Learning in Economics," Chapters, in: Gail M. Hoyt & KimMarie McGoldrick (ed.), International Handbook on Teaching and Learning Economics, chapter 12, Edward Elgar Publishing.
    11. Kazuhiro Ohnishi, 2007. "On The Payoff Representations Of Normal Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 477-482.
    12. Chekeny, Nixon S. & Misra, Sukant, 2024. "Responsible Conduct of Research for Graduate Students: What Should 69 They Know?," Applied Economics Teaching Resources (AETR), Agricultural and Applied Economics Association, vol. 6(3), October.
    13. Alexander Cotte Poveda, 2016. "Los métodos cuantitativos en Economía," Revista CIFE, Universidad Santo Tomás, July.

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