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Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked

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  1. 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.
  2. Bochet, Olivier & İlkılıç, Rahmi & Moulin, Hervé, 2013. "Egalitarianism under earmark constraints," Journal of Economic Theory, Elsevier, vol. 148(2), pages 535-562.
  3. Bochet, Olivier & Sakai, Toyotaka, 2010. "Secure implementation in allotment economies," Games and Economic Behavior, Elsevier, vol. 68(1), pages 35-49, January.
  4. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.
  5. Bergantiños, Gustavo & Massó, Jordi & Neme, Alejandro, 2015. "The division problem under constraints," Games and Economic Behavior, Elsevier, vol. 89(C), pages 56-77.
  6. 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.
  7. Michele Lombardi & Naoki Yoshihara, 2020. "Partially-honest Nash implementation: a full characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 871-904, October.
  8. Nicolò, Antonio & Yu, Yan, 2008. "Strategic divide and choose," Games and Economic Behavior, Elsevier, vol. 64(1), pages 268-289, September.
  9. 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.
  10. 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.
  11. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
  12. Ehlers, Lars, 2002. "On Fixed-Path Rationing Methods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 472-477, October.
  13. 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.
  14. Chun, Youngsub, 2003. "One-sided population monotonicity, separability, and the uniform rule," Economics Letters, Elsevier, vol. 78(3), pages 343-349, March.
  15. 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.
  16. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. Moulin, Herve, 1999. "Rationing a Commodity along Fixed Paths," Journal of Economic Theory, Elsevier, vol. 84(1), pages 41-72, January.
  23. 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.
  24. 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.
  25. 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.
  26. Nir Dagan, 1995. "Consistent solutions in exchange economies: A characterization of the price mechanism," Economics Working Papers 141, Department of Economics and Business, Universitat Pompeu Fabra.
  27. 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.
  28. Kazuhiko Hashimoto & Takuma Wakayama, 2021. "Fair reallocation in economies with single-peaked preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 773-785, September.
  29. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2018. "On societies choosing social outcomes, and their memberships: internal stability and consistency," Theory and Decision, Springer, vol. 84(1), pages 83-97, January.
  30. Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
  31. Carmen Herrero & Ricardo Martínez, 2011. "Allocation problems with indivisibilities when preferences are single-peaked," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 453-467, December.
  32. Arribillaga, R. Pablo & Massó, Jordi & Neme, Alejandro, 2023. "All sequential allotment rules are obviously strategy-proof," Theoretical Economics, Econometric Society, vol. 18(3), July.
  33. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan.
  34. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  35. 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.
  36. Moreno, Bernardo, 2002. "Single-peaked preferences, endowments and population-monotonicity," Economics Letters, Elsevier, vol. 75(1), pages 87-95, March.
  37. Kesten, Onur, 2006. "More on the uniform rule: Characterizations without Pareto optimality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 192-200, March.
  38. Abizada, Azar & Bó, Inácio, 2021. "Hiring from a pool of workers," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 576-591.
  39. 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.
  40. Kibris, Ozgur & Kucuksenel, Serkan, 2005. "Trade rules for uncleared markets," Working Papers 1232, California Institute of Technology, Division of the Humanities and Social Sciences.
  41. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2013. "A characterization of the uniform rule with several commodities and agents," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 871-911, March.
  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. 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).
  44. 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.
  45. 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.
  46. Juan Perote Peña, 2003. "Solidarity in Terms of Reciprocity," Economic Working Papers at Centro de Estudios Andaluces E2003/16, Centro de Estudios Andaluces.
  47. 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.
  48. 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.
  49. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," 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 6, pages 289-357, Elsevier.
  50. Bochet, Olivier & Tumennasan, Norovsambuu, 2020. "Dominance of truthtelling and the lattice structure of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 185(C).
  51. Masso, Jordi & Neme, Alejandro, 2001. "Maximal Domain of Preferences in the Division Problem," Games and Economic Behavior, Elsevier, vol. 37(2), pages 367-387, November.
  52. 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.
  53. 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.
  54. Abizada, Azar & Chen, Siwei, 2016. "House allocation when availability of houses may change unexpectedly," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 29-37.
  55. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
  56. 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.
  57. Thomson, William, 1997. "The Replacement Principle in Economies with Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 76(1), pages 145-168, September.
  58. Roy, Souvik & Sadhukhan, Soumyarup, 2020. "On the structure of division rules," MPRA Paper 104402, University Library of Munich, Germany.
  59. 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.
  60. 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.
  61. 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.
  62. Gong, Doudou & Dietzenbacher, Bas, 2024. "Equal treatment of unsatisfied agents," Research Memorandum 010, Maastricht University, Graduate School of Business and Economics (GSBE).
  63. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
  64. 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.
  65. Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
  66. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with voluntary participation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 371-406, March.
  67. 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.
  68. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.
  69. 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.
  70. 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.
  71. 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.
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