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The kernel of a cooperative game

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Cited by:

  1. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2015. "Is utility transferable? a revealed preference analysis," Theoretical Economics, Econometric Society, vol. 10(1), January.
  2. Guillermo Owen, 2010. "Michael Maschler’s bibliography," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 301-308, March.
  3. Francesc Llerena (Universitat Rovira i Virgili - CREIP) & Marina Nunez (Universitat de Barcelona) & Carles Rafels (Universitat de Barcelona), 2012. "An axiomatization of the nucleolus of the assignment game," Working Papers in Economics 286, Universitat de Barcelona. Espai de Recerca en Economia.
  4. Camelia Bejan & Juan Camilo GĂłmez & 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.
  5. Maria Montero & Martin Sefton & Ping Zhang, 2008. "Enlargement and the balance of power: an experimental study," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 69-87, January.
  6. 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).
  7. 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.
  8. Calleja, Pedro & Llerena, Francesc, 2020. "Consistency, weak fairness, and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 28-33.
  9. Montero, Maria, 2002. "Non-cooperative bargaining in apex games and the kernel," Games and Economic Behavior, Elsevier, vol. 41(2), pages 309-321, November.
  10. Junnosuke Shino & Shinichi Ishihara & Shimpei Yamauchi, 2022. "Shapley Mapping and Its Axiomatizations in n -Person Cooperative Interval Games," Mathematics, MDPI, vol. 10(21), pages 1-14, October.
  11. Doudou Gong & Bas Dietzenbacher & Hans Peters, 2022. "Reduced two-bound core games," Mathematical Methods of Operations Research, Springer;Gesellschaft fĂŒr Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 96(3), pages 447-457, December.
  12. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
  13. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2019. "Procedural and optimization implementation of the weighted ENSC value," Theory and Decision, Springer, vol. 87(2), pages 171-182, September.
  14. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, FundaciĂłn SEPI, vol. 29(2), pages 219-258, May.
  15. Armando Gomes, "undated". "A Theory of Negotiation and Formation of Coalition," CARESS Working Papres 99-12, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  16. Sanjith Gopalakrishnan & Daniel Granot & Frieda Granot, 2021. "Consistent Allocation of Emission Responsibility in Fossil Fuel Supply Chains," Management Science, INFORMS, vol. 67(12), pages 7637-7668, December.
  17. Dietzenbacher, Bas, 2019. "The Procedural Egalitarian Solution and Egalitarian Stable Games," Discussion Paper 2019-007, Tilburg University, Center for Economic Research.
  18. Maria Montero & Alex Possajennikov, 2021. "An Adaptive Model of Demand Adjustment in Weighted Majority Games," Games, MDPI, vol. 13(1), pages 1-17, December.
  19. Meinhardt, Holger Ingmar, 2020. "On the Replication of the Pre-Kernel and Related Solutions," MPRA Paper 102676, University Library of Munich, Germany.
  20. Takafumi Otsuka, 2020. "Egalitarian solution for games with discrete side payment," Papers 2003.10059, arXiv.org.
  21. H. Andrew Michener & Daniel J. Myers, 1998. "Probabilistic Coalition Structure Theories," Journal of Conflict Resolution, Peace Science Society (International), vol. 42(6), pages 830-860, December.
  22. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
  23. Rodica BrĂąnzei & TamĂĄs Solymosi & Stef Tijs, 2005. "Strongly essential coalitions and the nucleolus of peer group games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 447-460, September.
  24. Klijn, F. & Slikker, M. & Tijs, S.H. & Zarzuelo, J., 1998. "Characterizations of the Egalitarian Solution for Convex Games," Other publications TiSEM 0a127ca4-b1ae-47e7-a135-3, Tilburg University, School of Economics and Management.
  25. 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.
  26. Oriol Tejada & Carles Rafels, 2010. "Symmetrically multilateral-bargained allocations in multi-sided assignment markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 249-258, March.
  27. Natalia I. Naumova, 2022. "Some solutions for generalized games with restricted cooperation," Annals of Operations Research, Springer, vol. 318(2), pages 1077-1093, November.
  28. Roberto Burguet and Ramon Caminal, 2010. "Simultaneous Nash Bargaining with Consistent Beliefs," Working Papers 521, Barcelona School of Economics.
  29. Bloch, Francis & de Clippel, Geoffroy, 2010. "Cores of combined games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2424-2434, November.
  30. Grabisch, Michel & Sudhölter, Peter, 2018. "On a class of vertices of the core," Games and Economic Behavior, Elsevier, vol. 108(C), pages 541-557.
  31. 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.
  32. 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.
  33. Dutta, Bhaskar & Ehlers, Lars & Kar, Anirban, 2010. "Externalities, potential, value and consistency," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2380-2411, November.
  34. 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.
  35. Gong, Doudou & Dietzenbacher, Bas & Peters, Hans, 2023. "One-bound core games," Research Memorandum 003, Maastricht University, Graduate School of Business and Economics (GSBE).
  36. Meinhardt, Holger Ingmar, 2021. "Disentangle the Florentine Families Network by the Pre-Kernel," MPRA Paper 106482, University Library of Munich, Germany.
  37. Takayuki Oishi, 2020. "A generalization of Peleg’s representation theorem on constant-sum weighted majority games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 113-123, April.
  38. Ken‐Ichi Shimomura, 2022. "The bargaining set and coalition formation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 16-37, March.
  39. Luisa Carpente & Balbina Casas-MĂ©ndez & Ignacio GarcĂ­a-Jurado & Anne Nouweland, 2010. "The truncated core for games with upper bounds," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 645-656, October.
  40. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.
  41. Shin Kobayashi, 2021. "A Characterization of the Shapley Value based on “Equal Excess"," Working Papers 2120, Waseda University, Faculty of Political Science and Economics.
  42. Bennett, E. & van Damme, E.E.C., 1990. "Demand commitment bargaining : The case of apex games," Other publications TiSEM ef13c9a9-3db6-4939-96ef-5, Tilburg University, School of Economics and Management.
  43. repec:dpr:wpaper:1221 is not listed on IDEAS
  44. Dietzenbacher, Bas & Yanovskaya, Elena, 2020. "Antiduality in exact partition games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 116-121.
  45. Montero, M.P., 2002. "Two-Stage Bargaining with Reversible Coalitions : The Case of Apex Games," Discussion Paper 2002-26, Tilburg University, Center for Economic Research.
  46. Axel Ostmann & Holger Meinhardt, 2007. "Non-binding agreements and fairness in commons dilemma games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft fĂŒr Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 15(1), pages 63-96, March.
  47. Manfred Besner, 2020. "Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 193-212, June.
  48. Chal Sussangkarn, 1978. "Equilibrium Payoff Configurations for Cooperative Games with Transferability," Journal of Conflict Resolution, Peace Science Society (International), vol. 22(1), pages 121-141, March.
  49. Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Annals of Operations Research, Springer, vol. 204(1), pages 33-64, April.
  50. 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.
  51. Bas Dietzenbacher & Peter Sudhölter, 2022. "Hart–Mas-Colell consistency and the core in convex games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 413-429, June.
  52. Irinel Dragan, 2006. "The least square values and the shapley value for cooperative TU games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de EstadĂ­stica e InvestigaciĂłn Operativa, vol. 14(1), pages 61-73, June.
  53. Bahel, Eric, 2021. "Hyperadditive games and applications to networks or matching problems," Journal of Economic Theory, Elsevier, vol. 191(C).
  54. Rodica BrĂąnzei & Vito Fragnelli & Stef Tijs, 2002. "Tree-connected peer group situations and peer group games," Mathematical Methods of Operations Research, Springer;Gesellschaft fĂŒr Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(1), pages 93-106, March.
  55. Fatma Aslan & Papatya Duman & Walter Trockel, 2019. "Duality for General TU-games Redefined," Working Papers CIE 121, Paderborn University, CIE Center for International Economics.
  56. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2021. "Axiomatizations of Dutta-Ray’s egalitarian solution on the domain of convex games," Journal of Mathematical Economics, Elsevier, vol. 95(C).
  57. Yan-An Hwang & Yu-Hsien Liao, 2023. "Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore," Mathematics, MDPI, vol. 11(13), pages 1-12, June.
  58. PĂ©rez-Castrillo, David & Sun, Chaoran, 2021. "Value-free reductions," Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
  59. Lloyd S. Shapley, 1992. "Kernels of Replicated Market Games," UCLA Economics Working Papers 654, UCLA Department of Economics.
  60. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2018. "Procedural and Optimization Implementation of the Weighted ENSC value," Working Papers halshs-01930832, HAL.
  61. J. Arin & V. Feltkamp & M. Montero, 2015. "A bargaining procedure leading to the serial rule in games with veto players," Annals of Operations Research, Springer, vol. 229(1), pages 41-66, June.
  62. Yang, Guangjing & Sun, Hao, 2023. "The recursive nucleolus for partition function form games," Journal of Mathematical Economics, Elsevier, vol. 104(C).
  63. Yu-Hsien Liao, 2022. "Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations," Mathematics, MDPI, vol. 10(5), pages 1-7, February.
  64. Yan-An Hwang & Yu-Hsien Liao, 2022. "The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements," Mathematics, MDPI, vol. 10(5), pages 1-8, March.
  65. Mamoru Kaneko, 2020. "Expected utility theory with probability grids and preference formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 723-764, October.
  66. Naoki Watanabe & Shigeo Muto, 2008. "Stable profit sharing in a patent licensing game: general bargaining outcomes," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 505-523, December.
  67. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2018. "Procedural and Optimization Implementation of the Weighted ENSC Value," GREDEG Working Papers 2018-20, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université CÎte d'Azur, France.
  68. Funaki, Y. & Tijs, S.H. & BrĂąnzei, R., 2007. "Leximals, the Lexicore and the Average Lexicographic Value," Discussion Paper 2007-97, Tilburg University, Center for Economic Research.
  69. Álvarez-Mozos, Mikel & Ehlers, Lars, 2024. "Externalities and the (pre)nucleolus in cooperative games," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 10-15.
  70. Fatma Aslan & Papatya Duman & Walter Trockel, 2020. "Non-cohesive TU-games: Efficiency and Duality," Working Papers CIE 138, Paderborn University, CIE Center for International Economics.
  71. Rodica BrĂąnzei & Vito Fragnelli & Stef Tijs, 2002. "Tree-connected peer group situations and peer group games," Mathematical Methods of Operations Research, Springer;Gesellschaft fĂŒr Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(1), pages 93-106, March.
  72. Francesc Llerena & Cori Vilella, 2013. "An axiomatic characterization of the strong constrained egalitarian solution," Economics Bulletin, AccessEcon, vol. 33(2), pages 1438-1445.
  73. BrĂąnzei, R. & Tijs, S.H. & Timmer, J.B., 2000. "Collecting Information to improve Decision-Making," Other publications TiSEM 74fa171d-2799-4747-9c2e-7, Tilburg University, School of Economics and Management.
  74. Hou, Dongshuang & Lardon, Aymeric, 2020. "An Optimization Characterization of the upper optimal complaint value," Economics Letters, Elsevier, vol. 186(C).
  75. Takaaki Abe & Satoshi Nakada, 2023. "Core stability of the Shapley value for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(4), pages 523-543, May.
  76. Llerena GarrĂ©s, Francesc & Mauri Masdeu, LlĂșcia, 2014. "On reduced games and the lexmax solution," Working Papers 2072/237591, Universitat Rovira i Virgili, Department of Economics.
  77. Yang, Jian & Li, Jianbin, 2020. "Cooperative game with nondeterministic returns," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 123-140.
  78. Fatma Aslan & Papatya Duman & Walter Trockel, 2020. "Non-cohesive TU-games: Duality and P-core," Working Papers CIE 136, Paderborn University, CIE Center for International Economics.
  79. 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.
  80. Dietzenbacher, Bas & Borm, Peter & Hendrickx, Ruud, 2017. "The procedural egalitarian solution," Games and Economic Behavior, Elsevier, vol. 106(C), pages 179-187.
  81. Liu, Jia-Cai & Sheu, Jiuh-Biing & Li, Deng-Feng & Dai, Yong-Wu, 2021. "Collaborative profit allocation schemes for logistics enterprise coalitions with incomplete information," Omega, Elsevier, vol. 101(C).
  82. Zhang, Li & Xu, Genjiu & Sun, Hao & Li, Wenzhong, 2023. "Players’ dummification and the dummified egalitarian non-separable contribution value," Economics Letters, Elsevier, vol. 226(C).
  83. 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.
  84. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Theo Driessen, 2018. "Compromise for the per Capita Complaint: an optimization CharaCterization of two equalitarian values," Working Papers halshs-01931224, HAL.
  85. Mamoru Kaneko, 2019. "Expected Utility Theory with Probability Grids and Preference Formation," Working Papers 1902, Waseda University, Faculty of Political Science and Economics.
  86. Endre BjÞrndal & Kurt Jörnsten, 2010. "Flow sharing and bankruptcy games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 11-28, March.
  87. Aiche, Avishay & Griskin, Vladimir & Shitovitz, Benyamin, 2019. "The asymptotic kernel in TU production market games with symmetric big players and a uniform ocean of small players," Economics Letters, Elsevier, vol. 181(C), pages 107-110.
  88. 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.
  89. Llerena GarrĂ©s, Francesc & Mauri Masdeu, LlĂșcia, 2014. "A note on the Lorenz-maximal allocations in the imputation set," Working Papers 2072/228404, Universitat Rovira i Virgili, Department of Economics.
  90. Massimo Morelli & Maria Montero, 2001. "The Stable Demand Set General Characterization and Application to Majority Games," Working Papers 01-03, Ohio State University, Department of Economics.
  91. MOEYERSOMS, Julie & D'ALESSANDRO, Brian & PROVOST, Foster & MARTENS, David, 2017. "Attributing value in a data pooling setting for predictive modeling," Working Papers 2017009, University of Antwerp, Faculty of Business and Economics.
  92. Panfei Sun & Dongshuang Hou & Hao Sun, 2022. "Optimization implementation of solution concepts for cooperative games with stochastic payoffs," Theory and Decision, Springer, vol. 93(4), pages 691-724, November.
  93. Daniel Granot, 2010. "The reactive bargaining set for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 163-170, March.
  94. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2019. "Welfare egalitarianism in surplus-sharing problems and convex games," Discussion Papers on Economics 6/2019, University of Southern Denmark, Department of Economics.
  95. Pedro Calleja & Francesc Llerena & Peter Sudhölter, 2020. "Monotonicity and Weighted Prenucleoli: A Characterization Without Consistency," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 1056-1068, August.
  96. Luis Ruiz & Federico Valenciano & José Zarzuelo, 1998. "Some new results on least square values for TU games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 6(1), pages 139-158, June.
  97. 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.
  98. Alexander Karpov & Semyon Yurkov, 2012. "Generalized bankruptcy problem," HSE Working papers WP BRP 08/FE/2012, National Research University Higher School of Economics.
  99. Wenzhong Li & Genjiu Xu & Hao Sun, 2020. "Maximizing the Minimal Satisfaction—Characterizations of Two Proportional Values," Mathematics, MDPI, vol. 8(7), pages 1-17, July.
  100. Christoph Weissbart, 2018. "Decarbonization of Power Markets under Stability and Fairness: Do They Influence Efficiency?," ifo Working Paper Series 270, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
  101. Sauermann, Jan & Schwaninger, Manuel & Kittel, Bernhard, 2022. "Making and breaking coalitions: Strategic sophistication and prosociality in majority decisions," European Journal of Political Economy, Elsevier, vol. 71(C).
  102. 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.
  103. Mamoru Kaneko, 2020. "Toward a Resolution of the St.Petersburg Paradox," Working Papers 2014, Waseda University, Faculty of Political Science and Economics.
  104. Camelia Bejan & Juan GĂłmez, 2009. "Core extensions for non-balanced TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 3-16, March.
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