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The separability axiom and equal-sharing methods

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Cited by:

  1. repec:ebl:ecbull:v:3:y:2008:i:70:p:1-8 is not listed on IDEAS
  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. Pfingsten, Andreas, 1998. "Cheating by groups and cheating over time in surplus sharing problems," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 243-249, December.
  4. Youngsub Chun & Kazuo Nishimura & Makoto Yano, 2022. "Introduction to the special issue in honor of William Thomson," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 3-5, March.
  5. Mingming Leng & Chunlin Luo & Liping Liang, 2021. "Multiplayer Allocations in the Presence of Diminishing Marginal Contributions: Cooperative Game Analysis and Applications in Management Science," Management Science, INFORMS, vol. 67(5), pages 2891-2903, May.
  6. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
  7. 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.
  8. 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.
  9. 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.
  10. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
  11. Calleja, Pedro & Llerena, Francesc, 2020. "Consistency, weak fairness, and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 28-33.
  12. René Brink & Yukihiko Funaki, 2025. "Combining the Shapley value and the equal division solution: an overview," Theory and Decision, Springer, vol. 99(1), pages 285-316, September.
  13. Hu, Cheng-Cheng & Tsay, Min-Hung & Yeh, Chun-Hsien, 2012. "Axiomatic and strategic justifications for the constrained equal benefits rule in the airport problem," Games and Economic Behavior, Elsevier, vol. 75(1), pages 185-197.
  14. Sylvain Béal & Eric Rémila & Philippe Solal, 2016. "Characterizations of Three Linear Values for TU Games by Associated Consistency: Simple Proofs Using the Jordan Normal Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-21, March.
  15. van den Brink, René & Rusinowska, Agnieszka, 2024. "Degree centrality, von Neumann–Morgenstern expected utility and externalities in networks," European Journal of Operational Research, Elsevier, vol. 319(2), pages 669-677.
  16. repec:ebl:ecbull:v:3:y:2007:i:41:p:1-5 is not listed on IDEAS
  17. 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.
  18. Kaminski, Marek M., 2000. "'Hydraulic' rationing," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 131-155, September.
  19. Calleja, Pere & Llerena Garrés, Francesc, 2015. "On the (in)compatibility of rationality, monotonicity and consistency for cooperative games," Working Papers 2072/247807, Universitat Rovira i Virgili, Department of Economics.
  20. Yushuang Mou & Wensheng Jia & Qiang Sun & Chao Zhang, 2025. "On Compromised Value for Cooperative Games with Graph Communication Structures," Journal of Optimization Theory and Applications, Springer, vol. 207(2), pages 1-18, November.
  21. Gong, Doudou & Dietzenbacher, Bas, 2025. "Core bound reduced games and consistency," Research Memorandum 002, Maastricht University, Graduate School of Business and Economics (GSBE).
  22. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Zhengxing Zou, 2021. "Balanced Externalities and the Proportional Allocation of Nonseparable Contributions," Tinbergen Institute Discussion Papers 21-024/II, Tinbergen Institute.
  23. Panfei Sun & Dongshuang Hou & Hao Sun & Theo Driessen, 2017. "Optimization Implementation and Characterization of the Equal Allocation of Nonseparable Costs Value," Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 336-352, April.
  24. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, vol. 54(1), pages 115-133, January.
  25. Yan-An Hwang & Yaw-Hwa Hsiao, 2007. "Internal Dividend, External Loss and Value," Economics Bulletin, AccessEcon, vol. 3(41), pages 1-5.
  26. Norman Kleinberg & Jeffrey Weiss, 2013. "On membership and marginal values," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 357-373, May.
  27. 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.
  28. Hou, Dongshuang & Lardon, Aymeric, 2020. "An Optimization Characterization of the upper optimal complaint value," Economics Letters, Elsevier, vol. 186(C).
  29. 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.
  30. Dongshuang Hou & Weibin Han & Genjiu Xu & Yifan Feng, 2024. "A generalization of the CIS value for cooperative cost games," 4OR, Springer, vol. 22(1), pages 17-30, March.
  31. 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.
  32. 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.
  33. Llerena Garrés, Francesc & Mauri Masdeu, Llúcia, 2014. "On reduced games and the lexmax solution," Working Papers 2072/237591, Universitat Rovira i Virgili, Department of Economics.
  34. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
  35. Claudio Zoli, 2012. "Characterizing Inequality Equivalence Criteria," Working Papers 32/2012, University of Verona, Department of Economics.
  36. Panfei Sun & Dongshuang Hou & Hao Sun & Hui Zhang, 2017. "Process and optimization implementation of the $$\alpha $$ α -ENSC value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 293-308, October.
  37. Yu-hsien Liao & Ling-Yun Chung & Po-hang Wu, 2015. "The EANSC: a weighted extension and axiomatization," Economics Bulletin, AccessEcon, vol. 35(1), pages 475-480.
  38. 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.
  39. Zijun Li & Fanyong Meng, 2023. "The α-Egalitarian Myerson value of games with communication structure," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(3), pages 311-338, June.
  40. Wenna Wang & Hao Sun & René Brink & Genjiu Xu, 2019. "The Family of Ideal Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1065-1086, March.
  41. 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).
  42. Dutta, Bhaskar & Ehlers, Lars & Kar, Anirban, 2010. "Externalities, potential, value and consistency," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2380-2411, November.
  43. Ling-Yun Chung & Yu-Hsien Liao & Wen-Ying Hsieh & Tsu-Yin Chen & Chen-Kun Lin, 2016. "Alternative Reductions and Axiomatizations of the Unit-Level-Core," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-15, December.
  44. 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.
  45. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Correction to: Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 99-99, July.
  46. Takaaki Abe, 2018. "Consistency and the core in games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 133-154, March.
  47. 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.
  48. 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.
  49. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2019. "Procedural and Optimization Implementation of the Weighted ENSC value," Post-Print halshs-01930832, HAL.
  50. Calvo, Emilio & Gutiérrez-López, Esther, 2021. "Recursive and bargaining values," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 97-106.
  51. repec:ebl:ecbull:v:3:y:2008:i:45:p:1-6 is not listed on IDEAS
  52. 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.
  53. Yan-An Hwang, 2013. "On the core: complement-reduced game and max-reduced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 339-355, May.
  54. 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.
  55. Jong-Chin Huang & Kelvin H.-C. Chen & Yu-Hsien Liao, 2025. "Resource Allocation in Multi-Objective Epidemic Management: An Axiomatic Analysis," Mathematics, MDPI, vol. 13(13), pages 1-20, July.
  56. 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.
  57. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Theo Driessen, 2018. "Compromise for the Per Capita Complaint: An Optimization Characterization of Two Equalitarian Values," GREDEG Working Papers 2018-13, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
  58. Stark, Oded & Kosiorowski, Grzegorz, 2026. "Cooperation under Comparison," Discussion Papers 396310, University of Bonn, Center for Development Research (ZEF).
  59. 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.
  60. Dietzenbacher, Bas & Yanovskaya, Elena, 2020. "Antiduality in exact partition games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 116-121.
  61. 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.
  62. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
  63. 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.
  64. Jun Zhang, 2025. "Consistent solutions to the allocation of indivisible objects with general endowments," Papers 2511.21155, arXiv.org, revised Dec 2025.
  65. María Victoria Gasca & Rémy Rigo-Mariani & Vincent Debusschere & Yousra Sidqi & Cédric Clastres, 2023. "Costs Allocation in Energy Communities: An Insight on Users’ Preferences," Post-Print hal-04431478, HAL.
  66. Zheng, Xiao-Xue & Li, Deng-Feng & Liu, Zhi & Jia, Fu & Lev, Benjamin, 2021. "Willingness-to-cede behaviour in sustainable supply chain coordination," International Journal of Production Economics, Elsevier, vol. 240(C).
  67. 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.
  68. Kaneko, Takuto & Nakada, Satoshi, 2025. "Nullified-game consistency and axiomatizations of the Core of TU-games with a fixed player set," Economics Letters, Elsevier, vol. 250(C).
  69. Chang, Chih & Hu, Cheng-Cheng, 2007. "Reduced game and converse consistency," Games and Economic Behavior, Elsevier, vol. 59(2), pages 260-278, May.
  70. Wenna Wang & Hao Sun & Rene (J.R.) van den Brink & Genjiu Xu, 2018. "The family of ideal values for cooperative games," Tinbergen Institute Discussion Papers 18-002/II, Tinbergen Institute.
  71. Zhengxing Zou & René Brink & Youngsub Chun & Yukihiko Funaki, 2021. "Axiomatizations of the proportional division value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 35-62, July.
  72. 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.
  73. Doudou Gong & Bas Dietzenbacher, 2026. "Core bound reduced games and consistency," International Journal of Game Theory, Springer;Game Theory Society, vol. 55(1), pages 1-18, June.
  74. Cuicui Feng & Guanqiong Ye & Jiangning Zeng & Jian Zeng & Qutu Jiang & Liuyue He & Yaowen Zhang & Zhenci Xu, 2023. "Sustainably developing global blue carbon for climate change mitigation and economic benefits through international cooperation," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
  75. 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.
  76. 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.
  77. Yu-Hsien Liao, 2008. "Consistency and the core for fuzzy non-transferable-utility games," Economics Bulletin, AccessEcon, vol. 3(45), pages 1-6.
  78. 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).
  79. Besner, Manfred, 2022. "The grand surplus value and repeated cooperative cross-games with coalitional collaboration," Journal of Mathematical Economics, Elsevier, vol. 102(C).
  80. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
  81. 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.
  82. Subiza, Begoña & Giménez-Gómez, José-Manuel & Peris, Josep E., 2025. "Cooperative TU-games: Dominance, stable sets, and the core revisited," Journal of Mathematical Economics, Elsevier, vol. 119(C).
  83. Serrano, Roberto, 1995. "Strategic bargaining, surplus sharing problems and the nucleolus," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 319-329.
  84. 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.
  85. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2019. "Cohesive efficiency in TU-games: Two extensions of the Shapley value," Working Papers 2019-03, CRESE.
  86. Yan-An Hwang & Yu-Hsien Liao, 2020. "A Solution Concept and Its Axiomatic Results under Non-Transferable-Utility and Multi-Choice Situations," Mathematics, MDPI, vol. 8(9), pages 1-10, September.
  87. Yu-Hsien Liao, 2022. "A Weighted Solution Concept under Replicated Behavior," Mathematics, MDPI, vol. 11(1), pages 1-12, December.
  88. En-Cheng Chi & Yu-Hsien Liao, 2021. "Sustainable Usability Distribution Mechanisms under Multi-Attribute Sports Management Schemes," Sustainability, MDPI, vol. 13(3), pages 1-16, February.
  89. Chae, Suchan & Heidhues, Paul, 2004. "A group bargaining solution," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 37-53, July.
  90. Wenzhong Li & Genjiu Xu & René van den Brink, 2023. "A Union Self-evaluation Approach to Associated Consistency for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 199(3), pages 863-880, December.
  91. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2025. "Self-consistency for multi-valued solutions and reasonable outcomes," Journal of Mathematical Economics, Elsevier, vol. 120(C).
  92. Pérez-Castrillo, David & Sun, Chaoran, 2021. "Value-free reductions," Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
  93. Emilio Calvo Ramón & Esther Gutiérrez-López, 2022. "The equal collective gains value in cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 249-278, March.
  94. 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.
  95. Li Zhang & Genjiu Xu & Hao Sun & Wenzhong Li, 2024. "Cohesive players: characterizations of a subclass of efficient, symmetric, and linear values," Annals of Operations Research, Springer, vol. 332(1), pages 765-779, January.
  96. repec:hal:wpaper:halshs-01930832 is not listed on IDEAS
  97. Yu-Hsien Liao, 2008. "The Maximal Equal Allocation of Nonseparable Costs on Multi-Choice Games," Economics Bulletin, AccessEcon, vol. 3(70), pages 1-8.
  98. Takaaki Abe & Satoshi Nakada, 2018. "Generalized Potentials, Value, and Core," Discussion Paper Series DP2018-19, Research Institute for Economics & Business Administration, Kobe University.
  99. 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.
  100. 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).
  101. 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.
  102. 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.
  103. Ling-Yun Chung & Yu-Hsien Liao, 2014. "A Consistent Allocation Rule: Non-emptiness, Reductions, Domination and Axiomatization," Review of Economics & Finance, Better Advances Press, Canada, vol. 4, pages 61-74, November.
  104. Helga Habis & Dávid Csercsik, 2015. "Cooperation with Externalities and Uncertainty," Networks and Spatial Economics, Springer, vol. 15(1), pages 1-16, March.
  105. Camelia Bejan & Juan Gómez, 2009. "Core extensions for non-balanced TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 3-16, March.
  106. Yan-An Hwang & Yu-Hsien Liao, 2025. "A Resolution Under Interval Uncertainty," Mathematics, MDPI, vol. 13(5), pages 1-17, February.
  107. Yu-Hsien Liao, 2022. "Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations," Mathematics, MDPI, vol. 10(5), pages 1-7, February.
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