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On the Reduced Game Property and Its Converse

Citations

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Cited by:

  1. Peter Sudhölter & Jos A. M. Potters, 2001. "The semireactive bargaining set of a cooperative game," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 117-139.
  2. 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.
  3. Guni Orshan & Peter Sudhölter, 2012. "Nonsymmetric variants of the prekernel and the prenucleolus," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 809-828, November.
  4. 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.
  5. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
  6. Llerena, Francesc & Mauri, Llúcia, 2017. "On the existence of the Dutta–Ray’s egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 92-99.
  7. Yan-An Hwang & Chun-Hsien Yeh, 2012. "A characterization of the nucleolus without homogeneity in airport problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 355-364, February.
  8. 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.
  9. Roberto Serrano, 2007. "Nash program," Working Papers 2007-05, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
  10. Guni Orshan & Federico Valenciano & José M. Zarzuelo, 2003. "The Bilateral Consistent Prekernel, the Core, and NTU Bankruptcy Problems," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 268-282, May.
  11. Ehlers, Lars, 2007. "Von Neumann-Morgenstern stable sets in matching problems," Journal of Economic Theory, Elsevier, vol. 134(1), pages 537-547, May.
  12. 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.
  13. 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.
  14. Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.
  15. Anna Khmelnitskaya & Peter Sudhölter, 2013. "The prenucleolus and the prekernel for games with communication structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(2), pages 285-299, October.
  16. Arin Aguirre, Francisco Javier & Katsev, Ilya, 2011. "The SD-prenucleolus for TU games," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  17. Jean Derks & Hans Peters & Peter Sudhölter, 2014. "On extensions of the core and the anticore of transferable utility games," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 37-63, February.
  18. Doudou Gong & Bas Dietzenbacher & Hans Peters, 2022. "Reduced two-bound core games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 96(3), pages 447-457, December.
  19. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics.
  20. E. Calvo & E. Gutiérrez, 1996. "A prekernel characterization by means of stability properties," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 4(2), pages 257-267, December.
  21. Llerena, Francesc, 2007. "An axiomatization of the core of games with restricted cooperation," Economics Letters, Elsevier, vol. 95(1), pages 80-84, April.
  22. Nir Dagan, 1996. "Consistency and the Walrasian allocations correspondence," Economics Working Papers 151, Department of Economics and Business, Universitat Pompeu Fabra.
  23. 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).
  24. van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Other publications TiSEM bb166cb9-4f1c-4e52-b4b9-0, Tilburg University, School of Economics and Management.
  25. 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.
  26. 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.
  27. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2010. "On the number of blocks required to access the core," MPRA Paper 26578, University Library of Munich, Germany.
  28. Dietzenbacher, Bas, 2019. "The Procedural Egalitarian Solution and Egalitarian Stable Games," Discussion Paper 2019-007, Tilburg University, Center for Economic Research.
  29. Guni Orshan & Peter Sudhölter, 2003. "Reconfirming the Prenucleolus," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 283-293, May.
  30. Demuynck, Thomas & Rock, Bram De & Ginsburgh, Victor, 2016. "The transfer paradox in welfare space," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 1-4.
  31. 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.
  32. Nunez, Marina & Rafels, Carles, 2003. "Characterization of the extreme core allocations of the assignment game," Games and Economic Behavior, Elsevier, vol. 44(2), pages 311-331, August.
  33. Takafumi Otsuka, 2020. "Egalitarian solution for games with discrete side payment," Papers 2003.10059, arXiv.org.
  34. Harald Wiese, 2012. "Values with exogenous payments," Theory and Decision, Springer, vol. 72(4), pages 485-508, April.
  35. 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.
  36. Huang, Chen-Ying & Sjostrom, Tomas, 2006. "Implementation of the recursive core for partition function form games," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 771-793, September.
  37. Ignacio Palacios-Huerta & Oscar Volij, 2002. "The Measure of Intellectual Influence," Working Papers 2002-13, Brown University, Department of Economics.
  38. 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.
  39. Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
  40. 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.
  41. Guni Orshan & Peter Sudhölter, 2010. "The positive core of a cooperative game," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 113-136, March.
  42. Roberto Burguet and Ramon Caminal, 2010. "Simultaneous Nash Bargaining with Consistent Beliefs," Working Papers 521, Barcelona School of Economics.
  43. Bloch, Francis & de Clippel, Geoffroy, 2010. "Cores of combined games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2424-2434, November.
  44. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2013. "An optimal bound to access the core in TU-games," Games and Economic Behavior, Elsevier, vol. 80(C), pages 1-9.
  45. Stéphane Gonzalez & Aymeric Lardon, 2018. "Optimal deterrence of cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 207-227, March.
  46. Katsev, Ilya & Yanovskaya, Elena, 2013. "The prenucleolus for games with restricted cooperation," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 56-65.
  47. John Kleppe & Hans Reijnierse & Peter Sudhölter, 2016. "Axiomatizations of symmetrically weighted solutions," Annals of Operations Research, Springer, vol. 243(1), pages 37-53, August.
  48. 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.
  49. 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.
  50. 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.
  51. Hokari, Toru & Kibris, Ozgur, 2003. "Consistency, converse consistency, and aspirations in TU-games," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 313-331, July.
  52. Sylvain Béal & Stéphane Gonzalez & Philippe Solal & Peter Sudhölter, 2023. "Axiomatic characterizations of the core without consistency," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 687-701, September.
  53. Yan-An Hwang, 2006. "Two characterizations of the consistent egalitarian solution and of the core on NTU games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 557-568, December.
  54. Voorneveld, Mark & van den Nouweland, Anne, 1998. "A new axiomatization of the core of games with transferable utility," Economics Letters, Elsevier, vol. 60(2), pages 151-155, August.
  55. Camelia Bejan & Juan Gómez, 2012. "Axiomatizing core extensions," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 885-898, November.
  56. Michel Grabisch & Peter Sudhölter, 2012. "The bounded core for games with precedence constraints," Annals of Operations Research, Springer, vol. 201(1), pages 251-264, December.
  57. Khmelnitskaya, Anna B. & Sudhölter, Peter, 2011. "The prenucleolus for games with communication structures," Discussion Papers on Economics 10/2011, University of Southern Denmark, Department of Economics.
  58. Luisa Carpente & Balbina Casas-Méndez & Ignacio García-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.
  59. Burguet, Roberto & Caminal, Ramon, 2020. "Coalitional bargaining with consistent counterfactuals," Journal of Economic Theory, Elsevier, vol. 187(C).
  60. repec:ebl:ecbull:v:3:y:2008:i:45:p:1-6 is not listed on IDEAS
  61. 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.
  62. 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.
  63. Pulido, Manuel A. & Sánchez-Soriano, Joaquín, 2009. "On the core, the Weber set and convexity in games with a priori unions," European Journal of Operational Research, Elsevier, vol. 193(2), pages 468-475, March.
  64. Gooni Orshan & Peter Sudholter, 2001. "Reconfirming the Prenucleolus," Discussion Paper Series dp267, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  65. Katsev, Ilya & Arin Aguirre, Francisco Javier, 2011. "The SD-prenucleolus for TU games," IKERLANAK 2011-56, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  66. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2018. "Monotonicity and weighted prenucleoli: A characterization without consistency," Discussion Papers on Economics 4/2018, University of Southern Denmark, Department of Economics.
  67. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
  68. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
  69. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
  70. Serrano, Roberto & Volij, Oscar, 1998. "Axiomatizations of neoclassical concepts for economies," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 87-108, August.
  71. 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.
  72. 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.
  73. Hu, Cheng-Cheng & Tsay, Min-Hung & Yeh, Chun-Hsien, 2018. "A study of the nucleolus in the nested cost-sharing problem: Axiomatic and strategic perspectives," Games and Economic Behavior, Elsevier, vol. 109(C), pages 82-98.
  74. Chun, Youngsub, 2002. "The Converse Consistency Principle in Bargaining," Games and Economic Behavior, Elsevier, vol. 40(1), pages 25-43, July.
  75. Hokari, Toru, 2005. "Consistency implies equal treatment in TU-games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 63-82, April.
  76. 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.
  77. 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.
  78. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez Rodríguez, 2020. "The boundary of the core of a balanced game: face games," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 579-599, June.
  79. Suijs, J.P.M. & Hamers, H.J.M. & Tijs, S.H., 1995. "On consistency of reward allocation rules in sequencing situations," Other publications TiSEM f4745bac-fd51-4006-9321-d, Tilburg University, School of Economics and Management.
  80. Fatma Aslan & Papatya Duman & Walter Trockel, 2019. "Duality for General TU-games Redefined," Working Papers CIE 121, Paderborn University, CIE Center for International Economics.
  81. Arin Aguirre, Francisco Javier & Katsev, Ilya, 2013. "The coincidence of the kernel and nucleolus of a convex game: an alternative proof," IKERLANAK http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  82. Dutta, Bhaskar & Kar, Anirban, 2004. "Cost monotonicity, consistency and minimum cost spanning tree games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 223-248, August.
  83. Gooni Orshan & Peter Sudholter, 2001. "The Positive Core of a Cooperative Game," Discussion Paper Series dp268, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  84. Núñez, Marina & Rafels, Carles, 2009. "A glove-market partitioned matrix related to the assignment game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 598-610, November.
  85. Pérez-Castrillo, David & Sun, Chaoran, 2021. "Value-free reductions," Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
  86. Driessen, Theo & Hu, Cheng-Cheng, 2009. "A note on equivalence of consistency and bilateral consistency through converse consistency," Games and Economic Behavior, Elsevier, vol. 65(2), pages 644-648, March.
  87. Voorneveld, M. & van den Nouweland, C.G.A.M., 1998. "Cooperative Multicriteria Games with Public and Private Criteria : An Investigation of Core Concepts," Discussion Paper 1998-62, Tilburg University, Center for Economic Research.
  88. 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.
  89. Ichiro Nishizaki & Tomohiro Hayashida & Yuki Shintomi, 2016. "A core-allocation for a network restricted linear production game," Annals of Operations Research, Springer, vol. 238(1), pages 389-410, March.
  90. Yu-Hsien Liao, 2008. "The Maximal Equal Allocation of Nonseparable Costs on Multi-Choice Games," Economics Bulletin, AccessEcon, vol. 3(70), pages 1-8.
  91. 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.
  92. Arin Aguirre, Francisco Javier & Feltkamp, Vicent & Montero García, María, 2013. "Coalitional games with veto players: Myopic and farsighted behavior," IKERLANAK http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  93. 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.
  94. 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.
  95. 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.
  96. Yu-Hsien Liao, 2022. "Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations," Mathematics, MDPI, vol. 10(5), pages 1-7, February.
  97. Roberto Serrano, 2007. "Cooperative Games: Core and Shapley Value," Working Papers 2007-11, Brown University, Department of Economics.
  98. repec:ebl:ecbull:v:3:y:2008:i:70:p:1-8 is not listed on IDEAS
  99. Voorneveld, M. & van den Nouweland, C.G.A.M., 1998. "Cooperative Multicriteria Games with Public and Private Criteria : An Investigation of Core Concepts," Other publications TiSEM 8c732445-5aa9-445f-9564-4, Tilburg University, School of Economics and Management.
  100. 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.
  101. 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.
  102. Arin Aguirre, Francisco Javier & Feltkamp, Vincent, 2005. "Implementing with veto players: a simple non cooperative game," IKERLANAK 6489, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  103. Gerard van der Laan & René van den Brink, 2001. "Core concepts for share vectors," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 759-784.
  104. 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.
  105. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.
  106. Bejan, Camelia & Gómez, Juan Camilo & van den Nouweland, Anne, 2021. "Feasibility-free axiomatization of the core and its non-empty extension," Economics Letters, Elsevier, vol. 201(C).
  107. Chun, Youngsub & Mitra, Manipushpak, 2014. "Subgroup additivity in the queueing problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 281-289.
  108. 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.
  109. Dylan Laplace Mermoud & Michel Grabisch & Peter Sudhölter, 2023. "Minimal balanced collections: generation, applications and generalization," Documents de travail du Centre d'Economie de la Sorbonne 23001, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  110. Funaki, Y. & Tijs, S.H. & Brânzei, R., 2007. "Leximals, the Lexicore and the Average Lexicographic Value," Discussion Paper 2007-97, Tilburg University, Center for Economic Research.
  111. 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.
  112. Ichiro Nishizaki & Tomohiro Hayashida & Yuki Shintomi, 2016. "A core-allocation for a network restricted linear production game," Annals of Operations Research, Springer, vol. 238(1), pages 389-410, March.
  113. Anne van den Nouweland, 2011. "Comments on: Cooperative games and cost allocation problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 29-32, July.
  114. Sudholter, Peter, 1996. "Star-shapedness of the kernel for homogeneous games," Mathematical Social Sciences, Elsevier, vol. 32(3), pages 179-214, December.
  115. Francesc Llerena & Cori Vilella, 2013. "An axiomatic characterization of the strong constrained egalitarian solution," Economics Bulletin, AccessEcon, vol. 33(2), pages 1438-1445.
  116. Nir Dagan, 2008. "An axiomatization of the leveling tax-transfer policy," Economic theory and game theory 020, Nir Dagan.
  117. Akira Okada & Eyal Winter, 2002. "A Non-cooperative Axiomatization of the Core," Theory and Decision, Springer, vol. 53(1), pages 1-28, August.
  118. Geoffroy de Clippel, 2005. "An Axiomatization of the Inner Core Using Appropriate Reduced Games," Working Papers 2005-02, Brown University, Department of Economics.
  119. 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.
  120. Lejano, Raul P., 2011. "A note on solution concepts for nontransferable utility games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 777-780.
  121. Hinojosa, M.A. & Romero, E. & Zarzuelo, J.M., 2012. "Consistency of the Harsanyi NTU configuration value," Games and Economic Behavior, Elsevier, vol. 76(2), pages 665-677.
  122. Chang, Chih & Hu, Cheng-Cheng, 2008. "A non-cooperative interpretation of the f-just rules of bankruptcy problems," Games and Economic Behavior, Elsevier, vol. 63(1), pages 133-144, May.
  123. Kishimoto, Shin & Watanabe, Naoki, 2017. "The kernel of a patent licensing game: The optimal number of licensees," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 37-50.
  124. Yasushi Agatsuma & Yukihiko Funaki & Koji Yokote, 2017. "Random reduction consistency of the Weber set, the core and the anti-core," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 85(3), pages 389-405, June.
  125. Ata Atay & Francesc Llerena & Marina Núñez, 2016. "Generalized three-sided assignment markets: core consistency and competitive prices," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(3), pages 572-593, October.
  126. 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.
  127. 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.
  128. 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.
  129. Arin, J. & Feltkamp, V., 2007. "Coalitional games with veto players: Consistency, monotonicity and Nash outcomes," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 855-870, September.
  130. 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.
  131. 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.
  132. Pierre Dehez, 2017. "On Harsanyi Dividends and Asymmetric Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.
  133. 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.
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