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The Consensus Value : A New Solution Concept for Cooperative Games

Citations

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Cited by:

  1. 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.
  2. Zhengxing Zou & Rene van den Brink, 2020. "Sharing the Surplus and Proportional Values," Tinbergen Institute Discussion Papers 20-014/II, Tinbergen Institute.
  3. 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.
  4. René Brink & Yukihiko Funaki, 2015. "Implementation and axiomatization of discounted Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 329-344, September.
  5. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "A Class of Solidarity Allocation Rules for TU-games," Working Papers 2015-03, CRESE.
  6. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
  7. Andrea Caggese & Ander Pérez-Orive, 2017. "Capital Misallocation and Secular Stagnation," Finance and Economics Discussion Series 2017-009, Board of Governors of the Federal Reserve System (U.S.).
  8. Molina, Elisenda & Tejada, Juan, 2012. "Pyramidal values," DES - Working Papers. Statistics and Econometrics. WS ws122418, Universidad Carlos III de Madrid. Departamento de Estadística.
  9. Sun, Chaoran, 2022. "Bidding against a Buyout: Implementing the Shapley value and the equal surplus value," Journal of Mathematical Economics, Elsevier, vol. 101(C).
  10. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.
  11. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "Axioms of invariance for TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 891-902, November.
  12. Naoki Matsumoto & Masaki Minegishi, 2020. "Sufficient conditions for the existence of stable sets of cooperative games," Economics Bulletin, AccessEcon, vol. 40(3), pages 1958-1962.
  13. Ju, Y. & Ruys, P.H.M. & Borm, P.E.M., 2004. "Compensating Losses and Sharing Surpluses in Project-Allocation Situations (version 2)," Other publications TiSEM 794a7917-4c5f-4dd0-baff-c, Tilburg University, School of Economics and Management.
  14. Ju, Yuan & Borm, Peter, 2008. "Externalities and compensation: Primeval games and solutions," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 367-382, February.
  15. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Theory and Decision, Springer, vol. 83(1), pages 61-94, June.
  16. Radzik, Tadeusz & Driessen, Theo, 2013. "On a family of values for TU-games generalizing the Shapley value," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 105-111.
  17. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
  18. Sylvain Béal & Eric Rémila & Philippe Solal, 2013. "A Decomposition of the Space of TU-games Using Addition and Transfer Invariance," Working Papers 2013-08, CRESE.
  19. Koji Yokote & Yukihiko Funaki, 2015. "Weak Surplus Mononicity characterizes convex combination of egalitarian Shapley value and Consensus value," Working Papers 1504, Waseda University, Faculty of Political Science and Economics.
  20. Chameni Nembua, C. & Miamo Wendji, C., 2016. "Ordinal equivalence of values, Pigou–Dalton transfers and inequality in TU-games," Games and Economic Behavior, Elsevier, vol. 99(C), pages 117-133.
  21. Chameni Nembua, Célestin & Demsou, Themoi, 2013. "Ordinal equivalence of values and Pigou-Dalton transfers in TU-games," MPRA Paper 44895, University Library of Munich, Germany, revised 09 Mar 2013.
  22. 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).
  23. Sylvain Béal & Florian Navarro, 2020. "Necessary versus equal players in axiomatic studies," Working Papers 2020-01, CRESE.
  24. Pérez-Castrillo, David & Quérou, Nicolas, 2012. "Smooth multibidding mechanisms," Games and Economic Behavior, Elsevier, vol. 76(2), pages 420-438.
  25. 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.
  26. Rene van den Brink & Yukihiko Funaki, 2010. "Axiomatization and Implementation of Discounted Shapley Values," Tinbergen Institute Discussion Papers 10-065/1, Tinbergen Institute.
  27. Quant, M. & Borm, P.E.M. & Maaten, R., 2005. "A Concede-and-Divide Rule for Bankruptcy Problems," Discussion Paper 2005-20, Tilburg University, Center for Economic Research.
  28. 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.
  29. Sylvain Béal & Sylvain Ferrières & Eric Rémila & Philippe Solal, 2017. "Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games," Post-Print halshs-01644797, HAL.
  30. Sylvain Ferrières, 2016. "Nullified equal loss property and equal division values," Working Papers 2016-06, CRESE.
  31. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2017. "Extensions of the Shapley value for Environments with Externalities," Working Papers 1002, Barcelona School of Economics.
  32. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2018. "Procedural and Optimization Implementation of the Weighted ENSC value," Working Papers halshs-01930832, HAL.
  33. Chameni Nembua, C., 2012. "Linear efficient and symmetric values for TU-games: Sharing the joint gain of cooperation," Games and Economic Behavior, Elsevier, vol. 74(1), pages 431-433.
  34. Zhengxing Zou & René Brink & Yukihiko Funaki, 2022. "Sharing the surplus and proportional values," Theory and Decision, Springer, vol. 93(1), pages 185-217, July.
  35. 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.
  36. Yuan Ju, 2007. "The Consensus Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 437-452.
  37. Célestin Chameni Nembua & Nicolas Gabriel Andjiga, 2008. "Linear, efficient and symmetric values for TU-games," Economics Bulletin, AccessEcon, vol. 3(71), pages 1-10.
  38. Takumi Kongo, 2018. "Effects of Players’ Nullification and Equal (Surplus) Division Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-14, March.
  39. René Brink & Yukihiko Funaki, 2009. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games," Theory and Decision, Springer, vol. 67(3), pages 303-340, September.
  40. Takumi Kongo, 2024. "Equal support from others for unproductive players: efficient and linear values that satisfy the equal treatment and weak null player out properties for cooperative games," Annals of Operations Research, Springer, vol. 338(2), pages 973-989, July.
  41. Ramón Flores & Elisenda Molina & Juan Tejada, 2014. "Pyramidal values," Annals of Operations Research, Springer, vol. 217(1), pages 233-252, June.
  42. Macho-Stadler, Inés & Pérez-Castrillo, David & Wettstein, David, 2018. "Values for environments with externalities – The average approach," Games and Economic Behavior, Elsevier, vol. 108(C), pages 49-64.
  43. Tobias Hiller, 2011. "A note on χ-values," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 58(4), pages 433-438, December.
  44. 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.
  45. René Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2016. "Consistency, population solidarity, and egalitarian solutions for TU-games," Theory and Decision, Springer, vol. 81(3), pages 427-447, September.
  46. 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).
  47. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
  48. Maimo, Clovis Wendji, 2017. "Matrix representation of TU-games for Linear Efficient and Symmetric values," MPRA Paper 82416, University Library of Munich, Germany.
  49. Borm, P.E.M. & Ju, Y. & Ruys, P.H.M., 2004. "Compensating Losses and Sharing Surpluses in Project-Allocation Situations (version 1)," Discussion Paper 2004-6, Tilburg University, Center for Economic Research.
  50. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
  51. Yuan Ju & Peter Borm, 2006. "A Non-cooperative Approach to the Compensation Rules for Primeval Games," Keele Economics Research Papers KERP 2006/18, Centre for Economic Research, Keele University.
  52. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.
  53. Dritan Osmani, "undated". "A note on optimal transfer schemes, stable coalition for environmental protection and joint maximization assumption," Working Papers FNU-176, Research unit Sustainability and Global Change, Hamburg University.
  54. Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
  55. Jun Su & Yuan Liang & Guangmin Wang & Genjiu Xu, 2020. "Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value," Mathematics, MDPI, vol. 8(11), pages 1-20, November.
  56. Nembua Célestin, Chameni & Wendji Clovis, Miamo, 2017. "On some decisive players for linear efficient and symmetric values in cooperative games with transferable utility," MPRA Paper 83670, University Library of Munich, Germany, revised 2017.
  57. repec:ebl:ecbull:v:3:y:2008:i:71:p:1-10 is not listed on IDEAS
  58. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "Axiomatization of an allocation rule for ordered tree TU-games," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 132-140.
  59. J. C. Gonçalves-Dosantos & I. García-Jurado & J. Costa & J. M. Alonso-Meijide, 2022. "Necessary players and values," Annals of Operations Research, Springer, vol. 318(2), pages 935-961, November.
  60. Marcin Malawski, 2013. "“Procedural” values for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 305-324, February.
  61. Tadeusz Radzik, 2017. "On an extension of the concept of TU-games and their values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 149-170, August.
  62. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "The sequential equal surplus division for sharing a river," MPRA Paper 37346, University Library of Munich, Germany.
  63. Calvo, Emilio & Gutiérrez-López, Esther, 2021. "Recursive and bargaining values," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 97-106.
  64. 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.
  65. Hiller Tobias, 2021. "Who Bears an Employee’s Special Annual Payment?," Review of Law & Economics, De Gruyter, vol. 17(1), pages 223-237, March.
  66. repec:ebl:ecbull:v:3:y:2008:i:1:p:1-9 is not listed on IDEAS
  67. 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.
  68. Dritan Osmani & Richard S J Tol, 2008. "A Short Note on Joint Welfare Maximization Assumption," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(3), pages 22-39, August.
  69. Gudmundsson, Jens, 2011. "On symmetry in the formation of stable partnerships," Working Papers 2011:29, Lund University, Department of Economics.
  70. 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 Côte d'Azur, France.
  71. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2020. "On egalitarian values for cooperative games with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 672-688, October.
  72. L. Hernández-Lamoneda & F. Sánchez-Sánchez, 2017. "Linear symmetric rankings for TU-games," Theory and Decision, Springer, vol. 82(4), pages 461-484, April.
  73. René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.
  74. Gutiérrez-López, Esther, 2020. "Axiomatic characterizations of the egalitarian solidarity values," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 109-115.
  75. Francisco Sanchez-Sanchez & Ruben Juarez & Luis Hernandez-Lamoneda, 2008. "Solutions without dummy axiom for TU cooperative games," Economics Bulletin, AccessEcon, vol. 3(1), pages 1-9.
  76. Koji Yokote & Yukihiko Funaki, 2017. "Monotonicity implies linearity: characterizations of convex combinations of solutions to cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 171-203, June.
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