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Shapley Value for Multichoice Cooperative Games, I

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Cited by:

  1. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence with an ordered set of possible actions," Theory and Decision, Springer, vol. 69(4), pages 635-656, October.
  2. Faigle, U. & Grabisch, M. & Heyne, M., 2010. "Monge extensions of cooperation and communication structures," European Journal of Operational Research, Elsevier, vol. 206(1), pages 104-110, October.
  3. M. Musegaas & P. E. M. Borm & M. Quant, 2018. "Three-valued simple games," Theory and Decision, Springer, vol. 85(2), pages 201-224, August.
  4. Michel Grabisch, 2011. "Ensuring the boundedness of the core of games with restricted cooperation," Annals of Operations Research, Springer, vol. 191(1), pages 137-154, November.
  5. Pongou, Roland & Tchantcho, Bertrand & Tedjeugang, Narcisse, 2014. "Power theories for multi-choice organizations and political rules: Rank-order equivalence," Operations Research Perspectives, Elsevier, vol. 1(1), pages 42-49.
  6. Michel Grabisch & Fabien Lange, 2007. "Games on lattices, multichoice games and the shapley value: a new approach," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(1), pages 153-167, February.
  7. Eric Bahel & Christian Trudeau, 2013. "A discrete cost sharing model with technological cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 439-460, May.
  8. Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2017. "Axiomatization of an importance index for Generalized Additive Independence models," Post-Print halshs-01659796, HAL.
  9. Grabisch, Michel & Rusinowska, Agnieszka, 2011. "Influence functions, followers and command games," Games and Economic Behavior, Elsevier, vol. 72(1), pages 123-138, May.
  10. Guemmegne, Juliette T. & Pongou, Roland, 2014. "A policy-based rationalization of collective rules: Dimensionality, specialized houses, and decentralized authority," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 182-193.
  11. GRABISCH, Michel & LABREUCHE, Christophe & RIDAOUI, Mustapha, 2019. "On importance indices in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 277(1), pages 269-283.
  12. Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2019. "Interaction indices for multichoice games," Documents de travail du Centre d'Economie de la Sorbonne 19019, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  13. Suijs, J.P.M., 1998. "Cooperative decision making in a stochastic environment," Other publications TiSEM a84d779a-d5a9-48e9-bfe7-4, Tilburg University, School of Economics and Management.
  14. Michel Grabisch & Christophe Labreuche & Mustapha Ridaoui, 2022. "Well-formed decompositions of generalized additive independence models," Annals of Operations Research, Springer, vol. 312(2), pages 827-852, May.
  15. Grabisch, Michel & Rusinowska, Agnieszka, 2011. "A model of influence with a continuum of actions," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 576-587.
  16. Michel Grabisch, 2006. "Capacities and Games on Lattices: A Survey of Result," Post-Print halshs-00179830, HAL.
  17. Christophe Labreuche & Michel Grabisch, 2008. "A value for bi-cooperative games," Post-Print halshs-00308738, HAL.
  18. René Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring power and satisfaction in societies with opinion leaders: an axiomatization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 671-683, September.
  19. Christophe Labreuche & Michel Grabisch, 2016. "A comparison of the GAI model and the Choquet integral with respect to a k-ary capacity," Documents de travail du Centre d'Economie de la Sorbonne 16004, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  20. Pongou, Roland & Tondji, Jean-Baptiste, 2018. "Valuing inputs under supply uncertainty: The Bayesian Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 206-224.
  21. Josep Freixas & Montserrat Pons, 2022. "A critical analysis on the notion of power," Annals of Operations Research, Springer, vol. 318(2), pages 911-933, November.
  22. Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2018. "An axiomatisation of the Banzhaf value and interaction index for multichoices games," Post-Print halshs-01814977, HAL.
  23. Josep Freixas, 2005. "Banzhaf Measures for Games with Several Levels of Approval in the Input and Output," Annals of Operations Research, Springer, vol. 137(1), pages 45-66, July.
  24. Labreuche, Christophe & Grabisch, Michel, 2018. "Using multiple reference levels in Multi-Criteria Decision aid: The Generalized-Additive Independence model and the Choquet integral approaches," European Journal of Operational Research, Elsevier, vol. 267(2), pages 598-611.
  25. Michel Grabisch & Agnieszka Rusinowska, 2007. "Influence Indices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00142479, HAL.
    • Agnieszka Rusinowska & Michel Grabisch, 2007. "Influence Indices," Working Papers 0705, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    • Michel Grabisch & Agnieszka Rusinowska, 2007. "Influence Indices," Post-Print halshs-00142479, HAL.
  26. S. Béal & A. Lardon & E. Rémila & P. Solal, 2012. "The average tree solution for multi-choice forest games," Annals of Operations Research, Springer, vol. 196(1), pages 27-51, July.
  27. Michel Grabisch & Lijue Xie, 2008. "The core of games on distributive lattices: how to share benefits in a hierarchy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344802, HAL.
  28. Tsurumi, Masayo & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "A Shapley function on a class of cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 129(3), pages 596-618, March.
  29. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2009. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Tinbergen Institute Discussion Papers 09-052/1, Tinbergen Institute.
  30. Hsiao, Chih-Ru & Chiou, Wen-Lin, 2009. "Modeling a Multi-Choice Game Based on the Spirit of Equal Job Opportunities (New)," MPRA Paper 16023, University Library of Munich, Germany.
  31. Aguiar, Victor H. & Pongou, Roland & Tondji, Jean-Baptiste, 2018. "A non-parametric approach to testing the axioms of the Shapley value with limited data," Games and Economic Behavior, Elsevier, vol. 111(C), pages 41-63.
  32. Michael Jones & Jennifer Wilson, 2010. "Multilinear extensions and values for multichoice games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(1), pages 145-169, August.
  33. Monroy, Luisa & Fernández, Francisco R., 2011. "The Shapley-Shubik index for multi-criteria simple games," European Journal of Operational Research, Elsevier, vol. 209(2), pages 122-128, March.
  34. R. Branzei & E. Gutiérrez & N. Llorca & J. Sánchez-Soriano, 2021. "Does it make sense to analyse a two-sided market as a multi-choice game?," Annals of Operations Research, Springer, vol. 301(1), pages 17-40, June.
  35. Gerwald Gulick & Henk Norde, 2013. "Fuzzy cores and fuzzy balancedness," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(2), pages 131-146, April.
  36. Hsiao, Chih-Ru & Yeh, Yeong-Nan & Mo, Jie-Ping, 1994. "The Potential of Multi-choice Cooperative Games," MPRA Paper 15007, University Library of Munich, Germany.
  37. Tido Takeng, Rodrigue, 2022. "Uncertain production environment and communication structure," Journal of Mathematical Economics, Elsevier, vol. 102(C).
  38. Brânzei, R. & Llorca, N. & Sánchez-Soriano, J. & Tijs, S.H., 2007. "Multi-Choice Total Clan Games : Characterizations and Solution Concepts," Other publications TiSEM 31aee267-f432-46c8-b078-1, Tilburg University, School of Economics and Management.
  39. Josep Freixas & Montserrat Pons, 2021. "An Appropriate Way to Extend the Banzhaf Index for Multiple Levels of Approval," Group Decision and Negotiation, Springer, vol. 30(2), pages 447-462, April.
  40. Bilbao, J.M. & Jiménez, N. & López, J.J., 2010. "The selectope for bicooperative games," European Journal of Operational Research, Elsevier, vol. 204(3), pages 522-532, August.
  41. Michel Grabisch & Lijue Xie, 2011. "The restricted core of games on distributive lattices: how to share benefits in a hierarchy," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 73(2), pages 189-208, April.
  42. Christophe Labreuche & Michel Grabisch, 2006. "Axiomatisation of the Shapley value and power index for bi-cooperative games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00113340, HAL.
  43. Branzei, R. & Tijs, S. & Zarzuelo, J., 2009. "Convex multi-choice games: Characterizations and monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 198(2), pages 571-575, October.
  44. Michael Jones & Jennifer Wilson, 2013. "Two-step coalition values for multichoice games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(1), pages 65-99, February.
  45. Techer, Kevin, 2021. "Stable agreements through liability rules: A multi-choice game approach to the social cost problem," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 77-88.
  46. Brânzei, R. & Tijs, S.H. & Zarzuelo, J., 2007. "Convex Multi-Choice Cooperative Games and their Monotonic Allocation Schemes," Discussion Paper 2007-54, Tilburg University, Center for Economic Research.
  47. Hsiao, Chih-Ru, 1995. "A note on non-essential players in multi-choice cooperative games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 424-432.
  48. Brânzei, R. & Llorca, N. & Sánchez-Soriano, J. & Tijs, S.H., 2007. "Egalitarianism in Multi-Choice Games," Other publications TiSEM bfbd67a5-701f-4be7-a1c9-0, Tilburg University, School of Economics and Management.
  49. Brânzei, R. & Tijs, S.H. & Zarzuelo, J., 2007. "Convex Multi-Choice Cooperative Games and their Monotonic Allocation Schemes," Other publications TiSEM 5549df35-acc3-4890-be43-4, Tilburg University, School of Economics and Management.
  50. Freixas, Josep & Zwicker, William S., 2009. "Anonymous yes-no voting with abstention and multiple levels of approval," Games and Economic Behavior, Elsevier, vol. 67(2), pages 428-444, November.
  51. Brânzei, R. & Llorca, N. & Sánchez-Soriano, J. & Tijs, S.H., 2007. "Multi-Choice Total Clan Games : Characterizations and Solution Concepts," Discussion Paper 2007-77, Tilburg University, Center for Economic Research.
  52. Derks, Jean, 2005. "A new proof for Weber's characterization of the random order values," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 327-334, May.
  53. Michel Grabisch & Agnieszka Rusinowska, 2008. "Measuring influence among players with an ordered set of possible actions," Working Papers 0801, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
  54. Sébastien Courtin & Zéphirin Nganmeni & Bertrand Tchantcho, 2016. "The Shapley–Shubik power index for dichotomous multi-type games," Theory and Decision, Springer, vol. 81(3), pages 413-426, September.
  55. Calvo, E. & Santos, J. C., 2001. "Prices in Mixed Cost Allocation Problems," Games and Economic Behavior, Elsevier, vol. 37(2), pages 243-258, November.
  56. M. Albizuri, 2009. "The multichoice coalition value," Annals of Operations Research, Springer, vol. 172(1), pages 363-374, November.
  57. José Zarzuelo & Marco Slikker & Flip Klijn, 1999. "Characterizations of a multi-choice value," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 521-532.
  58. Kevin Techer, 2020. "Stable agreements through liability rules: a multi-choice games approach to the social cost problem," Working Papers 2028, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
  59. Yan-An Hwang, 2005. "The coincidence of the core and the dominance core on multi-choice games," Economics Bulletin, AccessEcon, vol. 3(14), pages 1-8.
  60. Luisa Monroy & Francisco Fernández, 2014. "Banzhaf index for multiple voting systems. An application to the European Union," Annals of Operations Research, Springer, vol. 215(1), pages 215-230, April.
  61. Michel Grabisch & Christophe Labreuche, 2019. "Interpretation of multicriteria decision making models with interacting criteria," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02381243, HAL.
  62. Calvo, Emilio & Santos, Juan Carlos, 2000. "A value for multichoice games," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 341-354, November.
  63. Sascha Kurz & Issofa Moyouwou & Hilaire Touyem, 2021. "Axiomatizations for the Shapley–Shubik power index for games with several levels of approval in the input and output," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 569-594, April.
  64. Courtin, Sébastien & Nganmeni, Zéphirin & Tchantcho, Bertrand, 2017. "Dichotomous multi-type games with a coalition structure," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 9-17.
  65. Luisa Monroy & Francisco Fernández, 2012. "Stable sets and cores for multi-criteria simple games and for their extensions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 1-22, June.
  66. Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2020. "Weighted committee games," European Journal of Operational Research, Elsevier, vol. 282(3), pages 972-979.
  67. Lijue Xie & Michel Grabisch, 2007. "The core of bicapacities and bipolar games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00187162, HAL.
  68. 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.
  69. Michel Grabisch & Lijue Xie, 2007. "A new approach to the core and Weber set of multichoice games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(3), pages 491-512, December.
  70. repec:ebl:ecbull:v:3:y:2005:i:14:p:1-8 is not listed on IDEAS
  71. Josep Freixas, 2020. "The Banzhaf Value for Cooperative and Simple Multichoice Games," Group Decision and Negotiation, Springer, vol. 29(1), pages 61-74, February.
  72. Michel Grabisch & Agnieszka Rusinowska, 2009. "A model of influence with a continuum of actions," Post-Print halshs-00464460, HAL.
  73. R. Branzei & N. Llorca & J. Sánchez-Soriano & S. Tijs, 2014. "A constrained egalitarian solution for convex multi-choice games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 860-874, October.
  74. Boyang Dai & Xiangfeng Yang & Xiaoyue Liu, 2022. "Shapley Value of Uncertain Coalitional Game based on Hurwicz Criterion with Application to Water Resource Allocation," Group Decision and Negotiation, Springer, vol. 31(1), pages 241-260, February.
  75. Peters Hans & Zank H., 1999. "A Class of Methods for Evaluating Multiattribute Utilities," Research Memorandum 034, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  76. Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2021. "Influence in weighted committees," European Economic Review, Elsevier, vol. 132(C).
  77. Molina, Elisenda & Tejada, Juan, 2004. "Linear production games with committee control: Limiting behaviour of the core," European Journal of Operational Research, Elsevier, vol. 154(3), pages 609-625, May.
  78. Victor H. Aguiar & Roland Pongou & Roberto Serrano & Jean-Baptiste Tondji, 2018. "An Index of Unfairness," Working Papers 2018-9, Brown University, Department of Economics.
  79. Jie Yang & Xiaohong Chen, 2019. "Quantification of the Driving Factors of Water Use in the Productive Sector Change Using Various Decomposition Methods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(12), pages 4105-4121, September.
  80. Hsiao, Chih-Ru, 1996. "Consistency of the Multi-Choice Shapley Value," MPRA Paper 18504, University Library of Munich, Germany.
  81. Kevin Techer, 2020. "Stable agreements through liability rules: a multi- choice games approach to the social cost problem," Working Papers halshs-02939246, HAL.
  82. Peng, Xu & Tao, Xiaoma, 2018. "Cooperative game of electricity retailers in China's spot electricity market," Energy, Elsevier, vol. 145(C), pages 152-170.
  83. Brânzei, R. & Llorca, N. & Sánchez-Soriano, J. & Tijs, S.H., 2007. "Egalitarianism in Multi-Choice Games," Discussion Paper 2007-55, Tilburg University, Center for Economic Research.
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