The multi-core, balancedness and axiomatizations for multi-choice games

被引：0
作者：
Yan-An Hwang
Yu-Hsien Liao
机构：
[1] National Dong Hwa University,Department of Applied Mathematics
[2] National Pingtung University of Education,Department of Applied Mathematics
来源：
International Journal of Game Theory | 2011年 / 40卷
关键词：
Multi-choice games; The core; The reduced games;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This note extends the solution concept of the core for cooperative games to multi-choice games. We propose an extension of the theorem of Bondareva (Problemy Kybernetiki 10:119–139, 1963) and Shapley (Nav Res Logist Q 14:453–460, 1967) to multi-choice games. Also, we introduce a notion of reduced games for multi-choice games and provide an axiomatization of the core on multi-choice games by means of corresponding notion of consistency and its converse.
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页码：677 / 689
页数：12
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共 27 条
  • [11] Sudhölter P(1998)Beyond Nash bargaining theory: the Nash set J Econ Theory 83 283-307
  • [12] Moulin H(1998)Axiomatizations of neoclassical concepts for economies J Math Econ 30 87-108
  • [13] Orshan G(1967)On balanced sets and cores Nav Res Logist Q 14 453-460
  • [14] Zarzuelo J(1975)The characterization of optimality principles in cooperative games by functional equations Math Methods Soc Sci 6 150-165
  • [15] Peleg B(1992)Reduced games, consistency, and the core Int J Game Theory 20 325-334
  • [16] Peleg B(1995)Core and related solution concepts for multi-choice games ZOR Math Methods Oper Res 41 289-311
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