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：
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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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