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

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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
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Multi-choice games; The core; The reduced games;
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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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