The unit-level-core for multi-choice games: the replicated core for TU games
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- 作者：Yan-An Hwang and Yu-Hsien Liao
- 关键词：Multi ; choice TU games ; Replicated TU games ; Unit ; level ; core ; Reduced games
- 刊名：Journal of Global Optimization
- 出版时间：June, 2010
- 出版年：2010
- 期刊代码：80_09255001
- 类别：bio
- 卷：47
- 期：2
- 页码：161-171
- 数据来源：sp
摘要
This note extends the solution concept of the core for traditional transferable-utility (TU) games to multi-choice TU games, which we name the unit-level-core. It turns out that the unit-level-core of a multi-choice TU game is a “replicated subset” of the core of a corresponding “replicated” TU game. We propose an extension of the theorem of Bondareva (Probl Kybern 10:119–139, 1963) and Shapley (Nav Res Logist Q 14:453–460, 1967) to multi-choice games. Also, we introduce the reduced games for multi-choice TU games and provide an axiomatization of the unit-level-core on multi-choice TU games by means of consistency and its converse.