The unit-level-core for multi-choice games: the replicated core for TU games

被引：26

作者：

Hwang, Yan-An ^{[2
]}

Liao, Yu-Hsien ^{[1
]}

机构：

[1] Natl Pingtung Univ Educ, Dept Appl Math, Pingtung 900, Taiwan

[2] Natl Dong Hwa Univ, Dept Appl Math, Hualien 974, Taiwan

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 47卷 / 02期

关键词：

Multi-choice TU games; Replicated TU games; Unit-level-core; Reduced games; COOPERATIVE GAMES; CONSISTENCY; PAYMENTS;

D O I：

10.1007/s10898-009-9463-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

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.

引用

页码：161 / 171

页数：11

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