Reduced two-bound core games

被引：2

作者：

Gong, Doudou ^{[1
,2
]}

Dietzenbacher, Bas ^{[2
]}

Peters, Hans ^{[2
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710072, Peoples R China

[2] Maastricht Univ, Dept Quantitat Econ, NL-6200 MD Maastricht, Netherlands

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2022年 / 96卷 / 03期

关键词：

Two-bound core games; Reduced games; Axiomatic analysis;

D O I：

10.1007/s00186-022-00800-1

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 paper studies Davis-Maschler reduced games of two-bound core games and shows that all these reduced games with respect to core elements are two-bound core games with the same pair of bounds. Based on associated reduced game properties, we axiomatically characterize the core, the nucleolus, and the egalitarian core for two-bound core games. Moreover, we show that the egalitarian core for two-bound core games is single-valued and we provide an explicit expression.

引用

页码：447 / 457

页数：11

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