A decomposition of transferable utility games: structure of transferable utility games

被引：0
|
作者：
Derya, Ayse Mutlu [1 ]
机构：
[1] Bilkent Univ, Dept Math, Ankara, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2015年 / 39卷 / 02期
关键词：
Transferable utility games; cooperative games; core; single-valued core; balanced collections;
D O I：
10.3906/mat-1404-56
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define a decomposition of transferable utility games based on shifting the worth of the grand coalition so that the associated game has a nonempty core. We classify the set of all transferable utility games based on that decomposition and analyze their structure. Using the decomposition and the notion of minimal balanced collections, we give a set of necessary and sufficient conditions for a transferable utility game to have a singleton core.
引用
收藏
页码：200 / 211
页数：12
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