On the relationship between Shapley and Owen values

被引：8
|
作者：
Lopez, Susana [1 ]
Saboya, Martha [1 ]
机构：
[1] Univ Autonoma Madrid, Madrid, Spain
来源：
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH | 2009年 / 17卷 / 04期
关键词：
Shapley value; Owen value; Coalitional values; Coalition structures;
D O I：
10.1007/s10100-009-0100-8
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：
Owen value is an extension of Shapley value for cooperative games when a particular coalition structure or partition of the set of players is considered in addition. In this paper, we will obtain the Shapley value as an average of Owen values over each set of the same kind of coalition structures, i.e., coalition structures with equal number of sets sharing the same size.
引用
收藏
页码：415 / 423
页数：9
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