The proportional coalitional Shapley value

被引：13

作者：

Maria Alonso-Meijide, Jose ^{[1
]}

Carreras, Francesc ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Fac Sci Lugo, Dept Stat & Operat Res, Santiago De Compostela, Spain

[2] Tech Univ Catalonia, Ind & Aeronaut Engn Sch, Dept Appl Math 2, Barcelona, Spain

来源：

EXPERT SYSTEMS WITH APPLICATIONS | 2011年 / 38卷 / 06期

关键词：

Cooperative game; Shapley value; Proportionality; Coalition structure; Coalitional value; GAMES; COOPERATION;

D O I：

10.1016/j.eswa.2010.12.018

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We propose a modification of the Shapley value for monotonic games with a coalition structure. The resulting coalitional value is a twofold extension of the Shapley value in the following sense: (1) the amount obtained by any union coincides with the Shapley value of the union in the quotient game; and (2) the players of the union share this amount proportionally to their Shapley value in the original game (i.e., without unions). We provide axiomatic characterizations of this value close to those existing in the literature for the Owen value and include applications to coalition formation in bankruptcy and voting problems. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：6967 / 6979

页数：13

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