Extension of values to games with multiple alternatives

被引：18

作者：

Amer, R ^{[1
]}

Carreras, F ^{[1
]}

Magaña, A ^{[1
]}

机构：

[1] Polytech Univ Catalonia, Sch Ind Engn Terrassa, Dept Appl Math, Catalonia, Spain

来源：

ANNALS OF OPERATIONS RESEARCH | 1998年 / 84卷 / 0期

关键词：

games with multiple alternatives; values; voting;

D O I：

10.1023/A:1018901306738

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：

Games with multiple alternatives enlarge the domain of social situations modelled by the classical cooperative game theory. In this paper, we prove that any linear value defined for traditional cooperative games admits a natural extension to games with multiple alternatives. A method to compute the extended values is also provided. As specific examples, we present an application of the Shapley value and the Banzhaf-Coleman index to two voting situations taken from the real world.

引用

页码：63 / 78

页数：16

共 9 条

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