A minimum dimensional class of simple games

被引：10

作者：

Freixas, Josep ^{[1
,2
]}

Marciniak, Dorota ^{[3
,4
]}

机构：

[1] Tech Univ Catalonia, Dept Appl Math 3, Manresa 08242, Spain

[2] Tech Univ Catalonia, High Engn Sch Manresa, Manresa 08242, Spain

[3] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

[4] Inst Natl Telecommun, PL-104894 Warsaw, Poland

来源：

TOP | 2009年 / 17卷 / 02期

关键词：

Simple games; Hypergraphs; Boolean algebra; Dimension; Codimension; AMENDING FORMULA; POWER;

D O I：

10.1007/s11750-009-0115-2

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 provides several extensions of the notion of dimension of a simple game and proves the existence of a minimum subclass of weighted games with the property that every simple game can be expressed as their intersection. Some further generalizations lead to the new concept of codimension which is obtained by considering the union instead of the intersection as the basic operation.

引用

页码：407 / 414

页数：8

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