A note about games-composition dimension

被引：16

作者：

Freixas, J ^{[1
]}

Puente, MA ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Polytech Sch Manresa, Dept Appl Math 3, Barcelona 08240, Spain

来源：

DISCRETE APPLIED MATHEMATICS | 2001年 / 113卷 / 2-3期

关键词：

simple games; weighted majority games; dimension; coherent structures; Boolean algebra;

D O I：

10.1016/S0166-218X(00)00293-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main contribution of this paper is the calculation of the dimension of simple games that are a composition of unanimity games via individualism. We also provide a constructive procedure that represent this type of game as an intersection of a number of weighted majority games equal to its dimension. This provides a better way to achieve exponential dimension (in a monotonic setting) than that of Taylor and Zwicker (Simple Games, Desirability Relations, Trading and Pseudoweightings, Princeton University Press, Princeton, NJ, 1999). (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：265 / 273

页数：9

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