A NEW THEOREM TO FIND BERGE EQUILIBRIA

被引：14

作者：

Musy, Olivier ^{[1
]}

Pottier, Antonin ^{[2
]}

Tazdait, Tarik ^{[2
]}

机构：

[1] Univ Paris Ouest Nanterre Def, Econ, 200 Ave Republique, F-92001 Nanterre, France

[2] Ecole Ponts ParisTech, CIRED CNRS EHESS, F-94736 Nogent Sur Marne, France

来源：

INTERNATIONAL GAME THEORY REVIEW | 2012年 / 14卷 / 01期

关键词：

Berge equilibrium; Nash equilibrium; mutual support;

D O I：

10.1142/S0219198912500053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper examines the existence of Berge equilibrium. Colman et al. provide a theorem on the existence of this type of equilibrium in the paper [Colman, A.M., Korner, T.W., Musy, O. and Tazdait, T. [2011] Mutual support in games: Some properties of Berge equilibria, J. Math. Psychol. 55, 166-175]. This theorem has been demonstrated on the basis of a correspondence with Nash equilibrium. We propose to restate this theorem without using Nash equilibrium, and deduce a method for the computation of Berge equilibria.

引用

页数：10

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