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.
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页数：10
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