Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs

被引：0
|
作者：
Madandar, F. [1 ]
Haghayegi, S. [1 ]
Vaezpour, S. M. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2019年 / 10卷 / 01期
关键词：
Bi-matrix game; Nash equilibrium; L-R fuzzy variable;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto Nash equilibrium strategies of the fuzzy bi-matrix games.
引用
收藏
页码：99 / 109
页数：11
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