On Nash Equilibrium Strategy of Two-person Zero-sum Games with Trapezoidal Fuzzy Payoffs

被引：16

作者：

Dutta, Bapi ^{[1
]}

Gupta, S. K. ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Math, Patna 800013, Bihar, India

[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, India

来源：

FUZZY INFORMATION AND ENGINEERING | 2014年 / 6卷 / 03期

关键词：

Fuzzy numbers; Two-person zero-sum games; Fuzzy payoffs; Parametricbi-matrix game; Pareto Nash equilibrium strategy;

D O I：

10.1016/j.fiae.2014.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate Nash equilibrium strategy of two-person zero-sum games with fuzzy payoffs. Based on fuzzy max order, Maeda and Cunlin constructed several models in symmetric triangular and asymmetric triangular fuzzy environment, respectively. We extended their models in trapezoidal fuzzy environment and proposed the existence of equilibrium strategies for these models. We also established the relation between Pareto Nash equilibrium strategy and parametric bimatrix game. In addition, numerical examples are presented to fmd Pareto Nash equilibrium strategy and weak Pareto Nash equilibrium strategy from bi-matrix game.

引用

页码：299 / 314

页数：16

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