On Solving Bimatrix Games with Triangular Fuzzy Payoffs

被引：0
|
作者：
Chakravorty, Subrato [1 ]
Ghosh, Debdas [1 ]
机构：
[1] Indian Inst Technol BHU, Dept Mech Engn, Varanasi 221005, Uttar Pradesh, India
来源：
MATHEMATICS AND COMPUTING (ICMC 2018) | 2018年 / 253卷
关键词：
Bimatrix games; Nash equilibrium; Fuzzy set theory; Fuzzy games; Non-cooperative games; ZERO-SUM GAMES; EQUILIBRIUM STRATEGY;
D O I：
10.1007/978-981-13-2095-8_34
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The aim of this paper is to introduce the concept of bimatrix fuzzy games. The fuzzy games are defined by payoff matrices constructed using triangular fuzzy numbers. The bimatrix fuzzy game discussed in this paper is different from the one given by Maeda and Cunlin in respect that it is not a zero-sum game and two different payoff matrices are provided for the two players. Three kinds of Nash equilibriums are introduced for fuzzy games, and their existence conditions are studied. Asolution method for bimatrix fuzzy games is given using crisp parametric bimatrix games. Finally, a numerical example is discussed to support the model described in the paper.
引用
收藏
页码：441 / 452
页数：12
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