On characterization of equilibrium strategy of two-person zero-sum games with fuzzy payoffs

被引：94
|
作者：
Maeda, T [1 ]
机构：
[1] Kanazawa Univ, Fac Econ, Kanazawa, Ishikawa 9201192, Japan
来源：
FUZZY SETS AND SYSTEMS | 2003年 / 139卷 / 02期
关键词：
two-person zero-sum game; fuzzy number; fuzzy max order; minimax equilibrium strategy; non-dominated minimax equilibrium strategy; Nash equilibrium strategy; possibility measure; necessity measures;
D O I：
10.1016/S0165-0114(02)00509-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we consider fuzzy matrix games, namely, two-person zero-sum games with fuzzy payoffs. Based on fuzzy max order, for such games, we define three kinds of concepts of minimax equilibrium strategies and investigate their properties. First, we shall show that these equilibrium strategies are characterized as Nash equilibrium strategies of a family of parametric bi-matrix games with crisp payoffs. Second, we investigate properties of values of fuzzy matrix games by means of possibility and necessity measures. In addition, we give a numerical example to illustrate utility of our approaches. (C) 2002 Elsevier B.V. All rights reserved.
引用
收藏
页码：283 / 296
页数：14
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