SOLUTION CONCEPT FOR A NON-COOPERATIVE GAME WITH FUZZY PARAMETERS

被引:12
|
作者
Kacher, Fatiha [1 ]
Larbani, Moussa [1 ]
机构
[1] Univ Tizi Ouzou, Dept Math, Fac Sci, Tizi Ouzou 15000, Algeria
关键词
Fuzzy set; non-cooperative game; Nash equilibrium; weak Pareto optimality;
D O I
10.1142/S0219198906001041
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study a non cooperative game with payoff functions involving fuzzy parameters. We introduce a concept of solution for this game that we call alpha-N-S-equilibrium. Our definition is derived from the concept of N-S equilibrium introduced by Zhukovskii for a non cooperative game with payoffs involving unknown parameters in the case of complete ignorance of their behavior. The alpha-N-S-equilibrium takes into account both the aspect of conflict and the aspect of decision making under uncertainty related to the presence of fuzzy parameters. For the aspect of conflict we adopted the Nash equilibrium, for the aspect of uncertainty we adopted the maximin approach through weak Pareto optimality. Furthermore, we give sufficient conditions for its existence.
引用
收藏
页码:489 / 498
页数:10
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