Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters

Kacher, F and Larbani, Moussa (2008) Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters. Fuzzy Sets and Systems, 159 (2). pp. 164-176. ISSN 0165-0114

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Abstract

In this paper we introduce a concept of equilibrium for a non- cooperative game with fuzzy goals involving fuzzy parameters. This equilibrium is based on Zimmermann's approach for solving linear multiobjective problems with fuzzy goals and the concept of N-S equilibrium introduced by Zhukovskii for a non- coprative game with payoffs involving unknown parameters in the case of complete ingnorance of their behavior. We also provide a theorem of existance of this equilibrium based on the Fan ineqality.

Item Type:	Article (Journal)
Additional Information:	3917/690
Uncontrolled Keywords:	Fuzzy set; Non-cooperative game; Nash equilibrium; Weak Pareto optimality
Subjects:	UNSPECIFIED
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Economics and Management Sciences > Department of Business Administration
Depositing User:	Nur' Aini Abu Bakar
Date Deposited:	14 Jun 2013 08:43
Last Modified:	19 Mar 2015 16:41
URI:	http://irep.iium.edu.my/id/eprint/690

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