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

Authors:
F. Kacher;M. Larbani
Affiliations:
Department of Mathematics, Faculty of Sciences, University Tizi-Ouzou, Algéria;Department of Business Administration, Kainan University, No. 1, Kainan Road, Luchu, Taoyuan County 338, Taiwan
Venue:
Fuzzy Sets and Systems
Year:
2008

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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-cooperative game with payoffs involving unknown parameters in the case of complete ignorance of their behavior. We also provide a theorem of existence of this equilibrium based on the Fan inequality.