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

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. © 2007 Elsevier B.V. All rights reserved.