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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2008
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| Online Access: | http://irep.iium.edu.my/690/ http://irep.iium.edu.my/690/1/moussa_1-s2.0-S0165011407002618-main.pdf |
| Summary: | 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. |
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