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...
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2008
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my.iium.irep.6902015-03-19T08:41:38Z http://irep.iium.edu.my/690/ Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters Kacher, F Larbani, Moussa 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. Elsevier 2008-01-16 Article REM application/pdf en http://irep.iium.edu.my/690/1/moussa_1-s2.0-S0165011407002618-main.pdf 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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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. |
| format |
Article |
| author |
Kacher, F Larbani, Moussa |
| spellingShingle |
Kacher, F Larbani, Moussa Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| author_facet |
Kacher, F Larbani, Moussa |
| author_sort |
Kacher, F |
| title |
Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| title_short |
Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| title_full |
Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| title_fullStr |
Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| title_full_unstemmed |
Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| title_sort |
existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| publisher |
Elsevier |
| publishDate |
2008 |
| url |
http://irep.iium.edu.my/690/1/moussa_1-s2.0-S0165011407002618-main.pdf http://irep.iium.edu.my/690/ |
| _version_ |
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