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 |
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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 |
| _version_ | 1848775743235948544 |
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| author | Kacher, F Larbani, Moussa |
| author_facet | Kacher, F Larbani, Moussa |
| author_sort | Kacher, F |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T14:19:03Z |
| format | Article |
| id | iium-690 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:19:03Z |
| publishDate | 2008 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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 PeerReviewed 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 |
| spellingShingle | Kacher, F Larbani, Moussa Existence of equilibrium solution for a non- cooperative game with fuzzy goals and parameters |
| title | 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_short | 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 |
| url | http://irep.iium.edu.my/690/ http://irep.iium.edu.my/690/1/moussa_1-s2.0-S0165011407002618-main.pdf |