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...

Full description

Bibliographic Details
Main Authors: Kacher, F, Larbani, Moussa
Format: Article
Language:English
Published: Elsevier 2008
Online Access:http://irep.iium.edu.my/690/
http://irep.iium.edu.my/690/1/moussa_1-s2.0-S0165011407002618-main.pdf
id iium-690
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
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.
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/
http://irep.iium.edu.my/690/1/moussa_1-s2.0-S0165011407002618-main.pdf
first_indexed 2023-09-18T20:07:51Z
last_indexed 2023-09-18T20:07:51Z
_version_ 1777407278419279872