Solving bimatrix games with fuzzy payoffs by introducing Nature as a third player

The paper elaborates on the fuzzy bimatrix games. The payoffs are assumed to be fuzzy intervals with bounded support as defined by Dubois and Prade. A new equilibrium concept is defined for this game by introducing‘Nature’ as a third player and using-cuts. Sufficient conditions for its existence and...

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Bibliographic Details
Main Author: Larbani, Moussa
Format: Article
Language:English
Published: Elsevier 2009
Subjects:
Online Access:http://irep.iium.edu.my/13477/
http://irep.iium.edu.my/13477/
http://irep.iium.edu.my/13477/
http://irep.iium.edu.my/13477/1/FSS5354.pdf
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Summary:The paper elaborates on the fuzzy bimatrix games. The payoffs are assumed to be fuzzy intervals with bounded support as defined by Dubois and Prade. A new equilibrium concept is defined for this game by introducing‘Nature’ as a third player and using-cuts. Sufficient conditions for its existence and a procedure for its computation are provided.