Fuzzy Nash Equilibriums in Crisp and Fuzzy Games

Fuzzy Nash Equilibriums in Crisp and Fuzzy Games

In this paper, we introduce fuzzy Nash equilibrium to determine a graded representation of Nash equilibriums in crisp and fuzzy games. This interpretation shows the distribution of equilibriums in the matrix form of a game and handles uncertainties in payoffs. In addition, a new method to rank fuzzy...

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Veröffentlicht in:IEEE transactions on fuzzy systems 2013-02, Vol.21 (1), p.171-176
Hauptverfasser: Chakeri, A., Sheikholeslam, F.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithm design and analysis
Fuzzy game
fuzzy Nash equilibrium
fuzzy preference relation
Fuzzy sets
fuzzy value
Games
Nash equilibrium
satisfaction function (SF)
Uncertainty
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Zusammenfassung:In this paper, we introduce fuzzy Nash equilibrium to determine a graded representation of Nash equilibriums in crisp and fuzzy games. This interpretation shows the distribution of equilibriums in the matrix form of a game and handles uncertainties in payoffs. In addition, a new method to rank fuzzy values with the user's viewpoint is investigated. By this means, the definition of satisfaction function, which provides the result of comparison in the form of real value, is developed when users have preferences regarding the payoffs.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2012.2203308