4.7 Article

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

Journal

FUZZY SETS AND SYSTEMS
Volume 160, Issue 5, Pages 657-666

Publisher

ELSEVIER
DOI: 10.1016/j.fss.2008.06.010

Keywords

Bimatrix game; Fuzzy payoff; Belief; Fuzzy intervals; Nash equilibrium

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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 alpha-cuts. Sufficient conditions for its existence and a procedure for its computation are provided, (C) 2008 Elsevier B.V. All rights reserved.

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