4.5 Article

Characterization of the equilibrium strategy of the bimatrix game with fuzzy payoff

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ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1006/jmaa.2000.7142

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bimatrix game; Nash equilibrium strategy; fuzzy number; possibility measure; possible Nash equilibrium strategy

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In this paper, we consider fuzzy bimatrix games, which mean bimatrix games with fuzzy payoff matrices. We define two types of concepts of equilibrium strategy and investigate their relationships. Moreover, we prove that these Nash equilibrium strategies exist in any fuzzy bimatrix games. (C) 2000 Academic Press.

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