ON CHARACTERIZATION OF EQUILIBRIUM STRATEGY FOR MATRIX GAMES WITH L-R FUZZY PAYOFFS

Abstract

In this paper, we consider fuzzy matrix games, namely, two-person zero-sum games with fuzzy payoffs. For such games, we define three kinds of concepts of minimax equilibrium strategies based on fuzzy max order, and their properties are investigated. Then, these minimax equilibrium strategies are characterized as Nash equilibrium strategies of a family of parametric bi-matrix games with crisp payoffs, where ecrisp’ means enon-fuzzy’. Moreover, numerical examples are presented to illustrate utility of the obtained results.