On characterization of equilibrium strategy of two-person zero-sum games with fuzzy payoffs
In this paper, we consider fuzzy matrix games, namely, two-person zero-sum games with fuzzy payoffs. Based on fuzzy max order, for such games, we define three kinds of concepts of minimax equilibrium strategies and investigate their properties. First, we shall show that these equilibrium strategies are characterized as Nash equilibrium strategies of a family of parametric bi-matrix games with crisp payoffs. Second, we investigate properties of values of fuzzy matrix games by means of possibility and necessity measures. In addition, we give a numerical example to illustrate utility of our approaches. (C) 2002 Elsevier B.V. All rights reserved.
two-person zero-sum game fuzzy max order minimax equilibrium strategy nash equilibrium strategy necessity measures fuzzy number non-dominated minimax equilibrium strategy possibility measure