Equilibrium Strategy for Two-Person Zero-Sum Matrix Game with Random Fuzzy Payoffs

Abstract

This paper investigates a two-person zero-sum matrix game in which the payoffs are characterized as random fuzzy variables. Based on random fuzzy expected value operator, a random fuzzy expected minimax equilibrium strategy to the game is defined. Then an iterative algorithm based on random fuzzy simulation is designed to seek the minimax equilibrium strategy. Finally, a numerical example is provided to illustrate the effectiveness of the algorithm.