Two-person zero-sum matrix game with fuzzy random payoffs

Authors:
Lin Xu;Ruiqing Zhao;Yufu Ning
Affiliations:
Institute of Systems Engineering, Tianjin University, Tianjin, China;Institute of Systems Engineering, Tianjin University, Tianjin, China;Institute of Systems Engineering, Tianjin University, Tianjin, China and Department of Computer Science, Dezhou University, Dezhou, China
Venue:
ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II
Year:
2006

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Abstract

The purpose of this paper is to introduce a two-person zerosum matrix game in which the payoffs are characterized as fuzzy random variables. Based on fuzzy random expected value operator, a fuzzy random expected minimax equilibrium strategy to the game is defined and the existence of the strategy is proved. Then an iterative algorithm based on fuzzy random simulation is designed to seek the minimax equilibrium strategy. Finally, a numerical example is provided to illustrate the effectiveness of the algorithm.