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Two-Person Zero-Sum Matrix Game with Fuzzy Random Payoffs

  • Lin Xu
  • Ruiqing Zhao
  • Yufu Ning
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4114)

Abstract

The purpose of this paper is to introduce a two-person zero-sum 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.

Keywords

Fuzzy Number Pure Strategy Fuzzy Variable Nonnegative Real Number Fuzzy Goal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Lin Xu
    • 1
  • Ruiqing Zhao
    • 1
  • Yufu Ning
    • 1
    • 2
  1. 1.Institute of Systems Engineering, Tianjin University, Tianjin 300072China
  2. 2.Department of Computer Science, Dezhou University, Dezhou 253023China

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