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Solving Bi-Matrix Games Based on Fuzzy Payoffs via Utilizing the Interval Value Function Method

Author

Listed:
  • Kaisheng Liu

    (School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China)

  • Yumei Xing

    (School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China)

Abstract

In this article, we introduce a model of bi-matrix games based on crisp parametric payoffs via utilizing the method of interval value function. Then, we get that equilibrium solutions of bi-matrix games on the basis of fuzzy payoffs and equilibrium solutions of the game model are of equal value. Furthermore, it is concluded that equilibrium solutions of the game can be converted to optimal solutions of discrete nonlinear optimization problems with parameters. Lastly, the proposed methodology is illustrated by an example.

Suggested Citation

  • Kaisheng Liu & Yumei Xing, 2019. "Solving Bi-Matrix Games Based on Fuzzy Payoffs via Utilizing the Interval Value Function Method," Mathematics, MDPI, vol. 7(5), pages 1-10, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:469-:d:234129
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