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Games in Fuzzy Environments

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  • Michael Aristidou
  • Sudipta Sarangi

Abstract

A noncooperative model of a normal form game is developed using tools from fuzzy set theory. The paper extends the decision theory framework of Bellman and Zadeh (1970) to a game‐theoretic setting. We identify conditions for the existence of equilibrium in this setting and provide a duopoly example. The paper also provides a review of the existing literature on noncooperative fuzzy games and their applications.

Suggested Citation

  • Michael Aristidou & Sudipta Sarangi, 2006. "Games in Fuzzy Environments," Southern Economic Journal, John Wiley & Sons, vol. 72(3), pages 645-659, January.
    • Handle: RePEc:wly:soecon:v:72:y:2006:i:3:p:645-659
    DOI: 10.1002/j.2325-8012.2006.tb00725.x
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    References listed on IDEAS

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    1. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June.
    2. James E. West & Bruce Linster, 2003. "The Evolution of Fuzzy Rules as Strategies in Two-Player Games," Southern Economic Journal, John Wiley & Sons, vol. 69(3), pages 705-717, January.
    3. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    4. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    5. Basu, Kaushik, 1994. "The Traveler's Dilemma: Paradoxes of Rationality in Game Theory," American Economic Review, American Economic Association, vol. 84(2), pages 391-395, May.
    6. Chen, Hsiao-Chi & Friedman, James W. & Thisse, Jacques-Francois, 1997. "Boundedly Rational Nash Equilibrium: A Probabilistic Choice Approach," Games and Economic Behavior, Elsevier, vol. 18(1), pages 32-54, January.
    7. Rachael Goodhue, 1998. "Sustaining Collusion Via a Fuzzy Trigger," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 13(3), pages 333-345, June.
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    Cited by:

    1. Svajone Bekesiene & Serhii Mashchenko, 2023. "On Nash Equilibria in a Finite Game for Fuzzy Sets of Strategies," Mathematics, MDPI, vol. 11(22), pages 1-12, November.

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