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Fuzzy Strong Nash Equilibria in Generalized Fuzzy Games with Application in Urban Public-Sports Services

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  • Tieying Huang

    (Xi’an University of Finance and Economics, Xi’an 710100, China)

  • Jiuqiang Liu

    (Xi’an University of Finance and Economics, Xi’an 710100, China
    Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA)

Abstract

In this paper, we apply the existence of solutions of the Ky Fan minimax inequality to establish the existence of fuzzy strong Nash equilibria in generalized fuzzy games and strong Nash equilibria in fuzzy coalition generalized games. We then show some applications of our existence results about the strong Nash equilibrium in urban public-sports services.

Suggested Citation

  • Tieying Huang & Jiuqiang Liu, 2022. "Fuzzy Strong Nash Equilibria in Generalized Fuzzy Games with Application in Urban Public-Sports Services," Mathematics, MDPI, vol. 10(20), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3784-:d:941710
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    References listed on IDEAS

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    1. Lin, Y. Joseph & Tian, Guoqiang, 1993. "Minimax inequality equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz Theorem," MPRA Paper 41220, University Library of Munich, Germany.
    2. Michael R. Baye & Guoqiang Tian & Jianxin Zhou, 1993. "Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 935-948.
    3. Scalzo, Vincenzo, 2019. "Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality," Journal of Mathematical Economics, Elsevier, vol. 82(C), pages 197-201.
    4. Paolo Cubiotti & Jen-Chih Yao, 2010. "Nash equilibria of generalized games in normed spaces without upper semicontinuity," Journal of Global Optimization, Springer, vol. 46(4), pages 509-519, April.
    5. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    6. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    7. Harker, Patrick T., 1991. "Generalized Nash games and quasi-variational inequalities," European Journal of Operational Research, Elsevier, vol. 54(1), pages 81-94, September.
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    Cited by:

    1. Hu, Zuopeng & Yang, Yanlong, 2024. "Existence and generic stability of open-loop Nash equilibria for noncooperative fuzzy differential games," Applied Mathematics and Computation, Elsevier, vol. 463(C).

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