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Equilibrium and dominance in fuzzy games

Author

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  • Mallozzi, Lina
  • Vidal-Puga, Juan

Abstract

In this paper, we study the generalization of (Nash) equilibrium and dominance solvability to interval fuzzy games in strategic form. We show that the more straightforward generalizations of these concepts do not inherit their most relevant results, either in terms of existence or refinement. To efficiently handle the fuzziness of the payoffs, we use the Hurwicz criterion and introduce new equilibrium concepts and dominance solutions that greatly overcome these drawbacks.

Suggested Citation

  • Mallozzi, Lina & Vidal-Puga, Juan, 2022. "Equilibrium and dominance in fuzzy games," MPRA Paper 111386, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:111386
    as

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    File URL: https://mpra.ub.uni-muenchen.de/111386/1/MPRA_paper_111386.pdf
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    References listed on IDEAS

    as
    1. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    2. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-1151, November.
    3. Lina Mallozzi & Juan Vidal-Puga, 2021. "Uncertainty in cooperative interval games: how Hurwicz criterion compatibility leads to egalitarianism," Annals of Operations Research, Springer, vol. 301(1), pages 143-159, June.
    4. O. Palancı & S. Alparslan Gök & G. Weber, 2014. "Cooperative games under bubbly uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(2), pages 129-137, October.
    5. Georgios Gerasimou, 2019. "Dominance-solvable multicriteria games with incomplete preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 165-171, December.
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    More about this item

    Keywords

    Dominance solvability; Fuzzy interval payoffs; Hurwicz criterion;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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