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Properly efficient Nash equilibrium in multicriteria noncooperative games

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  • Karima Fahem
  • Mohammed Radjef

Abstract

The aim of this paper is to study the concept of properly efficient equilibrium for a multicriteria noncooperative strategic game. Using results of multicriteria optimization programming, we give some characterizations and existence results of this concept in the considered game. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Karima Fahem & Mohammed Radjef, 2015. "Properly efficient Nash equilibrium in multicriteria noncooperative games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 82(2), pages 175-193, October.
    • Handle: RePEc:spr:mathme:v:82:y:2015:i:2:p:175-193
    DOI: 10.1007/s00186-015-0508-y
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    References listed on IDEAS

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    1. Borm, P.E.M. & Tijs, S.H. & van den Aarssen, J.C.M., 1988. "Pareto equilibria in multiobjective games," Other publications TiSEM a02573c0-8c7e-409d-bc75-0, Tilburg University, School of Economics and Management.
    2. Mark Voorneveld & Sofia Grahn & Martin Dufwenberg, 2000. "Ideal equilibria in noncooperative multicriteria games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(1), pages 65-77, September.
    3. Zhao, Jingang, 1991. "The Equilibria of a Multiple Object Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(2), pages 171-182.
    4. Voorneveld, Mark & Vermeulen, Dries & Borm, Peter, 1999. "Axiomatizations of Pareto Equilibria in Multicriteria Games," Games and Economic Behavior, Elsevier, vol. 28(1), pages 146-154, July.
    5. ZHAO, Jingang, 1991. "The equilibria of a multiple objective game," LIDAM Reprints CORE 987, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. M. Voorneveld, 1999. "Pareto-Optimal Security Strategies as Minimax Strategies of a Standard Matrix Game," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 203-210, July.
    7. M.S. Radjef & K. Fahem, 2008. "A note on ideal Nash equilibrium in multicriteria games," Post-Print hal-00716317, HAL.
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    Cited by:

    1. M. G. Brikaa & Zhoushun Zheng & El-Saeed Ammar, 2020. "Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals," Mathematics, MDPI, vol. 8(3), pages 1-30, February.
    2. Naouel Yousfi-Halimi & Mohammed Said Radjef & Hachem Slimani, 2018. "Refinement of pure Pareto Nash equilibria in finite multicriteria games using preference relations," Annals of Operations Research, Springer, vol. 267(1), pages 607-628, August.

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