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Ideal Equilibria in Non-Cooperative Multicriteria Games

Author

Listed:
  • Voorneveld, M.
  • Grahn, S.
  • Dufwenberg, M.

Abstract

Pareto equilibria in multicriteria games can be computed as the Nash equilibria games, obtained by assigning weights to the separate criteria of a player. To analysts, these weights are usually unknown. This paper therefore proposes ideal equilibria, strategy profiles that are robust against unilateral deviations of the players no matter what improtance is assigned to the criteria.

Suggested Citation

  • Voorneveld, M. & Grahn, S. & Dufwenberg, M., 1999. "Ideal Equilibria in Non-Cooperative Multicriteria Games," Papers 1999:19, Uppsala - Working Paper Series.
    • Handle: RePEc:fth:uppaal:1999:19
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    Cited by:

    1. 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.
    2. Sasaki, Yasuo, 2022. "Unawareness of decision criteria in multicriteria games," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 31-40.
    3. Anna Rettieva, 2018. "Dynamic Multicriteria Games with Finite Horizon," Mathematics, MDPI, vol. 6(9), pages 1-9, September.
    4. Alexandre Bevilacqua Leoneti & René Bañares-Alcántara & Eduardo Cleto Pires & Sonia Valle Walter Borges Oliveira, 2022. "A Multi-Criteria and Multi-Agent Framework for supporting complex decision-making processes," Group Decision and Negotiation, Springer, vol. 31(5), pages 1025-1050, October.
    5. Kuzyutin, Denis & Smirnova, Nadezhda & Gromova, Ekaterina, 2019. "Long-term implementation of the cooperative solution in a multistage multicriteria game," Operations Research Perspectives, Elsevier, vol. 6(C).
    6. 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.
    7. Anna Rettieva, 2022. "Dynamic Multicriteria Game with Pollution Externalities," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    8. I. Nishizaki & T. Notsu, 2007. "Nondominated Equilibrium Solutions of a Multiobjective Two-Person Nonzero-Sum Game and Corresponding Mathematical Programming Problem," Journal of Optimization Theory and Applications, Springer, vol. 135(2), pages 217-239, November.
    9. Anna Rettieva, 2017. "Equilibria in Dynamic Multicriteria Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 1-21, March.
    10. 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.
    11. Yasuo Sasaki, 2019. "Rationalizability in multicriteria games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 673-685, June.
    12. Hadi Charkhgard & Martin Savelsbergh & Masoud Talebian, 2018. "Nondominated Nash points: application of biobjective mixed integer programming," 4OR, Springer, vol. 16(2), pages 151-171, June.
    13. A. Zapata & A. M. Mármol & L. Monroy & M. A. Caraballo, 2019. "A Maxmin Approach for the Equilibria of Vector-Valued Games," Group Decision and Negotiation, Springer, vol. 28(2), pages 415-432, April.
    14. Ge, Ge & Godager, Geir, 2021. "Predicting strategic medical choices: An application of a quantal response equilibrium choice model," Journal of choice modelling, Elsevier, vol. 39(C).
    15. Yu Zhang & Shih-Sen Chang & Tao Chen, 2021. "Existence and Generic Stability of Strong Noncooperative Equilibria of Vector-Valued Games," Mathematics, MDPI, vol. 9(24), pages 1-13, December.
    16. Anna N. Rettieva, 2020. "Cooperation in dynamic multicriteria games with random horizons," Journal of Global Optimization, Springer, vol. 76(3), pages 455-470, March.
    17. Lina Mallozzi, 2013. "An application of optimization theory to the study of equilibria for games: a survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(3), pages 523-539, September.
    18. Anna N. Rettieva, 2022. "Dynamic multicriteria games with asymmetric players," Journal of Global Optimization, Springer, vol. 83(3), pages 521-537, July.
    19. Kuzyutin, Denis & Smirnova, Nadezhda, 2023. "A dynamic multicriteria game of renewable resource extraction with environmentally concerned players," Economics Letters, Elsevier, vol. 226(C).

    More about this item

    Keywords

    GAME THEORY ; ECONOMIC EQUILIBRIUM;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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