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Dynamic multicriteria games with asymmetric players

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  • Anna N. Rettieva

    (Qingdao University
    Institute of Applied Mathematics of Shandong
    Russian Academy of Sciences)

Abstract

In this paper a new approach to construct cooperative behavior in dynamic multicriteria games with asymmetric players is presented. To obtain noncooperative and cooperative equilibria the ideas of multi-objective optimization and game theory are combined. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium a compromise scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games, and the time-consistent payoff distribution procedure is presented. A dynamic bi-criteria bioresource management problem with different discount factors is considered. The strategies and payoffs of players are obtained under cooperative and noncooperative behavior.

Suggested Citation

  • Anna N. Rettieva, 2022. "Dynamic multicriteria games with asymmetric players," Journal of Global Optimization, Springer, vol. 83(3), pages 521-537, July.
    • Handle: RePEc:spr:jglopt:v:83:y:2022:i:3:d:10.1007_s10898-020-00929-5
    DOI: 10.1007/s10898-020-00929-5
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    References listed on IDEAS

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    Cited by:

    1. Panos M. Pardalos & Michael Khachay & Yuri Kochetov, 2022. "Special Issue: 18th International conference on mathematical optimization theory and operations research (MOTOR 2019)," Journal of Global Optimization, Springer, vol. 83(3), pages 403-404, July.
    2. Anna Rettieva, 2022. "Dynamic Multicriteria Game with Pollution Externalities," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    3. Kuzyutin, Denis & Smirnova, Nadezhda, 2023. "A dynamic multicriteria game of renewable resource extraction with environmentally concerned players," Economics Letters, Elsevier, vol. 226(C).

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