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Dynamic Multicriteria Games with Finite Horizon

Author

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  • Anna Rettieva

    (Institute of Applied Mathematical Research of the Karelian Research Centre of RAS, 11, Pushkinskaya Str., Petrozavodsk 185910, Russia
    Saint-Petersburg State University, 7–9, Universitetskaya Nab., Saint-Petersburg 199034, Russia
    Current address: 11, Pushkinskaya str., Petrozavodsk 185910, Russia.)

Abstract

The approaches to construct optimal behavior in dynamic multicriteria games with finite horizon are presented. To obtain a multicriteria Nash equilibrium, the bargaining construction (Nash product) is adopted. To construct a multicriteria cooperative equilibrium, a Nash bargaining scheme is applied. Dynamic multicriteria bioresource management problem with finite harvesting times is considered. The players’ strategies and the payoffs are obtained under cooperative and noncooperative behavior.

Suggested Citation

  • Anna Rettieva, 2018. "Dynamic Multicriteria Games with Finite Horizon," Mathematics, MDPI, vol. 6(9), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:156-:d:167806
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    References listed on IDEAS

    as
    1. Patrone, F. & Pusillo, L. & Tijs, S.H., 2007. "Multicriteria games and potentials," Other publications TiSEM 47a4248e-bbe4-4037-99f1-f, 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. 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.
    4. Fioravante Patrone & Lucia Pusillo & Stef Tijs, 2007. "Multicriteria games and potentials," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 138-145, July.
    5. L. S. Shapley & Fred D. Rigby, 1959. "Equilibrium points in games with vector payoffs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 6(1), pages 57-61, March.
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    Cited by:

    1. Anna Rettieva, 2022. "Dynamic Multicriteria Game with Pollution Externalities," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    2. Anna Rettieva, 2020. "Rational Behavior in Dynamic Multicriteria Games," Mathematics, MDPI, vol. 8(9), pages 1-16, September.
    3. Anna N. Rettieva, 2022. "Dynamic multicriteria games with asymmetric players," Journal of Global Optimization, Springer, vol. 83(3), pages 521-537, July.

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