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Cooperation in dynamic multicriteria games with random horizons

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  • Anna N. Rettieva

    (Institute of Applied Mathematical Research of the Karelian Research Centre of RAS
    Qingdao University
    Institute of Applied Mathematics of Shandong)

Abstract

In this paper a new approach to construct the cooperative behavior in dynamic multicriteria games is presented. To obtain a multicriteria Nash equilibrium the bargaining construction (Nash product) is adopted. To design a multicriteria cooperative equilibrium Nash bargaining scheme is applied with the multicriteria Nash equilibrium payoffs playing the role of the status quo points. Dynamic multicriteria bioresource management problem with random harvesting times is considered. The players’ strategies and the payoffs are obtained under cooperative and noncooperative behavior.

Suggested Citation

  • Anna N. Rettieva, 2020. "Cooperation in dynamic multicriteria games with random horizons," Journal of Global Optimization, Springer, vol. 76(3), pages 455-470, March.
    • Handle: RePEc:spr:jglopt:v:76:y:2020:i:3:d:10.1007_s10898-018-0658-6
    DOI: 10.1007/s10898-018-0658-6
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    References listed on IDEAS

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

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