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Strategic Support of Node-Consistent Cooperative Outcomes in Dynamic Games Played Over Event Trees

Author

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  • Elena Parilina

    (Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, 7/9 Universitetskaya nab, Saint Petersburg 199034, Russia)

  • Georges Zaccour

    (Chair in Game Theory and Management, GERAD, HEC Montréal, Canada33000 Côte-Sainte-Catherine, Montréal, H3T 2A7, Canada)

Abstract

In this paper, we show that cooperative outcomes in a dynamic game played over an event tree can be supported strategically, that is, to be part of a subgame perfect ε-equilibrium. A numerical example illustrates our results.

Suggested Citation

  • Elena Parilina & Georges Zaccour, 2016. "Strategic Support of Node-Consistent Cooperative Outcomes in Dynamic Games Played Over Event Trees," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-16, June.
    • Handle: RePEc:wsi:igtrxx:v:18:y:2016:i:02:n:s0219198916400028
    DOI: 10.1142/S0219198916400028
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    References listed on IDEAS

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    Cited by:

    1. Parilina, Elena M. & Zaccour, Georges, 2022. "Payment schemes for sustaining cooperation in dynamic games," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    2. Elena M. Parilina & Georges Zaccour, 2017. "Node-Consistent Shapley Value for Games Played over Event Trees with Random Terminal Time," Journal of Optimization Theory and Applications, Springer, vol. 175(1), pages 236-254, October.
    3. Elena M. Parilina & Georges Zaccour, 2022. "Sustainable Cooperation in Dynamic Games on Event Trees with Players’ Asymmetric Beliefs," Journal of Optimization Theory and Applications, Springer, vol. 194(1), pages 92-120, July.

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    More about this item

    Keywords

    Stochastic games; S-adapted strategies; cooperative solution; ε-equilibrium; strategic support;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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