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Stability and cooperative solution in stochastic games

Author

Listed:
  • Elena M. Parilina

    (Saint Petersburg State University)

  • Alessandro Tampieri

    (University of Bologna and CREA
    CREA, University of Luxembourg)

Abstract

This paper analyses the principles of stable cooperation for stochastic games. Starting from the non-cooperative version of a discounted, non zero-sum stochastic game, we build its cooperative form and find the cooperative solution. We then analyse the conditions under which this solution is stable. Principles of stability include subgame consistency, strategic stability and irrational behaviour proof of the cooperative solution. We finally discuss the existence of a stable cooperative solution, and consider a type of stochastic games for which the cooperative solution is found and the principles of stable cooperation are checked.

Suggested Citation

  • Elena M. Parilina & Alessandro Tampieri, 2018. "Stability and cooperative solution in stochastic games," Theory and Decision, Springer, vol. 84(4), pages 601-625, June.
    • Handle: RePEc:kap:theord:v:84:y:2018:i:4:d:10.1007_s11238-017-9619-7
    DOI: 10.1007/s11238-017-9619-7
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    Cited by:

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    2. 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.
    3. Troncoso-Valverde, Cristián & Chávez-Bustamante, Felipe, 2024. "Do you want to know a secret? Strategic alliances and competition in product markets," European Journal of Operational Research, Elsevier, vol. 313(3), pages 1180-1190.
    4. Elena Parilina & Leon Petrosyan, 2020. "On a Simplified Method of Defining Characteristic Function in Stochastic Games," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    5. Al-Jarhi, Mabid Ali M. M., 2016. "An Economic Theory of Islamic Finance Regulation," Islamic Economic Studies, The Islamic Research and Training Institute (IRTI), vol. 24, pages 1-44.
    6. Parilina, Elena M. & Zaccour, Georges, 2022. "Payment schemes for sustaining cooperation in dynamic games," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).

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    More about this item

    Keywords

    Cooperative stochastic game; Subgame perfect equilibrium; Subgame consistency; Strategic stability; Irrational behaviour proof;
    All these keywords.

    JEL classification:

    • 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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