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Long-term implementation of the cooperative solution in a multistage multicriteria game

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  • Kuzyutin, Denis
  • Smirnova, Nadezhda
  • Gromova, Ekaterina

Abstract

In order to find an optimal and time consistent cooperative path in multicriteria multistage game the minimal sum of relative deviations rule is introduced. Using this rule one can construct a vector-valued characteristic function that is weakly superadditive. The sustainability of the cooperative agreement is ensured by using an imputation distribution procedure (IDP) based approach.

Suggested Citation

  • Kuzyutin, Denis & Smirnova, Nadezhda & Gromova, Ekaterina, 2019. "Long-term implementation of the cooperative solution in a multistage multicriteria game," Operations Research Perspectives, Elsevier, vol. 6(C).
  • Handle: RePEc:eee:oprepe:v:6:y:2019:i:c:s221471601830321x
    DOI: 10.1016/j.orp.2019.100107
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    References listed on IDEAS

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    1. F. R. Fernández & M. A. Hinojosa & J. Puerto, 2002. "Core Solutions in Vector-Valued Games," Journal of Optimization Theory and Applications, Springer, vol. 112(2), pages 331-360, February.
    2. Michael Finus & Alejandro Caparrós (ed.), 2015. "Game Theory and International Environmental Cooperation," Books, Edward Elgar Publishing, number 15345.
    3. Voorneveld, Mark & Vermeulen, Dries & Borm, Peter, 1999. "Axiomatizations of Pareto Equilibria in Multicriteria Games," Games and Economic Behavior, Elsevier, vol. 28(1), pages 146-154, July.
    4. Petrosjan, Leon & Zaccour, Georges, 2003. "Time-consistent Shapley value allocation of pollution cost reduction," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 381-398, January.
    5. 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.
    6. Haddad, Malik & Sanders, David, 2018. "Selection of discrete multiple criteria decision making methods in the presence of risk and uncertainty," Operations Research Perspectives, Elsevier, vol. 5(C), pages 357-370.
    7. Graziano Pieri & Lucia Pusillo, 2010. "Interval Values for Multicriteria Cooperative Games," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 4(2), pages 189-200, June.
    8. 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:

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    3. Denis Kuzyutin & Nadezhda Smirnova, 2020. "Subgame Consistent Cooperative Behavior in an Extensive form Game with Chance Moves," Mathematics, MDPI, vol. 8(7), pages 1-20, July.

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