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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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    Cited by:

    1. 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.
    2. Anna Rettieva, 2022. "Dynamic Multicriteria Game with Pollution Externalities," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    3. Bertrand Crettez & Naila Hayek & Peter M. Kort, 2021. "A Dynamic Multi-Objective Duopoly Game with Capital Accumulation and Pollution," Mathematics, MDPI, vol. 9(16), pages 1-34, August.

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