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Decomposition of games: some strategic considerations

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  • Joseph M. Abdou

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, UP1 - Université Paris 1 Panthéon-Sorbonne)

  • Nikolaos Pnevmatikos

    (LEMMA - Laboratoire d'économie mathématique et de microéconomie appliquée - UP2 - Université Panthéon-Assas)

  • Marco Scarsini

    (LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma])

  • Xavier Venel

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, UP1 - Université Paris 1 Panthéon-Sorbonne)

Abstract

Candogan et al. (2011) provide an orthogonal direct-sum decomposition of finite games into potential, harmonic and non-strategic components. In this paper we study the issue of decomposing games that are strategically equivalent from a game-theoretical point of view, for instance games obtained via duplications of strategies or suitable linear transformations of payoffs. We consider classes of decompositions and show when two decompositions of equivalent games are coherent.

Suggested Citation

  • Joseph M. Abdou & Nikolaos Pnevmatikos & Marco Scarsini & Xavier Venel, 2019. "Decomposition of games: some strategic considerations," Post-Print halshs-02079215, HAL.
    • Handle: RePEc:hal:journl:halshs-02079215
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02079215
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    References listed on IDEAS

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    1. Srihari Govindan & Robert Wilson, 2009. "On Forward Induction," Econometrica, Econometric Society, vol. 77(1), pages 1-28, January.
    2. Adam Kalai & Ehud Kalai, 2013. "Cooperation in Strategic Games Revisited," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(2), pages 917-966.
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    Cited by:

    1. Santiago Guisasola & Donald Saari, 2020. "With Potential Games, Which Outcome Is Better?," Games, MDPI, vol. 11(3), pages 1-20, August.

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