Decomposition of games: some strategic considerations

Joseph Abdou, Nikolaos Pnevmatikos (), Marco Scarsini and Xavier Venel ()
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Nikolaos Pnevmatikos: LEMMA - Laboratoire d'économie mathématique et de microéconomie appliquée - UP2 - Université Panthéon-Assas
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 nationale des ponts et chaussées - 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

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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.

Keywords: Decomposition of games; Potential games; Harmonic games; Duplicate strategies; Gradient operator; Projection operator; Décomposition de jeux; Jeux potentiels; Jeux harmoniques; Stratégies dupliquées; Opérateur gradient; Opérateur de projection (search for similar items in EconPapers)
Date: 2019-02
New Economics Papers: this item is included in nep-gth
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02079215v1
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Citations: View citations in EconPapers (1)

Published in 2019

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Related works:
Journal Article: Decomposition of Games: Some Strategic Considerations (2022)
Working Paper: Decomposition of Games: Some Strategic Considerations (2022)
Working Paper: Decomposition of Games: Some Strategic Considerations (2022)
Working Paper: Decomposition of games: some strategic considerations (2019)
Working Paper: Decomposition of games: some strategic considerations (2019)
Working Paper: Decomposition of games: some strategic considerations (2019)
Working Paper: Decomposition of games: some strategic considerations (2019)
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