Decomposition of Games: Some Strategic Considerations

Joseph Abdou (), Nikolaos Pnevmatikos (), Marco Scarsini and Xavier Venel ()
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Joseph Abdou: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique
Nikolaos Pnevmatikos: LEMMA - Laboratoire d'économie mathématique et de microéconomie appliquée - Université Paris-Panthéon-Assas
Xavier Venel: LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma]

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Abstract: Orthogonal direct-sum decompositions of finite games into potential, harmonic and nonstrategic components exist in the literature. 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 transformations such as duplications of strategies or positive affine mappings of the payoffs. We show the need to define classes of decompositions to achieve commutativity of game transformations and decompositions.

Keywords: γ-potential games; duplicate strategies; gradient operator; projection operator; decomposition of games; harmonic games (search for similar items in EconPapers)
Date: 2022-02
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Published in Mathematics of Operations Research, 2022, 47 (1), pp.176-208. ⟨10.1287/moor.2021.1123⟩

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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 (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)
Working Paper: Decomposition of games: some strategic considerations (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04085301

DOI: 10.1287/moor.2021.1123

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