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Decomposition of games: some strategic considerations

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Working paper
Author/s: 
Joseph Abdou, Nikolaos Pnevmatikos, Marco Scarsini, Xavier Venel
Issue number: 
2019.06
Series: 
Documents de Travail du Centre d’Economie de la Sorbonne
Publisher: 
Centre d’Economie de la Sorbonne
Year: 
2019
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.
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