Decomposition of games: some strategic considerations

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Candogan et al. (2011) using the Helmholtz-Hodge theorem provide a decomposition result of finite games into potential, harmonic and non-strategic components. In this paper, in order to study how this result behaves over games that are strategically equivalent from a game-theoretical point of view, we generalize the referred decomposition to several metrics induced in the space of games so that the decomposition result deals now by usual game-theoretical conventions.
Joint work with Joseph Abdou, Nikolaos Pnevmatikos, and Marco Scarsini.