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We investigate a model for representing large multiplayer games, whichsatisfy strong symmetry properties. This model is made of multiple copies of anarena; each player plays in his own arena, and can partially observe what theother players do. Therefore, this game has partial information and symmetryconstraints, which make the computation of Nash equilibria difficult. We showseveral undecidability results, and for bounded-memory strategies, we preciselycharacterize the complexity of computing pure Nash equilibria (for qualitativeobjectives) in this game model.

Nash Equilibria in Symmetric Games with Partial Observation