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On the hardness of game equivalence under local isomorphism

Joaquim GabarróAlina GarcíaMaria Serna — 2013

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We introduce a type of isomorphism among strategic games that we call . Local isomorphisms is a weaker version of the notions of strong and weak game isomorphism introduced in [J. Gabarro, A. Garcia and M. Serna, 412 (2011) 6675–6695]. In a local isomorphism it is required to preserve, for any player, the player’s preferences on the sets of strategy profiles that differ only in the action selected by this player. We show that the game isomorphism problem for local isomorphism is equivalent to the...

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