Imperfect monitoring and impermanent reputations in infinite dynamic games

This paper tried to extend Cripps, Mailath and Samuelson (2004, 2007)´s impermanent reputation results from repeated games into dynamic games so as to make it applicable to many dynamic settings. We consider the impermanent reputation in the same dynamic setting as that in Celentani and Pesendorfer (1996). By the assumptions of anonymity, our formal analysis could be on the strategic interactions of two long-run players with one´s actions private while the other´s public. Under imperfect monitoring, the large player´s deviate from the commitment strategy would be statistically perceived by the opponent not immediately but some periods later.