Folk theorems in repeated games with switching costs

We study how switching costs affect the subgame perfect equilibria in repeated games. We show that (i) the Folk Theorem holds whenever the players are patient enough; (ii) the set of equilibrium payoffs is obtained by considering the payoffs of a simple one-shot auxiliary game; and (iii) the switching costs have a negative impact on a player in the infinitely undiscounted repeated game but can be beneficial for him in a finitely repeated game or in a discounted game.