4 Game theory questions. please provide solution

1. Suppose the following nitely repeated game C(T, 5) where the stage game is: and where we assume that 6 = 1. (a) Specify the purestrategy Nash equilibria of the stage game. (b) Let T = 2. Is there a subgame perfect equilibrium that allows {X , X } to be played in any period? Carefully specify such a strategy, if it exists. (c) Supposed instead that T = 3. Can {X , X } be part of a subgame perfect equilib rium in this case? Carefully specify such a strategy, if it exists. 2. Consider an innitely repeated game G (on, (5) where the stage game is: Assume that O S 6