^{S 2}

2. Repeated Game Consider the following normal form game. Player 2 A B C D 10, 10 -1, -12 -1, 15 Player 1 E -12, -1 8,8 -1, -1 F 15, -1 -1, -1 0,0 (a) Suppose this game is played once. Find all pure strategy Nash equilibria. (b) Now suppose the game is played two times without discounting. Find all strategy profile that can be played in the first period in a SPNE. (c) Now suppose the game is played T times without discounting, where T is a finite number. Find the smallest T such that (E,A) is played in the first period. (d) Now suppose the game is played infinitely many times and the players have a same discount factor 6