2. Suppose that the following game is repeated infinitely by the same two players. Each time, they observe how it was played previously before playing it again. Player 2 A B Player 1 5, 5 12, 2 2, 12 3, 3 B Suppose that each player has a discount factor of 0.9. Is it a subgame perfect Nash equilibrium for each player to play the following strategy? Show your work and explain your answer. In the first period, play A. In subsequent periods, play A provided (A,A) has been played in all previous periods. Otherwise, play B.