Player 2 f g h 0,0 3, 5 1, 6 -3, 3 h X, y 0 , 7 4, y 10, 5 Player 1 C x, 3 4, 0 2, 1 -4, -2 d -2, 4 0, 5 0, 7 -7,3 Consider the payoff matrix above, and answer the following questions about this game. a) (0.5 marks) Suppose x = 2 and y = 3. After all strategies that are dominated by a pure strategy are iteratively deleted for both players, how many strategies remain for Player 1? ) (0.5 marks) Suppose x = 2 and y = 3. After all strategies that are dominated by a pure strategy are iteratively deleted for both players, how many strategies remain for Player 2? c) (1 marks) Suppose x = 2 and y = 3. What is the sum of both players' payoffs in all pure strategy Nash equilibria of the game? d) (0.5 marks) Suppose x = 2 and y = 9. After all strategies that are dominated by a pure strategy are iteratively deleted for both players, how many strategies remain for Player 1? e) (0.5 marks) Suppose x = 2 and y = 9. After all strategies that are dominated by a pure strategy are iteratively deleted for both players, how many strategies remain for Player 2? f) (1 marks) Suppose x = 2 and y = 9. What is the sum of both players' payoffs in all pure strategy Nash equilibria of the game