part A B and E only

Consider the following normal form game: Left Center Right Player 2 Player 1 Top Bottom 2,2 3,2 5,x y, 3 1,4 0,1 As usual, the left number in each box represents the payoff of player 1 (the "row" player) while the right number represents the payoff of player 2 (the "column" player). (a) For which values of x will Right be a dominated strategy for player 2? Explain your answer. (b) a Can you find a value of x for which player 2 will have a dominant strategy? Explain your answer. (c) For which values of y will Player 1 have a dominant strategy? Explain your answer. (d) Suppose that x = y = 1. Solve the game by iterative elimination of dominated strategies. (e) Suppose that x = 3 and find the Nash equilibrium of the game. Explain why you do not need to know the value of y in order to find the Nash equilibrium. Consider the following normal form game: Left Center Right Player 2 Player 1 Top Bottom 2,2 3,2 5,x y, 3 1,4 0,1 As usual, the left number in each box represents the payoff of player 1 (the "row" player) while the right number represents the payoff of player 2 (the "column" player). (a) For which values of x will Right be a dominated strategy for player 2? Explain your answer. (b) a Can you find a value of x for which player 2 will have a dominant strategy? Explain your answer. (c) For which values of y will Player 1 have a dominant strategy? Explain your answer. (d) Suppose that x = y = 1. Solve the game by iterative elimination of dominated strategies. (e) Suppose that x = 3 and find the Nash equilibrium of the game. Explain why you do not need to know the value of y in order to find the Nash equilibrium