Question 2. Consider the following matrix game: 2 (1, 2) (3, 1) 2 (2,0) (1, 2) Let player 1 be the row player. In the payoff matrix, the first payoff is for player 1. With just two strategies for each player, a mixed strategy may be identified as the probability of playing the first strategy. Denote this by x for player 1 and y for player 2. 1. Does the game have a pure strategy equilibrium? Explain your answer. 2. Find the mixed strategy Nash equilibrium. 3. The best reply mapping of player 2 associates to each x of player 1, the set of probability distributions on pure strategies of player 2 which are best responses to r. Graph the best response mapping of player 2, b2 (I)