1. Mixed strategy Nash equilibrium (10 points). Find all mixed strategy equilibria of the following game. Player 2 L (q) R (1-q) T (r) 2,0 -1, 2 Player 1 B (1-r) x , 3 0,2 a) Derive player I's best response to player 2's mixed strategy (3 points). b) Derive player 2's best response to player I's mixed strategy (3 points). c) What (if any) is the mixed strategy Nash equilibrium if x = 1 (2 points). d) For which values of x there are no mixed strategy Nash equilibria (2 points)