k,-k 3.-3 Z B A 2 P 9 1 W Y 0,0 High 1.-1 O -k.k Z Low 191- -3,3 X 1- p 1- B' A' W Y 0,0 1.-1 1. (10 points) For what values of k is there a Perfect Bayesian Equilibrium where Pl plays AA'? 2. (10 points) For what values of k is there a Perfect Bayesian Equilibrium where P1 plays AB'? 3. (10 points) For what values of k is there a Perfect Bayesian Equilibrium where P1 plays BB'?Consider the following 1. (10 points) Write this game in its Bayesian normal form. 2. (5 points} Is there a Bayesian Nash Equilibrium where player 1 plays MT 3. (5 points) What beliefs of player 2 [values for p and q) would be consistent with player 1 playing the strategy AA"? 4. (10 points) Is there a PBE where player 1 plays AB"? 5. (10 points) Is there a PBE where player 1 plays AN? 10,7 1,4 10,0 1,4 1. (5 points} Is there a Perfect Bayesian Equilibrium where player 2 plays the pure strategy X? 2. (10 points] Is there a Perfect Bayesian Equilibrium where player 1 plays BB"? 3. (10 points) Does this game have any Perfect Bayesian Equilibrium where Player 1 plays a mixed-strategy? 4. (5 points) If Player 2 could, before playing the game, commit to playing one strategy. so that Player 1 would already know the strategy of player 2 ahead of time! which strategy should player 2 choose