^Y7

3. Consider the following signalling game. Nature Type t [p = 3/4] Type s [(1 - p) = 1/4] Sender Sender y Receiver Receiver . . . . . . . . b (3, 2) (5,0) (2,3) (0, 1) (1, 1) (6, 4) (4, 2) (2,3) The number on the left at a terminal node is the sender's payoff and the number on the right is the receiver's payoff. (a) Find all separating perfect Bayes-Nash equilibria. (b) Find all pooling perfect Bayes-Nash equilibria