(2) Please find the all pure-strategy perfect Bayesian Nash equilib ria of the following two-person game in which Nature first deter- mines the type of player 1, ie., player 1 has H-type and L-type with probabilities p e [0, 1] and (1 -p), respectively. (Hint: you have to consider all possible PBEs for each p e [0, 1].) (10%) A -2,2 N" O" NJ 0, 0 - (9) R H (p) -1,0 L (1 - P) A 2, -1 0,04 NL 1 (1 - 4) R -1,0