In this game, P1 observes Nature's move, but P2 does not.

With probability p, q, and 1?p?q, such that both p, q ?(0,1) (i.e. neither p nor q can be exactly 0 or 1), two players, P1 and P2, play the following games:

1. Draw the extensive form of this game (no need to write down the payoffs).

2. Identify the set of rationalizable strategy profiles.

3. For which values of p does this game has two Bayesian Nash equilibrium in pure strategies?