Please solve out these 2 questions of game theory.

02. 03. Consider the following extensive game with imperfect information l2. 2. 2) {6, 6, 4) l0. 0. 0i {3, a, o) (o, o, 2) Find the Perfect Bayesian Nash Equilibrium (PBNE) and check for sequential rationality and consistency of beliefs r Consider the game when the inverse demand function is given by P(Q) = o~Q for Q s o and P(Q] = 0 for 0 > o. For values of cH and cL close enough that there is Nash equilibrium in which all outputs are positive, find this equilibrium. The information structure of the game is as follows: 6116