Q2 Consider the following inverse demand function, p(Q) = a - bQ, Q = q1 + 92, where a and b are positive parameters and q denotes firm i's output, i = 1, 2. Assume that the total cost of firm i is cq?/2, with c > 0. Firms choose quantities simultaneously and non cooperatively (Cournot competition). The Cournot game described above is infinitely repeated. Firms use grim trigger strategies (infinite Nash reversion). Firms discount future profits at a rate r > 0. a ) Derive the critical discount factor above which full cartelization (joint profit maximization) is sustainable as a Subgame Perfect Nash Equilibrium (SPNE) of the infinitely repeated game. b) Compute the impact of c on the critical discount factor and provide a brief comment