Compare this equilibrium with the nash equilibrium of the

Question

Cournot's duopoly game with imperfect information: -

Consider the game when the inverse demand function is given by P(Q) = α - Q for Q ≤ α and P(Q) = 0 for Q > α. For values of c_H and c_L close enough that there is a Nash equilibrium in which all outputs are positive, find this equilibrium.

Compare this equilibrium with the Nash equilibrium of the game in which firm 1 knows that firm 2's unit cost is c_L, and with the Nash equilibrium of the game in which firm 1 knows that firm 2's unit cost is c_H.