consider the cournot duopoly model in which two

Question

Consider the Cournot duopoly model in which two rms, 1 and 2, simultaneously choose the quantities they will sell in the market, q₁ and q₂. The price each receives for each unity given these quantities is P(q₁; q₂) = a b(q₁ + q₂). Suppose that each rm has probability  of having unit costs of cL and (1 - μ) of having unit costs of c_H, where c_H > c_L. Solve for the Bayesian Nash equilibrium.