DUOPOLY MODELS the market demand for pair of duoplisti is given by P= 36-3Q where Q=q1+q2. for each duoplist the constant per unit marginal cost is $18/unit and fixed cost are zero (1) find the equilibrium market price and the equilibrium quantites and profits for cournot duoplist. (2) find the equilibrium market price and the equilibrium quantity and profit for each firm assuming that the firm act as stackelberg leader and cournot follower with firm 1 as leader (3) find equilibrium price and the equilibrium quantities and profit for bertrand duopolists (4) find the equilibrium market price and the equilibrium quantities and profits for firms acting as duopolistic (equally sharing) cartal. (5) using well labelled digrams compare the results for the four duopoly models in (1)-(4) in terms of market price and quantity the equilibrium quantity or each firm and the profits for each firm. note (the comparison requir three diagrams for the overall market the duoplists best respons or reaction function curves and the profit possibilities) Solution 1. Inverse demand function is P = 36-3(q1+q2) Total cost function of both the firms is C1 = 18q1 and C2 = 18q2 MC = 18 for both the firms. To find firm 1.