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In a homogeneous product duopoly, each firm has constant marginal cost equal to 10.  The market inverse...

In a homogeneous product duopoly, each firm has constant marginal cost equal to 10.  The market inverse demand curve is p = 250 2Q  where Q = q1 + q2 is the sum of the outputs of firms 1 and 2, and p  is the price of the good. Marginal and average cost for each firm is 10.  

(a) What are the Cournot and Bertrand equilibrium quantities and prices in this market?  In a two period version of the model in which each firm can observe the other’s behaviour in the first period, will the firms collude?

(b) Find the outcome for the Stackelberg model, assuming firm 1 is the “leader” (i.e., moves first) and firm 2 is the “follower” (i.e., moves second).

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