Consider two firms, 1 and 2, each producing an identical good simultaneously. This good has market demand given by the inverse demand function , where is price, and is market quantity. represents the amount produced by firm . Suppose production cost is zero for both firms.
-Solve for the collusive outcome in which two firms split monopoly profits. Is the profit for each firm in the collusive outcome larger than in the non-collusive outcome?
-If it is a one-time competition and each firm can not observe the output of the other firm. Do you think firms will choose the quantities in the collusive equilibrium? Why?