Cournot duopolists face a market demand curve given by P = 120 - Q where Q is total market demand. Each firm can produce output at a constant marginal cost of 30 per unit.
a. Find the equilibrium price and quantity for the total market.
b. If the duopolists in question above behave, instead, according to the Bertrand model, what will be the equilibrium price and quantity for the total market?
c. If the duopolists in question above behave according to the Stackelberg Leader-Follower model, what will be the equilibrium price and quantity for the total market? (dupolists is the leader)
d. If the duopolists in question above behave as a shared monopoly what will be the equilibrium price and quantity for the total market?