Assume that there are 2 firms producing an identical product. Both firms have the same total cost
Question:
Assume that there are 2 firms producing an identical product. Both firms have the same total cost function TC(q) =q2. The inverse demand function for the firms' output is p=120 Q, where Q is the total output and p is price.
1. What are the equilibrium price, output and profits of each firm if they are competing with each other? (Hint: Consider the equilibrium in a Cournot
game.)
2. What happens if they form a cartel? Calculate the equilibrium price, output, and profits for the cartel?
3. If a single firm created, what would its output and profits be, assuming the other firm maintains the cartel price? Calculate the new outputs and profits for bath firms:
4. Discuss why it is hard to enforce a cartel. Explain using words. DO NOT do any calculations. DO NOT draw any graphs.
5. What can the cartel members do to enforce the cartel agreement? Propose a method. Describe the method using words. DO NOT do any calculations. DO NOT draw any graphs.