Consider an oligopoly in which firms choose quantities. The inverse market demand curve is given by P = a - b (q₁ +92), where ɖ₁ is the quantity produced by Firm 1, and 92 is the quantity produced by Firm 2. Each firm has a marginal cost equal to c. 1. What is the equilibrium market quantity if the two firms acted as a cartel (i.e., attempt to set prices and outputs together to maximize total industry profits). How about the equilibrium market price? 2. Instead of cartel, suppose now firm 1 acts as the leader and firm 2 acts as the follower. What is the Stackelberg equilibrium quantities determined by each firm? What is the equilibrium market price? 3. Find using the Stackelberg quantities and price. Whose profit is higher? π1 π2
Consider an oligopoly in which firms choose quantities. The inverse market demand curve is given by P = a - b (q₁ +92), where ɖ₁ is the quantity produced by Firm 1, and 92 is the quantity produced by Firm 2. Each firm has a marginal cost equal to c. 1. What is the equilibrium market quantity if the two firms acted as a cartel (i.e., attempt to set prices and outputs together to maximize total industry profits). How about the equilibrium market price? 2. Instead of cartel, suppose now firm 1 acts as the leader and firm 2 acts as the follower. What is the Stackelberg equilibrium quantities determined by each firm? What is the equilibrium market price? 3. Find using the Stackelberg quantities and price. Whose profit is higher? π1 π2
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Consider an oligopoly in which firms choose
quantities. The inverse market demand curve is
given by P = a - b (9₁ +92), where 9₁ is the
quantity produced by Firm 1, and 92 is the
quantity produced by Firm 2. Each firm has a
marginal cost equal to c.
1. What is the equilibrium market quantity if
the two firms acted as a cartel (i.e., attempt
to set prices and outputs together to
maximize total industry profits). How about
the equilibrium market price?
2. Instead of cartel, suppose now firm 1 acts as
the leader and firm 2 acts as the follower.
What is the Stackelberg equilibrium
quantities determined by each firm? What is
the equilibrium market price?
π2
3. Find using the Stackelberg quantities and
price. Whose profit is higher?
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