Consider a market with two identical firms, Firm A and Firm B. The market demand is: P = 100 –Q where Q = Qa + QB . The cost conditions are MC, = MCg = ACa = ACg = 24. (Hint: Round your solutions to 2 decimal places.) a) Assume this market has a Stackelberg leader, Firm A. Solve for the quantity, price and profit for each firm. Explain your calculations. b) How does this compare to the Cournot-Nash equilibrium quantity, price and profit? Explain your calculations. c) Present the Stackelberg and Cournot equilibrium output using a diagram.
Consider a market with two identical firms, Firm A and Firm B. The market demand is: P = 100 –Q where Q = Qa + QB . The cost conditions are MC, = MCg = ACa = ACg = 24. (Hint: Round your solutions to 2 decimal places.) a) Assume this market has a Stackelberg leader, Firm A. Solve for the quantity, price and profit for each firm. Explain your calculations. b) How does this compare to the Cournot-Nash equilibrium quantity, price and profit? Explain your calculations. c) Present the Stackelberg and Cournot equilibrium output using a diagram.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Consider a market with two identical firms, Firm A and Firm B. The market demand is:
1
P = 100 -
where Q = Qa + QB - The cost conditions are MCA = MCg = ACĄ = ACg = 24.
(Hint: Round your solutions to 2 decimal places.)
a) Assume this market has a Stackelberg leader, Firm A. Solve for the quantity, price and
profit for each firm. Explain your calculations.
b) How does this compare to the Cournot-Nash equilibrium quantity, price and profit?
Explain your calculations.
c) Present the Stackelberg and Cournot equilibrium output using a diagram.
d) Solve for the Bertrand equilibrium output, price and profit for each firm. Explain your
calculations. Does the solution justify the Bertrand paradox?
e) The crude oil market can be described as a Nash-Cournot market, in which Saudi
Arabia acts as Stackelberg leader. Do you agree with this statement?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F046b5a41-0bdc-4f77-a709-3575b5fbcccd%2F6570fb11-15bc-4c1e-8462-9744c99393ca%2Fl1dzci_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a market with two identical firms, Firm A and Firm B. The market demand is:
1
P = 100 -
where Q = Qa + QB - The cost conditions are MCA = MCg = ACĄ = ACg = 24.
(Hint: Round your solutions to 2 decimal places.)
a) Assume this market has a Stackelberg leader, Firm A. Solve for the quantity, price and
profit for each firm. Explain your calculations.
b) How does this compare to the Cournot-Nash equilibrium quantity, price and profit?
Explain your calculations.
c) Present the Stackelberg and Cournot equilibrium output using a diagram.
d) Solve for the Bertrand equilibrium output, price and profit for each firm. Explain your
calculations. Does the solution justify the Bertrand paradox?
e) The crude oil market can be described as a Nash-Cournot market, in which Saudi
Arabia acts as Stackelberg leader. Do you agree with this statement?
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