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 = AC, = 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?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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d) Solve for the Bertrand equilibrium output, price and profit for each firm. Explain your calculations. Does the solution justify the Bertrand paradox?

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?
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?
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