Question 53: Given that a duopoly's inverse market demand curve is P = 120-Q which is shared by two firms namely Firm A and Firm B and (Q = QA +QB.) The two firms have the same cost functions where Marginal cost is 20. a. Under the Cournot equilibrium, calculate the output of each firm QA and QB and total output Q b. Under a Collusive equilibrium, calculate the output of each firm and the total output Q c. Under the Stackelberg equilibrium where Firm A has first mover advantage, calculate the output of each firm d. Calculate the market price at each equilibrium output under Cournot, collusive and Stackelberg models

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Question 53: Given that a duopoly's inverse market demand curve is P = 120-Q which is shared by two
firms namely Firm A and Firm B and (Q=QA +QB.) The two firms have the same cost functions where
Marginal cost is 20.
a. Under the Cournot equilibrium, calculate the output of each firm QA and QB and total output Q
b. Under a Collusive equilibrium, calculate the output of each firm and the total output Q
C. Under the Stackelberg equilibrium where Firm A has first mover advantage, calculate the output
of each firm
d. Calculate the market price at each equilibrium output under Cournot, collusive and Stackelberg
models
Transcribed Image Text:Question 53: Given that a duopoly's inverse market demand curve is P = 120-Q which is shared by two firms namely Firm A and Firm B and (Q=QA +QB.) The two firms have the same cost functions where Marginal cost is 20. a. Under the Cournot equilibrium, calculate the output of each firm QA and QB and total output Q b. Under a Collusive equilibrium, calculate the output of each firm and the total output Q C. Under the Stackelberg equilibrium where Firm A has first mover advantage, calculate the output of each firm d. Calculate the market price at each equilibrium output under Cournot, collusive and Stackelberg models
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