There are two firms (Firm A and Firm B) competing in a Cournot game. The market demand is P=400-2Qa- 2Qb. The marginal cost for both firms is constant and is equal to $40. a) Derive the reaction functions for these firms. b) Draw the reaction functions on the graph, as done in class. Label the axes clearly and indicate which curve belongs to each firm. c) Solve for the Cournot equilibrium quantities for each firm and the market price.

Microeconomic Theory
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Chapter15: Imperfect Competition
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There are two firms (Firm A and Firm B) competing in a Cournot game. The market demand is P-400-2Qa-
2Qb. The marginal cost for both firms is constant and is equal to $40.
a) Derive the reaction functions for these firms.
b) Draw the reaction functions on the graph, as done in class. Label the axes clearly and indicate which curve
belongs to each firm.
c) Solve for the Cournot equilibrium quantities for each firm and the market price.
d) Draw a market graph that shows where the Cournot equilibrium lies relative to the perfectly competitive
market equilibrium.
e) Assuming these firms have no fixed costs, identify on your graph and calculate the total industry profit at
the Cournot equilibrium.
Transcribed Image Text:There are two firms (Firm A and Firm B) competing in a Cournot game. The market demand is P-400-2Qa- 2Qb. The marginal cost for both firms is constant and is equal to $40. a) Derive the reaction functions for these firms. b) Draw the reaction functions on the graph, as done in class. Label the axes clearly and indicate which curve belongs to each firm. c) Solve for the Cournot equilibrium quantities for each firm and the market price. d) Draw a market graph that shows where the Cournot equilibrium lies relative to the perfectly competitive market equilibrium. e) Assuming these firms have no fixed costs, identify on your graph and calculate the total industry profit at the Cournot equilibrium.
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