= Consider two firms, firm 1 and firm 2, facing the demand curve P = 24-2Q, where Q Q₁+Q₂. The firms' cost functions are C₁(Q₁) = Q and C₂ (Q₂) = 2Q². Derive the reaction functions if the firms behave non-cooperatively. a. b. C. d. What is each firm's Cournot-Nash-Equilibrium output and profit if they behave non-cooperatively? Draw the firms' reaction functions and show the equilibrium. Suppose that both firms have entered the industry as a cartel. What is the joint profit-maximising level of output? How much will each firm produce? How much is the profit of each firm?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.5P
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Consider two firms, firm 1 and firm 2, facing the demand curve P = 24 - 2Q, where Q =
Q₁ + Q₂. The firms' cost functions are C₁(Q₁) = Q² and C₂(Q₂) = 2Q².
Derive the reaction functions if the firms behave non-cooperatively.
a.
b.
C.
d.
e.
What is each firm's Cournot-Nash-Equilibrium output and profit if they behave
non-cooperatively?
Draw the firms' reaction functions and show the equilibrium.
Suppose that both firms have entered the industry as a cartel. What is the joint
profit-maximising level of output? How much will each firm produce? How much
is the profit of each firm?
Compare and explain graphically each firm's Cournot-Nash-Equilibrium output
with their new output where firm 2 chooses its output first. Put firm 1's output
on the horizontal axis and firm 2's on the vertical axis.
(Note: No calculation is required.)
Transcribed Image Text:= Consider two firms, firm 1 and firm 2, facing the demand curve P = 24 - 2Q, where Q = Q₁ + Q₂. The firms' cost functions are C₁(Q₁) = Q² and C₂(Q₂) = 2Q². Derive the reaction functions if the firms behave non-cooperatively. a. b. C. d. e. What is each firm's Cournot-Nash-Equilibrium output and profit if they behave non-cooperatively? Draw the firms' reaction functions and show the equilibrium. Suppose that both firms have entered the industry as a cartel. What is the joint profit-maximising level of output? How much will each firm produce? How much is the profit of each firm? Compare and explain graphically each firm's Cournot-Nash-Equilibrium output with their new output where firm 2 chooses its output first. Put firm 1's output on the horizontal axis and firm 2's on the vertical axis. (Note: No calculation is required.)
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