Two identical firms compete as a Cournot duopoly. The inverse market demand they face is P-128 - 4Q. The total cost function for each firm is TC(Q;)=8Q; where i is firm 1 or firm 2. Based on this information firm 1 and 2's best response functions are Q₁16-0.25Q₂ and Q2-16-0.25Q1. Q₁16-0.5Q₂ and Q2-16-0.5Q₁- Q1-15-0.25Q2 and Q2=15-0.25Q1. Q₁15-0.5Q2 and Q2 = 15-0.5Q₁.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter12: Price And Output Determination: Oligopoly
Section: Chapter Questions
Problem 2E
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Two identical firms compete as a Cournot duopoly. The inverse market demand they face is P-128 - 4Q. The
total cost function for each firm is TC(Q;)=8Q; where i is firm 1 or firm 2. Based on this information firm 1 and
2's best response functions are
Q₁16-0.25Q₂ and Q2-16-0.25Q1.
Q₁16-0.5Q₂ and Q2-16-0.5Q₁.
Q1-15-0.25Q2 and Q2=15-0.25Q1.
Q₁15 -0.5Q2 and Q2 = 15-0.5Q₁.
Transcribed Image Text:Two identical firms compete as a Cournot duopoly. The inverse market demand they face is P-128 - 4Q. The total cost function for each firm is TC(Q;)=8Q; where i is firm 1 or firm 2. Based on this information firm 1 and 2's best response functions are Q₁16-0.25Q₂ and Q2-16-0.25Q1. Q₁16-0.5Q₂ and Q2-16-0.5Q₁. Q1-15-0.25Q2 and Q2=15-0.25Q1. Q₁15 -0.5Q2 and Q2 = 15-0.5Q₁.
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