14. Cournot Oligopoly Problem 2 - heterogeneous costs duopoly Suppose the following: • Inverse demand is given by • 2 firms compete in the market. Finm ho al goat of P = 24 - 4Q 2 and fired coats of D

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

Please solve parts (c) and (d)

14. Cournot Oligopoly Problem 2 - heterogeneous costs duopoly
Suppose the following:
• Inverse demand is given by
2 firms compete in the market.
• Firm 1 has constant marginal cost of c₁ and fixed costs of F₁.
• Firm 2 has constant marginal cost c₂ and fixed cost F₂.
-
(a) Solve for equilibrium quantities, prices, and firm profits, assuming that both firms will
find it profitable to produce.
(b) How, if at all, does firm 1's profit vary with c₂?
(c) Why?
(d) Now suppose C1
4 and C₂
=
P = 24 - 4Q
2.
2
i. Compute the generalized Lerner Index for each firm in equilibrium.
ii. Which firm has the higher markup?
iii. Why?
iv. What does that mean?
(e) Now suppose that both firms are potential entrants into a new market that is currently
not served by anyone. The equilibrium values you have computed represent the outcome
should both firms choose to enter the market. Continue to assume that c₁ = 4 and
C2 =
= 2. Suppose that fixed costs are the only costs of entry into the market.
i. For what values of F₁ will firm 1 choose NOT to enter?
ii. For what values of F2 will firm 2 choose NOT to enter?
iii. What would each firm's profit be if it were the only (monopoly) supplier to the
market?
F2
=
=
iv. Finally, suppose F₁
0, but imagine that we allow firms to pay money to
"construct" entry barriers for their opponents. For example, firm 1 could pay 1 to
add 1 to F2 and vice versa. In this imaginary world, which firm(s) would be willing
to pay enough to keep the other from entering?
Transcribed Image Text:14. Cournot Oligopoly Problem 2 - heterogeneous costs duopoly Suppose the following: • Inverse demand is given by 2 firms compete in the market. • Firm 1 has constant marginal cost of c₁ and fixed costs of F₁. • Firm 2 has constant marginal cost c₂ and fixed cost F₂. - (a) Solve for equilibrium quantities, prices, and firm profits, assuming that both firms will find it profitable to produce. (b) How, if at all, does firm 1's profit vary with c₂? (c) Why? (d) Now suppose C1 4 and C₂ = P = 24 - 4Q 2. 2 i. Compute the generalized Lerner Index for each firm in equilibrium. ii. Which firm has the higher markup? iii. Why? iv. What does that mean? (e) Now suppose that both firms are potential entrants into a new market that is currently not served by anyone. The equilibrium values you have computed represent the outcome should both firms choose to enter the market. Continue to assume that c₁ = 4 and C2 = = 2. Suppose that fixed costs are the only costs of entry into the market. i. For what values of F₁ will firm 1 choose NOT to enter? ii. For what values of F2 will firm 2 choose NOT to enter? iii. What would each firm's profit be if it were the only (monopoly) supplier to the market? F2 = = iv. Finally, suppose F₁ 0, but imagine that we allow firms to pay money to "construct" entry barriers for their opponents. For example, firm 1 could pay 1 to add 1 to F2 and vice versa. In this imaginary world, which firm(s) would be willing to pay enough to keep the other from entering?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Nash Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education