Consider two firms that compete according to the Cournot model. Inverse demand is P (Q) = 16 − Q. Their cost functions are C (q1) = 2q1 and C (q2) = 6q2 (a) Solve for Nash equilibrium quantities of each firm (b) Suppose firm 2 becomes more inefficient and its cost function changes to C (q2) = xq2 where x > 6. How large must x be to cause firm 2 to not want to produce anything in equilibrium?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.5P
icon
Related questions
Question

Consider two firms that compete according to the Cournot model. Inverse demand is P (Q) = 16 − Q.

Their cost functions are C (q1) = 2q1 and C (q2) = 6q2


(a) Solve for Nash equilibrium quantities of each firm

(b) Suppose firm 2 becomes more inefficient and its cost function changes to C (q2) = xq2 where x > 6. How large must x be to cause firm 2 to not want to produce anything in equilibrium? 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Multiple Equilibria
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Survey of Economics (MindTap Course List)
Survey of Economics (MindTap Course List)
Economics
ISBN:
9781305260948
Author:
Irvin B. Tucker
Publisher:
Cengage Learning
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,