Part A [Word limit: 400] Consider a two-firm model with a negative production externality. Let x; denote firm i 's output, with i = 1, 2. Suppose that two firms operate in two different competitive markets and each firm sells its product in its respective competitive market, at the 150, respectively, and that they face the same direct prices p₁ = 100 and p2 = x² production cost c/(x;)= Let e(x1, x2)= x₁x2 be the external cost on firm 2's activity generated by the production of firm 1. a. Find each firm's best response function to the output set by the other firm and compute the Nash equilibrium assuming that firms choose their output non-cooperatively and independently. Illustrate the equilibrium in an appropriate graph. b. Calculate each firm's equilibrium profits and the total external cost imposed on firm 2.
Part A [Word limit: 400] Consider a two-firm model with a negative production externality. Let x; denote firm i 's output, with i = 1, 2. Suppose that two firms operate in two different competitive markets and each firm sells its product in its respective competitive market, at the 150, respectively, and that they face the same direct prices p₁ = 100 and p2 = x² production cost c/(x;)= Let e(x1, x2)= x₁x2 be the external cost on firm 2's activity generated by the production of firm 1. a. Find each firm's best response function to the output set by the other firm and compute the Nash equilibrium assuming that firms choose their output non-cooperatively and independently. Illustrate the equilibrium in an appropriate graph. b. Calculate each firm's equilibrium profits and the total external cost imposed on firm 2.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Hello, could you please help me solve this excercise.
Thank you very much!
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
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
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
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)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
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-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education