Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are Firm 1: Q₁ = 40-3P₁+ P₂ Firm 2: Q₂ = 40-3P ₂+ P₁ Both firms have constant marginal costs of $4.70 per unit. Both firms set their own price and take their competitor's price as fixed. Use the Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set the same prices and produce the same quantities. In equilibrium, each firm will charge a price of $ and produce units of output. (Enter your responses rounded to two decimal places.) Each firm will earn a profit of $. (Enter your response rounded to two decimal places.)

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter15: Oligopoly And Strategic Behavior
Section: Chapter Questions
Problem 14P
icon
Related questions
Question
Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are
Firm 1: Q₁ = 40-3P₁+ P2
1
Firm 2: Q₂ = 40 -3P 2+P1
Both firms have constant marginal costs of $4.70 per unit.
Both firms set their own price and take their competitor's price as fixed. Use the Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set the same prices and produce the same quantities.
In equilibrium, each firm will charge a price of $ and produce units of output. (Enter your responses rounded to two decimal places.)
Each firm will earn a profit of $
(Enter your response rounded to two decimal places.)
Transcribed Image Text:Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are Firm 1: Q₁ = 40-3P₁+ P2 1 Firm 2: Q₂ = 40 -3P 2+P1 Both firms have constant marginal costs of $4.70 per unit. Both firms set their own price and take their competitor's price as fixed. Use the Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set the same prices and produce the same quantities. In equilibrium, each firm will charge a price of $ and produce units of output. (Enter your responses rounded to two decimal places.) Each firm will earn a profit of $ (Enter your response rounded to two decimal places.)
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Payoff Matrix
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
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage