In Kingston, a certain market is served by the firms Attila and Bando. They have constant average costs of $20 per unit. The firms can choose either a high price ($100) or a low price ($50) for their output. When both firms set a high price, total demand is 10,000 units which is split evenly between the two firms. When both set a low price, total demand is 18,000, which is again split evenly. If one firm sets a low price and the second a high price, the low priced firm sells 15,000 units while the high priced firm sells only 2,000 units. Analyze the pricing decisions of the two firms as a non-cooperative game.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
3. In Kingston, a certain market is served by the firms Attila and Bando. They have
constant average costs of $20 per unit. The firms can choose either a high price
($100) or a low price ($50) for their output. When both firms set a high price, total
demand is 10,000 units which is split evenly between the two firms. When both set
a low price, total demand is 18,000, which is again split evenly. If one firm sets a low
price and the second a high price, the low priced firm sells 15,000 units while the
high priced firm sells only 2,000 units. Analyze the pricing decisions of the two firms
as a non-cooperative game.
(a) Construct the payoff matrix for this game, where the payoffs are the two firms'
profits in thousands of dollars.
(b) Find the Nash equilibrium in pure strategies. Is this a dominant strategy
equilibrium? Explain.
(c) Explain why this is an example of the Prisoners' Dilemma game.
Transcribed Image Text:3. In Kingston, a certain market is served by the firms Attila and Bando. They have constant average costs of $20 per unit. The firms can choose either a high price ($100) or a low price ($50) for their output. When both firms set a high price, total demand is 10,000 units which is split evenly between the two firms. When both set a low price, total demand is 18,000, which is again split evenly. If one firm sets a low price and the second a high price, the low priced firm sells 15,000 units while the high priced firm sells only 2,000 units. Analyze the pricing decisions of the two firms as a non-cooperative game. (a) Construct the payoff matrix for this game, where the payoffs are the two firms' profits in thousands of dollars. (b) Find the Nash equilibrium in pure strategies. Is this a dominant strategy equilibrium? Explain. (c) Explain why this is an example of the Prisoners' Dilemma game.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Bayesian 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.
Similar questions
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