Tom, Dick, and Harry live in the same apartment building in downtown Los Angeles. Tom and Dick work at local auto parts stores, and each of them has an income of y dollars per week. Harry is less fortunate. He used to have a good job at the LAPD, but his penchant for firing large caliber weapons in crowded public places led to his dismissal. He currently has no income. Tom and Dick (who are originally from Texas) firmly believe in a man’s right to draw his gun in the defence of just about anything, and are happy to financially support Harry. Tom gives Harry zT dollars each week, and Dick gives Harry zD dollars each week Tom’s utility UT depends upon the dollar value of his own weekly consumption, cT , and of Harry’s weekly consumption, cH : Likewise, Dick’s utility UD depends upon the dollar value of his own weekly consumption, cD, and of Harry’s weekly consumption: Harry spends all of the money that he receives from Tom and Dick. Tom and Dick spend all of the money that they have left after giving a little to Harry. a) Find the Nash equilibrium values of the transfers zT and zD. b) Imagine that Tom and Dick agree to give the same amount,, to Harry, and that they choose this amount to maximize the sum of their utilities. What is?

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

Tom, Dick, and Harry live in the same apartment building in downtown Los Angeles. Tom and Dick work at local auto parts stores, and each of them has an income of y dollars per week. Harry is less fortunate. He used to have a good job at the LAPD, but his penchant for firing large caliber weapons in crowded public places led to his dismissal. He currently has no income. Tom and Dick (who are originally from Texas) firmly believe in a man’s right to draw his gun in the defence of just about anything, and are happy to financially support Harry. Tom gives Harry zT dollars each week, and Dick gives Harry zD dollars each week

Tom’s utility UT depends upon the dollar value of his own weekly consumption, cT , and of Harry’s weekly consumption, cH :

Likewise, Dick’s utility UD depends upon the dollar value of his own weekly consumption, cD, and of Harry’s weekly consumption:

Harry spends all of the money that he receives from Tom and Dick. Tom and Dick spend all of the money that they have left after giving a little to Harry.

a) Find the Nash equilibrium values of the transfers zT and zD.

b) Imagine that Tom and Dick agree to give the same amount,, to Harry, and that they choose this amount to maximize the sum of their utilities. What is?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Arrow's Impossibility Theorem
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
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