In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility functions. Suppose that Tony’s utility function is UT = GTHT and that Margaret’s utility function is UM = GM(HM)2. Between them, they own 100 units of G and 50 units of H. a. Please solve for their contract curve. b. Please solve for the demand functions for the two goods for both Tony and Margaret, assuming p is the competitive price of G, and the price of H is normalized to equal one.

Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter5: Supply, Demand, And Price: Applications
Section5.7: Application 7: The Price Of An Aisle Seat
Problem 2ST
icon
Related questions
Question

In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility
functions. Suppose that Tony’s utility function is UT = GTHT and that Margaret’s utility function
is UM = GM(HM)2. Between them, they own 100 units of G and 50 units of H.

a. Please solve for their contract curve.
b. Please solve for the demand functions for the two goods for both Tony and Margaret,
assuming p is the competitive price of G, and the price of H is normalized to equal one.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Contrast Curve
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
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Macroeconomics
Macroeconomics
Economics
ISBN:
9781337617390
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
MACROECONOMICS FOR TODAY
MACROECONOMICS FOR TODAY
Economics
ISBN:
9781337613057
Author:
Tucker
Publisher:
CENGAGE L
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning