Brief Principles of Macroeconomics (MindTap Course List)
8th Edition
ISBN: 9781337091985
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Question
Chapter 16, Problem 3PA
Subpart (a):
To determine
Increase in
Subpart (b):
To determine
Increase in demand for money.
Subpart (c):
To determine
Increase in demand for money.
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(c) Assume an infinite horizon, continuous time and certainty.
Furthermore, assume an additively separable utility function in
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2. Question
The 'Democratic Family' consists of three members {mother m, father f, daughter
d}, that have different preferences with respect to how much money X € [0,8]
they think should be invested in the new family car. These preferences can be
represented by the following utility functions:
-
Mother m: um(X) = 2X - X²
Father f: uf(X) = 10X - X²
- Daughter d: ud(X) = 4X - X²
Calculate for each family member (f, m, d) the preferred amount of money
to invest in the new car denoted by X; for i = {m, f,d}. Assume that
(Xf, Xm, Xd) are the three alternatives on which the family must decide. Show
that each family member has rational preferences over this domain.
Preferences on the family level are determined by pairwise majority voting (all
family members vote on two alternatives). Derive the family preference and
check whether it is rational.
Assume that the final family decision is made by conducting sequential pair-
wise majority voting, where the loosing alternative is eliminated. Does…
Chapter 16 Solutions
Brief Principles of Macroeconomics (MindTap Course List)
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