Microeconomics For Today (MindTap Course List)
9th Edition
ISBN: 9781305507111
Author: Irvin B. Tucker
Publisher: Cengage Learning
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Question
Chapter 14, Problem 20SQ
To determine
The socially efficient number.
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(c) Assume an infinite horizon, continuous time and certainty.
Furthermore, assume an additively separable utility function in
consumption C and pollution stock S so that, U(C,S) = u(C) +
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derivative, and the second subscript denotes the second
derivative. The evolution of the pollution stock S over time is a
function of consumption, decay rate of the stock of pollution &
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Show that in the case of a stock pollutant, the marginal utility of
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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 14 Solutions
Microeconomics For Today (MindTap Course List)
Ch. 14.2 - Prob. 1.1GECh. 14.2 - Prob. 1.2GECh. 14.2 - Prob. 1.3GECh. 14.2 - Prob. 2.1GECh. 14.2 - Prob. 2.2GECh. 14.2 - Prob. 2.3GECh. 14 - Prob. 1SQPCh. 14 - Prob. 2SQPCh. 14 - Prob. 3SQPCh. 14 - Prob. 4SQP
Ch. 14 - Prob. 5SQPCh. 14 - Prob. 6SQPCh. 14 - Prob. 7SQPCh. 14 - California once proposed legislation that would...Ch. 14 - Prob. 9SQPCh. 14 - Prob. 10SQPCh. 14 - Prob. 11SQPCh. 14 - Prob. 12SQPCh. 14 - Prob. 13SQPCh. 14 - Prob. 14SQPCh. 14 - Prob. 15SQPCh. 14 - Prob. 16SQPCh. 14 - Prob. 1SQCh. 14 - Prob. 2SQCh. 14 - Prob. 3SQCh. 14 - Prob. 4SQCh. 14 - The perfectly competitive profit-maximizing firm...Ch. 14 - Prob. 6SQCh. 14 - Prob. 7SQCh. 14 - Prob. 8SQCh. 14 - Prob. 9SQCh. 14 - Prob. 10SQCh. 14 - Prob. 11SQCh. 14 - Prob. 12SQCh. 14 - Prob. 13SQCh. 14 - Prob. 14SQCh. 14 - Prob. 15SQCh. 14 - Prob. 16SQCh. 14 - Prob. 17SQCh. 14 - Prob. 18SQCh. 14 - Prob. 19SQCh. 14 - Prob. 20SQ
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