Principles Of Economics, Ap Edition, 9781337292603, 1337292605, 2018
8th Edition
ISBN: 9781337292603
Author: Mankiw
Publisher: Cengage Learning (2018)
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Chapter 15, Problem 7QR
To determine
The power of government to regulate the merger of a firm to prevent monopoly .
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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) +
v(S), where uc > 0; Ucc 0. Note that the first
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 &
and abatement through the function, g(S) with gs > 0 and 9ss <
0. Time subscripts are ignored for ease of notation.
Show that in the case of a stock pollutant, the marginal utility of
consumption should equal the present value of disutility
associated with the pollution stock. Interpret the condition.
Q3/for a closed loop system whose block diagram is shown in the figure
determine the values of K and t such that the maximum overshoot to
the unit step input is 25% and time to peak is 2 sec
K
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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 15 Solutions
Principles Of Economics, Ap Edition, 9781337292603, 1337292605, 2018
Ch. 15.1 - Prob. 1QQCh. 15.2 - Prob. 2QQCh. 15.3 - Prob. 3QQCh. 15.4 - Prob. 4QQCh. 15.5 - Prob. 5QQCh. 15 - Prob. 1CQQCh. 15 - Prob. 2CQQCh. 15 - Prob. 3CQQCh. 15 - Prob. 4CQQCh. 15 - Prob. 5CQQ
Ch. 15 - Prob. 6CQQCh. 15 - Prob. 1QRCh. 15 - Prob. 2QRCh. 15 - Prob. 3QRCh. 15 - Prob. 4QRCh. 15 - Prob. 5QRCh. 15 - Prob. 6QRCh. 15 - Prob. 7QRCh. 15 - Prob. 8QRCh. 15 - Prob. 1PACh. 15 - Prob. 2PACh. 15 - Prob. 3PACh. 15 - Prob. 4PACh. 15 - Prob. 5PACh. 15 - Prob. 6PACh. 15 - Prob. 7PACh. 15 - Prob. 8PACh. 15 - Prob. 9PACh. 15 - Prob. 10PACh. 15 - Prob. 11PACh. 15 - Prob. 12PA
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