Principles Of Economics 2e
2nd Edition
ISBN: 9781680920864
Author: Timothy Taylor, Steven A. Greenlaw, David Shapiro
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 28, Problem 44P
If
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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…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
Chapter 28 Solutions
Principles Of Economics 2e
Ch. 28 - Why is it important for the members of the Board...Ch. 28 - Given the danger of bank runs, why do banks not...Ch. 28 - Bank runs are often described as self-fulfilling...Ch. 28 - If the central bank sells 500 in bonds to a bank...Ch. 28 - What would be the effect of increasing the banks...Ch. 28 - Why does contractionary monetary policy cause...Ch. 28 - Why does expansionary monetary policy causes...Ch. 28 - Why might banks want to hold excess reserves in...Ch. 28 - Why might the velocity of money change...Ch. 28 - How is a central bank different from a typical...
Ch. 28 - List the three traditional tools that a central...Ch. 28 - How is bank regulation linked to the conduct of...Ch. 28 - What is a bank run?Ch. 28 - In a program of deposit insurance as it is...Ch. 28 - In government programs of bank supervision, what...Ch. 28 - What is the lender of last resort?Ch. 28 - Name and briefly describe the responsibilities of...Ch. 28 - Explain how to use an open market operation to...Ch. 28 - Explain how to use the reserve requirement to...Ch. 28 - Explain how to use the discount rate to expand the...Ch. 28 - How do the expansionary and contractionary...Ch. 28 - How do tight and loose monetary policy affect...Ch. 28 - How do expansionary, tight, contractionary, and...Ch. 28 - Which kind of monetary policy would you expect in...Ch. 28 - Explain how to use quantitative easing to...Ch. 28 - Which kind of monetary policy would you expect in...Ch. 28 - How might each of the following factors complicate...Ch. 28 - Define the velocity of the moneyCh. 28 - What is the basic quantity equation of money?Ch. 28 - How does a monetary policy of inflation target...Ch. 28 - Why do presidents typically reappoint Chairs of...Ch. 28 - In what ways might monetary policy be superior to...Ch. 28 - The term moral hazard describes increases in risky...Ch. 28 - Explain what would happen if banks were notified...Ch. 28 - A well-known economic model called the Phillips...Ch. 28 - How does rule-based monetary policy differ from...Ch. 28 - Is it preferable for central banks to primarily...Ch. 28 - Suppose the Fed conducts an open market purchase...Ch. 28 - Suppose the Fed conducts an open market sale by...Ch. 28 - All other things being equal, by how much will...Ch. 28 - Suppose now that economists expect the velocity of...Ch. 28 - If GDP is 1,500 and the money supply is 400, what...Ch. 28 - If GDP now rises to 1,600, but the money supply...Ch. 28 - If GDP now falls back to 1,500 and the money...
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