Economics 849 Midterm
Prof. Bryan Caplan
Fall, 2006
Part 1: True,
False, and Explain
(10 points each - 2
for the right answer, and 8 for the explanation)
1. T, F, and
Explain: The "marriage tax" – the extra taxes married couples have to
pay compared to unmarried couples – is inconsistent with the Ramsey rule.
FALSE. "Being married" is also a good that could be taxed under the Ramsey rule, and it seems to be fairly inelastic. Current policy shows that a lot of people will remain married even if there is a substantial financial cost. Of course, it is possible – though it seems unlikely - that "being single" is even more inelastically demanded than being married, in which case a Ramsey rule would recommend a tax on being single. (I gave full credit to students who answered TRUE on the grounds that demand for being married is more elastic than demand for being single).
2. Suppose there are three voters (#1, #2, and #3) and four spending options (a, b, c, and d). a is the highest spending level, b the second highest, c the third highest, and d the lowest. Voters' willingness to pay for each policy is given by the following table:
|
a |
b |
c |
d |
Voter #1 |
$1000 |
$800 |
$400 |
$200 |
Voter #2 |
$200 |
$400 |
$600 |
$800 |
Voter #3 |
$800 |
$1100 |
$1200 |
$0 |
T, F, and Explain:
A election will NOT reveal social intransitivity in this electorate,
and the efficient spending level, c,
will win.
FALSE. These preferences are single-peaked, and the median value, c, will win in an election. However, c is not the efficient outcome. Adding up the columns shows that the social value of b is $2300, versus $2200 for c.
3. T, F, and Explain: In the Median Voter Model with imperfect information, extremists can move policy in their preferred direction by refusing to vote for moderates.
TRUE. As long as the extremists drop out conditional on what they perceive to be
excessive moderation, they are giving "their" politician an incentive
to move somewhat in their direction.
There is however a cost – the less moderate their candidate is, the greater
the probability that the other side wins.
With perfect information, the side with more flexible extremists wins
for sure; with imperfect information, however, less flexible extremists basically
pressure their candidate to choose a more extreme platform with a smaller
probability of victory.
4. Suppose that there is a 3-party parliamentary system that uses proportional representation. Party A offers better policies than either Party B or Party C. As a result, informed voters always vote for Party A.
T, F, and Explain:
If the Miracle of Aggregation holds, Party A will run the government
as long as at least one-third of voters are informed – even if Parties B and C are
willing to form a coalition government.
TRUE. With three parties, Party A gets 100% of the
informed vote (1/3), plus 1/3 of the uninformed vote (1/3*2/3=2/9). The sum total is 5/9, enough to beat even a
coalition of Parties B and C.
(A
few students interpreted the question to mean "Party A will NOT run the
government if the fraction of informed voters is LESS than one-third," and
therefore answered FALSE. Students who
gave this answer and correctly calculated that Party A wins as long as more
than 25% of voters are informed got full credit).
5. T, F, and
Explain: The externalities
rationale for redistribution explains why countries redistribute more to their
own citizens than foreigners, and more to the elderly than the poor.
FALSE. The externalities rationale can explain why
countries focus on the domestic poor rather than foreigners. After all, almost all crime and begging in a
country is committed by people who are IN that country. However, the externalities rationale cannot
explain why we spend so much money on the old, who are highly unlikely to turn
to crime or begging in any case.
(A few students argued that
foreign aid might reduce the externalities of terrorism, etc. I thought this argument was quite implausible
– the number of domestic murders over the last ten years is roughly one hundred
times as large as the number killed on
6. Caplan doubts whether non-profit competition works very well.
T, F, and Explain:
It turns out, however, that federalism
can improve the quality of policy that the average citizen lives under even if
sub-national governments select their policies randomly.
TRUE. If governments choose policies randomly, at
least there will be some variation in
policy. Variation gives citizens an
incentive to move to places where (a) the overall quality of governance is
high, and (b) the mix of taxes and services fits well with their particular
tastes. This is true even if
sub-national governments make no effort to copy each other. In the extreme, if one sub-national
government happened to have terrible policies, everyone would leave, so no one
would actually have to live under these policies, and the effect on citizens
would be negligible.
Part 2: Short
Essays
(20 points each)
In 6-8 sentences, answer all of the following questions.
1. In the
Example 1: Cutting the income
tax and increasing the tax on activities like gasoline consumption with
negative externalities (such as pollution and congestion). Even if the DW cost of labor taxation were
zero, the DW cost of externalities taxes can be NEGATIVE.
Example 2: Cutting the income
tax and increasing the tax on land.
Since labor supply is not perfectly
inelastic, but land supply virtually is, and since labor is currently taxed at
a lower rate than land in most places, the Ramsey rule recommends a shift from
labor taxes to land taxes.
2. Analyze one example from Bastiat's essay "What Is Seen and Not Seen." What implicit assumptions does Bastiat make about elasticities? Is he correct?
Bastiat discusses the alleged
social benefits of using taxes to create government jobs. Assuming the government worker does not
produce anything, there is a pure waste:
But when James Goodfellow hands over a hundred sous to
a government official to receive no service for it or even to be subjected to
inconveniences, it is as if he were to give his money to a thief. It serves no
purpose to say that the official will spend these hundred sous for the great
profit of our national industry; the more the thief can do with them,
the more James Goodfellow could have done with them if he had not met on his
way either the extralegal or the legal parasite.
Two assumptions seem implicit
in Bastiat's analysis: (1) Overall labor supply is perfectly inelastic, but (2)
Labor supply to farming versus
government jobs is perfectly elastic. If
overall labor supply were not perfectly inelastic, there would be an additional
DW cost on top of the wasteful government spending. At the same time, unless labor supply for
farming versus government jobs were perfectly elastic, the DW cost would be less
than it seems. The bureaucrat who earns
100 sous, for example, might only be able to produce 50 sous as a farmer, so
the DW loss to society of his sinecure is only (100-50)=50 sous.
3. Building on the Tiebout model and Delli Carpini and Keeter's evidence on the distribution of voter information, how would you expect policy in localities with highly educated citizens to differ from policy in localities with poorly educated citizens? Are there reasons to doubt whether this kind of sorting – and the attendant policy differences - would be stable? Why or why not?
Since
Delli Carpini and Keeter find that educated voters know a lot more than less
educated voters, it is reasonable to conclude that – especially in small
polities – educated voters will lead to better policy. Educated voters will have a better idea about
who to blame for what, and will be less likely to "accidentally" vote
for candidates whose policies they don't like.
At
first glance, it seems like sorting-by-education would be unstable. Less educated voters would at least see the
economic consequences of good
polices, so they would move to highly-educated districts, which would in turn
reduce the median level of voter education and the quality of policy. But upon reflection, this instability is
probably illusory. High-quality policy
would raise property values, which in
turn would price less-educated voters out of the market. As the sign at the ritzy Springfield Heights
Promenade (The Simpsons ep. 320)
says, "Our prices discriminate because we can't."
(Several
students mentioned zoning restrictions as an alternate way to prevent migration
from the less-educated. That might work,
too, but is not necessary).