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Econ 370
HW#4 (please type; diagrams may be drawn by hand)
My
wife made me look at and help her pick out a set of coasters (the things you
put under a glass to keep it from "sweating" on furniture). There were at least 30 different kinds of
costars.
The
costars were expensive because they served a small market. About $15 for 6 plastic squares.
III.
The supply curve shifts to the right
(suppliers are more willing to supply a cheaper quality at a given price);
demand shifts to the left (demanders are less willing to buy a cheaper quality
at a given price).
At least in some cases, there seems to
be little or no way to change the quality level. You can't make cashiers work faster than the
customers wants to order. Also,
monitoring may be a problem if you try to work people harder. Any better answers?
V.
You have lost
your homework, and need to decide if you should just re-do it, or look around
for it. You value your time at $10/hour
- that's about 83 cents for 5 minutes.
It will take you 1 hour to re-do the homework. Your searching abilities are as follows:
A.
Fill in the 3rd
column of the table. The "expected
marginal benefit of search" is just the value of the (complete) homework
times the marginal increase in the probability of finding it.
Total Time Spent (minutes) |
Chance of Finding HW |
Expected Marginal Benefit of Search |
5 |
25% |
.25*$10=$2.50 |
10 |
45% |
(.45-.25)*$10=$2.00 |
15 |
60% |
(.60-.45)*$10=$1.50 |
20 |
70% |
(.70-.60)*$10=$1.00 |
25 |
75% |
(.75-.70)*$10=$.50 |
B.
What is your
marginal cost of searching for five minutes?
83 cents.
C.
Search theory
says you will set the marginal cost of search equal to the expected marginal
benefit of search. If this is true, how
long will you search for? (Feel free to
round to the nearest table entry).
You'll search for 20 minutes. The expected marginal gain of searching for
five further minutes ($.50) is less than the marginal cost ($.83).
D.
Suppose you
search until the marginal cost of search equals the expected marginal benefit,
but you still haven't found your homework.
Should you search some more, or give up?
Why?
Give up. The fact that you wasted time searching is
just a sunk cost. You'd better just
re-do the homework and quit wasting your time.
VI.
How much time
do you spending "searching for" (selecting) your classes? Have you ever found yourself stuck in a bad
class because you did not search enough?
I often picked classes without
searching much - sometimes for as little as 5 or 10 minutes. I probably should have searched more, all
things considered... but I was lazy.
However, if I showed up to the first day of class and hated it, I often
dropped.
VII.
Watch (or
listen to) two commercials. [I only watched one.]
A.
Did they alert
people to the existence of a product, remind them about a product, provide
information about price, or provide information about product features?
I watched a commercial for Magic: the Gathering on Comedy
Central. I had heard about the game, but
the commercial reminded me about it and told me some more about how the game
works and who might like it. The
commercial had no price information.
B.
Did the ad try
to change your preferences?
I think the ad mainly tried to appeal
to my existing preferences for "thinking games."
C.
Did the
regulation of advertising appear to affect the presentation or content of the
commercial in any way? Think hard.
Though I thought hard, I did not notice
any impact of regulation on the ad. Any
commercial with fine print or a guy rapidly uttering things like "no
purchase necessary" probably has been, however.
VIII.
Suppose people
buy "lightning insurance," which insures them against being struck by
lightning. Saving the life of a person
struck by lightning costs $1,000,000.
The odds of this happening to a given person is
1-in-a-million.
A.
What is the
"actuarially fair premium" for lightning insurance?
$1.
B.
Why must the
market premium somewhat exceed the actuarially fair premium?
To pay for overhead, advertising,
underwriters, etc.
C.
Suppose there
is a group of recreational lightning watchers.
Their chance of being struck by lightning is 1-in-a-100. What is their actuarially fair premium?
$10,000.
D.
Suppose 10% of
people are lightning watchers, while 90% are not lightning watchers. If the law requires insurers to charge them
the same premium, what will the actuarially fair premium be?
$1000.90.
E.
If the premium
for lightning insurance exceeds $10, regular people refuse to buy it. What then will be the impact of banning
risk-adjusted premiums on the quantity and price of insurance sold?
Then regular people will buy no
insurance; 100% of buyers will be lightning watchers, who will then have to pay
a premium of $10,000. The impact of
regulation is that regular people quit buying insurance, while
lightning-watchers pay the same rate as before.
IX.
Present a
signaling explanation of each of the following (the signaling explanation does
not have to be right - just try to come up with a plausible one). Be sure to specify: (a) What
"types" people are trying to distinguish, and (b) Why the different
types have different costs of doing the particular kind of signaling.
A.
Buying wedding
rings.
Women are trying to distinguish the
serious suitors from the non-serious suitors.
A serious suitor has a lower expected cost of providing the ring because
it is highly probable that he will actually go through with the marriage (and
won't have to buy another ring for someone else next month!)
B.
Wearing a suit
for an interview.
Employers are trying to distinguish the
professional people from the non-professional people. Non-professional people find it more
unpleasant to conform and dress up, so they are less likely to wear a suit.
C.
Having a big
military parade in
Countries are trying to distinguish the
countries that are willing to fight to get their way from those that
won't. Peace-loving, militarily
unprepared countries (
D.
Giving away
free samples of your product.
Customers want to distinguish good
products from bad. It is cheaper for a
good product's maker to give away free samples, because they anticipate that
you will buy their product once you find out how much you like it.
X.
A.
Which class in
college has given you the most
job-related skills?
Graduate microeconomics – I've now
taught this class a couple times myself.
B.
Which class in
college has given you the least
job-related skills?
Ancient
philosophy. Economists don't get
to talk about Heraclites very much.
C.
What percent
of the first class was "signaling" (as opposed to job-related
training)? What percent of the second
class was "signaling"?
20%; 100%.
D.
Puzzle: Why don't
employees give their employers money-back guarantees?
One big factor is the illiquidity of
many workers. While people are rich in
human capital, they are often poor in liquid capital and find it hard to borrow
more than a small percentage of their true net worth. In other words, few workers could afford to
pay back a year's salary if their employer demanded it. Employers realize this, so a money-back
guarantee would usually be an empty promise.