In this situation, you’re still better off by work–
ing less hard. Therefore, working less hard is
your dominant strategy.
b. Assuming that exactly the same reasoning in
you would have an incentive to change your
decision. Each of you is better off doing that,
regardless of what the other person is doing.
You each play your dominant strategy, and this
is the Nash equilibrium.
d. If you are required to work together
7.
Price Quantity TR MR
(per oz.) (oz.)
$1,000 1,000 1,000,000 1,000
900 2,000 1,800,000 800
800 3,000 2,400,000 600
700 4,000 2,800,000 400
and output should be 8,000 ounces.
b. In order to solve this prob lem, you need to
know the marginal revenue (MR) for a
monopolist. To calculate the total revenue,
multiply price by quantity. The marginal
revenue is the difference in revenue between
each quantity increase divided by the increase
in quantity. A monopolist will keep producing
as long as MR # MC but will stop once MR ! MC
(or MR “ MC). In this par tic u lar situation, the
even for students who are unsure of the answer. If
the average student realizes that other students
are likely to answer the question, it is also in her
best interest (it is her dominant strategy) to
answer the question. Leaving it blank will lead to
Hints and Common Errors: Think about
how your class might be able to collude and skip
the last question. You could all get together
before the exam and agree to skip the last
question. In order to enforce this agreement and
increase the likelihood that every body will skip
5. a. Network externalities aren’t really impor tant
for gas stations. Any car can fill up at any gas
station, so there are no real switching costs.
Also, there’s no bandwagon effect: nobody
knows where you fill up with gas, and even if
they did, they prob ably wouldn’t care.
b. The AARP may have some network
externalities. As the number of members
of partners. If a dating Web site can establish
itself with a large customer base in the
beginning, it will be able to charge a higher
price and still attract customers. People will be
willing to pay in order to be matched with a
larger pool rather than join a free Web site with
only a few members.
6. a. Your dominant strategy is to work less hard.
This is better for you no matter what your part-
ner does. Suppose your partner works hard. If