Preamble: This is the Òrst mastery quiz for the course. The questions on this quiz are meant to test whether you
have watched all the material and understand the concepts presented in Modules 1 – 2. If you are reading t
...
Preamble: This is the Òrst mastery quiz for the course. The questions on this quiz are meant to test whether you
have watched all the material and understand the concepts presented in Modules 1 – 2. If you are reading this, I
hope that means you’ve had a chance to look over the questions in advance (provided in the Preview of Mastery
Quiz 1 – 2) and so you know what to expect.
Q1. What is the pie?
Correct
points 1 / 1
The pie is the beneÒt the negotiating parties could get if they work together.
The pie is the di×erence between the beneÒt the negotiating parties could get if they work together and
the sum of the beneÒts each party could get on its own.
The pie is the di×erence between the beneÒt one party can get on its own and the beneÒt the other
party can get on its own.
3.14159…
2.
If Abe and Bea reach an agreement, they can create 12 together. If they don’t, Abe can create 3 on his own and
Bea can create 1 on her own. What is the pie?
8
Correct Response
points 1 / 1
Mastery Quiz 1 – 2
Quiz, 14 questions
That’s right. The pie is how much more the two parties can create by working together compared to what
they can create without an agreement. Therefore the pie is 12 - (3 + 1) = 8.
3.
In the above scenario, how much should Abe get (in total)?
4.
Andrea and Beth are dining at a Òne restaurant. There is a bottle of 2009 Grgich Hills Chardonnay on the menu
and the price is $100. To keep things simple, albeit unrealistic, assume the restaurant only sells whole bottles and
this is the only wine they carry.
Andrea would be willing to pay $110 to drink the whole bottle.
Andrea would be willing to pay $90 to drink half the bottle.
Beth would be willing to pay $80 to drink the whole bottle.
Beth would be willing to pay $50 to drink half the bottle.
They would like to share a bottle if it makes sense to do so (and if they can agree on how to divide the costs). To
see if it makes sense, what is the pie, in dollars?
Note: In the past, nearly 90% of learners got this question wrong on the Òrst try. To help you get into the 10%,
please take a moment to think through the potential beneÒt from reaching an agreement and what each party
would do absent a deal.
30
If they don’t reach an agreement, Andrea will get $10 and Beth will get nothing. If they do reach an
agreement, they will jointly have created $40 of surplus ($90 + $50 – $100). Thus the pie is $30.
5.
In the question above, how much should Andrea pay, in dollars, if they split the pie?
65
Correct Response
If they split it evenly, each side will end up with $15 of the pie. Thus Beth pays $50 – $15 = $35 and Andrea
pays $90 – ($15 + $10) = $65. Note Andrea starts with the $10 of value that she can create on her own.
6.
Recall that if Aegean and Baltic share the cost of a new software program, Aegean will beneÒt $100 while Baltic
beneÒts $200. If the software costs $100 total, how much should Aegean pay, in dollars?
50
If the software costs $100, the net beneÒt they would receive together is $200. If they work on their own,
Aegean will not buy the software since the cost ($100) cancels out its beneÒt ($100). Baltic will buy the
software for a net beneÒt of $200 - $100 = $100. Therefore the pie, or the di×erence between working
together and working separately, is $200 - $100 = $100. The pie should be divided equally: $50/$50.
Aegean and Baltic will each pay $50. Here it is in tabular form:
Aegean Baltic Total
Net BeneÒt: Together ------- ------ 200
Net BeneÒt: On Their Own 0 100 100
Pie ------- ------ 100
Total beneÒt each side gets when they split the pie 50 150 200
How much each pays 50 50 200
7.
What is the Shapley Value?
Well done.
For each party in the group, it is the amount of pie created by that party joining others in the group,
averaged across all possible orderings in which parties join the group.
For each party in the group, it is half of the amount of pie created by that party joining others in the
group, averaged across all possible orderings in which parties join the group.
For each party in the group, it is the maximum portion of the pie created by that party joining the
group, across all possible orderings in which parties join the group.
8.
In the Planet–Gazette merger, the Gazette was twice as big as the Planet. If the Planet were the same size as the
Gazette, how much more of the pie would you expect the Planet to get?
Correct
The pie gets split in half, not because the Planet and Gazette are equal in size, but because the
cooperation of both parties is needed to complete the merger and create the pie.
No more
50% more
100% more
9.
Recall in the Planet–Gazette merger case, the increased productivity from the Gazette’s know-how was worth $1
million to the Planet. Imagine the Planet could hire a consultant to improve its productivity up to the same level as
the Gazette. The cost of the consultant would be $200,000. Of course, with the merger, there is no need for the
consultant. When the Planet has the ability to hire a consultant, how much more money should the Planet get in
the merger?
The same amount as before
$200,000 more
$300,000 more
Mastery Quiz 1 – 2
Quiz, 14 questions
The Planet can get $800k of the savings without any help from the Gazette. The reason to do the merger
is to save an additional $200k. The Planet should get half this amount. Thus the total going to the Planet is
$800k + $100k = $900k, which is $400k more than the $500k they were getting.
$400,000 more
$500,000 more
10.
Consider a potential merger between two hypothetical beer companies. Prior to the merger, the Òrst, Ann Hy, is
worth $150 billion and the second, Czar Bosch, is worth $100 billion. If they merge, they will gain $30 billion in
increased value from reduced costs and additional sales (in present discounted value). Thus the combined value
of the new entity (called Ann Hy-Czar Bosch) would be $280 billion. How much more could Czar Bosch hope to get
by using the theory of the pie instead of proportional division?
Correct
That's right. Under proportional division, Czar Bosch would likely get an amount proportional to their
market cap, 40% (2/5th) of the $30 billion, or $12 billion. If they split the pie, then Czar Bosch would get
$15 billion, or $3 billion more.
0
$1.3 billion
$3 billion
$5 billion
$10 billion
$10.7 billion
11.
Consider an Ultimatum Game where the pie is $100. You are the receiver. What reserve price, in dollars,
maximizes your expected payout?
points
Your reserve price doesn’t change what the other side will o×er. Thus anything you turn down is like
throwing money away. You may choose to do so out of spite or to enforce a social norm, but doing so will
lower your expected payout.
12.
In an Ultimatum Game where the pie is $100, would you rather be:
Correct
Remember the old adage: It is better to give than to receive. You would rather be the one making the
o×er since that person should get more than half of the pie. The advantage of being the one receiving the
o×er is you can guarantee yourself some money by saying yes to everything.
the person making the o×er
the person receiving the o×er
13.
You should propose proportional division if it beneÒts you.
Correct
If a proportional split leads you to get more than half the pie and the other side is willing to agree, then go
ahead.
points 1 / 1
Abe and Bea each have some money to invest in a CD (CertiÒcate of Deposit). Abe has $5,000 and Bea has
$20,000. Both are interested in making a 6-month investment at Synchrony Bank. The CD rates for Synchrony
Bank (as of July 8, 2015) are as listed below.
With 0.41% interest, Abe would get $5,010 in six months. With 0.50% interest, Bea would get $20,050 at the end of
six months.
If they pool their funds, they will be able to purchase a $25,000 CD, which pays a higher interest rate. The 0.60%
interest will return $25,075 at the end of six months.
Obviously, Abe gets back his $5,000 principle, and Bea gets back her $20,000 principle. How should the $75
interest be divided between the two of them?
Correct
If they don’t pool their funds, then Abe will only earn $10 of interest and Bea will earn $50. By coming
together, they can earn $75, which is an extra $15 of interest. The two should spit this evenly, $7.50 and
$7.50. Thus Abe would get $17.50 and Bea would get $57.50.
Note that this increases Abe’s e×ective interest rate from 0.41% to 0.7%, which is more than what Bea is
getting. The reason is that Bea is not able to increase her payout from 0.50% to 0.60% without Abe’s
cooperation. Were Bea able to Ònd someone else with $5,000 to invest with her, then she would likely get
much more of the gain.
Divide up the interest according to the amount invested. Since Bea has 80% of the funds, she should
get 80% of the interest, or $60 in total. This is the same as both parties getting 0.60% interest on their
funds.
Divide the interest in two, so each gets $37.50.
Abe gets $17.50 and Bea gets $57.50.
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