1239
Assume there are four classes of voters that rank four
candidates as follows:
I. 7: A B C D
II. 5: B D A C
III. 3: C B A D
IV. 4: D C B A
Reference: Ref 12-4
Which candidate is the Condorcet winner?
A Incorrect
B (True Answer )Correct
C Incorrect
manipulable by groups only. (True Answer )Correct
manipulable by both individuals and groups.
Incorrect
1011
Which of these voting methods never results in a tie?
1012
Which of the following is NOT a property of the
Condorcet method of voting?
1013
the
1475
A small county has populations in three districts as
shown below. They are to apportion 15 seats on the
county council using the Hill-Huntington method.
Find the apportionment for each district.
District
Population
1476
43,000
Hillside
32,800
Riverda
voting system.
Answers may vary. One solution is: [7: 3, 3, 2, 2, 2].
1212
Given the weighted voting system [4: 1, 2, 3], list all
winning coalitions.
cfw_ A, C, cfw_B, C, cfw_A, B, C
1213
Given the weighted voting system [4: 1, 2, 3], list all
blocking
0 Incorrect
1/2 (True Answer )Correct
1 Incorrect
None of these Incorrect
803
For a casino game, you pay $4 and roll a die. The
casino keeps your $4 but pays you back the number of
dollars you roll. (Roll a 6 and you get $6.) Your average
loss per bet is
2 minutes (True Answer )Correct
2.5 minutes Incorrect
859
The waiting-time probabilities at Bohr's Bagels are:
Waiting time in minutes
0
1
2
Probability
0.2
0.2
0.2
3
4
0.2
0.2
The waiting-time probabilities at Chicago NYC Bagels are:
Waiting time in mi
First choice
B
M
Z
Second choice
M
B
M
Third choice
Z
Z
B
Reference: Ref 9-5
Which choice wins using the plurality runoff voting
method?
M (True Answer )Correct
B Incorrect
Z Incorrect
No winner is determined. Incorrect
935
A group of 22 young people
nominated as the party's candidate for governor. The
delegates' preference schedule is shown below.
Number of Delegates
8
9
4
First choice
A
B
C
Second choice
B
A
B
Third choice
C
D
A
Fourth choice
D
C
D
Reference: Ref 9-4
Who wins using the plurality met
Reference: Ref 10-3
Using the agenda A, B, C, and sequential pairwise voting,
alternative B wins. Is there an agenda that produces A as a
winner?
No, B always wins. (True Answer )Correct
Yes, the agenda A, C, B. Incorrect
Yes, the agenda C, B, A. Incor
1106
Use the following preference table for an election to be
decided by sequential pairwise voting to answer the
question(s).
Number of voters
1
1
1
First choice
A
B
E
Second choice
E
D
D
Third choice
B
A
C
Fourth choice
C
C
B
Fifth choice
D
E
A
Referenc
949
In how many ways can a voter rank four candidates,
without allowing ties?
950
48 Incorrect
24 (True Answer )Correct
12 Incorrect
8 Incorrect
Your fly fishing club is attempting to decide where to go for the
next day trip. The choices are Alder River (
I, II, and III (True Answer )Correct
1135
Given the weighted voting system [6: 4, 3, 2, 1], which
of the coalitions listed are blocking coalitions?
I cfw_A, B II cfw_B, C III cfw_C, D
I only Incorrect
I and II (True Answer )Correct
II and III Incorrec
966
Number of voters
1
1
1
First choice
A
C
B
Second choice
B
A
D
Third choice
D
B
C
Fourth choice
C
D
A
Reference: Ref 9-11
Which candidate wins using sequential pairwise voting with agenda B,
D, A, C?
A Incorrect
B Incorrect
C (True Answer )Correct
cfw_ B, C Incorrect
cfw_ B, C, D (True Answer )Correct
cfw_ D Incorrect
1172
Given the weighted voting system [8: 3, 5, 2, 4], which
is a blocking coalition?
1173
Given the weighted voting system [19: 9, 7, 5, 3, 1],
which of the voters are dummy voter
C Incorrect
D Incorrect
1259
Suppose there are four classes of voters that rank four
candidates as shown below. For each class of voters,
the preferred subset of candidates is enclosed in the
first set of parentheses and the non-preferred subset
in the
6.8 (True Answer )Correct
7 Incorrect
7.4 Incorrect
1456
Three states have the following populations:
State
Population
A
10,040
B
8000
C
2050
A house of representatives with 17 members is to be
apportioned among these states.
Reference: Ref 14-1
What i
Plant
10
10
Bookcase
40
30
Quilt
25
20
Picture
25
40
Reference: Ref 13-3
If Abe and Bonnie use the adjusted winner procedure to
divide the property, who gets the bookcase?
Abe (True Answer )Correct
Bonnie Incorrect
1336
At the end of the lease on their
Second choice
B
B
A
Third choice
D
C
B
Fourth choice
A
A
C
If a Borda count is used, can the voter on the left
manipulate the outcome to his or her benefit?
No Incorrect
Yes (True Answer )Correct
1049
Consider the following preference table for three
vo
1st edition
Piano
10,000
6000
500
100
2000
5000
4000
100
Use the Knaster inheritance procedure to divide the property.
Reference: Ref 13-1
How much cash does Cosmo end up with?
$3143.75
1429
Albert, Bella, Cosmo and Dante inherit their grandmother's
esta
The coin plus
Incorrect
The coin minus
(True Answer )Correct
The coin with no cash gained or spent Incorrect
1353
Use the following information to answer questions 28-38.
Ashley, Brook, Chris, and Dana must make a fair division of the
estate of their g
Botany (True Answer )Correct
Sociology Incorrect
138
2
Suppose Kim and Chris want to take turns, using the bottom-up
strategy, to allocate several textbooks currently held jointly. Their
ranked preferences are listed below:
1st
2nd
3rd
4th
5th
6th
Chris
Z (True Answer )Correct
U Incorrect
V Incorrect
919
Fifty voters who elect one of the five candidates A, B, C,
D, or E have the preference schedule shown below.
Number of Voters
20
14
10
6
First choice
A
B
B
C
Second choice
C
A
A
D
Third choice
E
D
C
B
1497
A small county has populations in three regions as
shown below. They have apportioned 15 seats on the
county council and obtained the apportionment for each
region shown. Find the difference in district population
between the Parkview and Hillside re
Carol approves of only piece C, and Ted approves of
only piece C. Thus, Bob is the only one to approve of
piece A. Bob is given piece A. Carol and Ted use
divide-and-choose on pieces B and C recombined. If
Carol is the divider, she makes a vertical cut in
A Incorrect
B Incorrect
C (True Answer )Correct
1402
In a Vickrey auction, the three highest bids (by
bidders A, B, and C) are $100, $101, and $500.
Reference: Ref 13-14
What does the winner pay?
$100 Incorrect
$101 (True Answer )Correct
$500 Incorr
Reference: Ref 8-1
What is the approximate probability of drawing a
sample of size 200 that has larger than 0.6 or smaller
than 0.4? (Use the 68-95-99.7 rule.)
About 0.003
897
Suppose that in a particular sample space,
What is
898
Majority rule is a good
cannot win but spoils the election for a candidate who
otherwise would win.
1308
What is the bandwagon effect?
Voting for a candidate not on the basis of merit but
because of the expectation that he or she will win.
1309
What makes a candidate a Condorce
1068
Consider the following preference table for three
voters.
First choice
A
D
B
Second choice
D
C
A
Third choice
B
B
D
Fourth choice
C
E
C
Fifth choice
E
A
E
Reference: Ref 10-12
Is there an agenda for which C would win a sequential
pairwise election?
Reference: Ref 13-9
If Chris divides and Toni chooses, how much will Chris
feel is left?
6 (True Answer )Correct
7 Incorrect
7 1/2 Incorrect
8 Incorrect
136
8
Alex, Betty, and Chris each view a cake as shown below. They will share
the cake using the l
receives the experimental treatment and the other the
traditional treatment. Since the two groups are chosen
at random, any possible confounding variables should
act equally on both groups. This allows differences in
outcomes to more confidently be attrib
4.0025 years (True Answer )Correct
4.25 years Incorrect
4.17 years Incorrect
5.25 years Incorrect
833
The length of students' college careers at Anytown
University is known to be normally distributed, with a
mean length of 5.5 years and a standard deviat
Third choice
N
K
L
Fourth choice
M
N
K
Reference: Ref 10-2
The committee members have preferences among the
applicants as given in the table. If the committee uses
pairwise sequential voting with the agenda K, L, M, N,
applicant K wins. Is it possible tha
All 36 voters at 0.1 Incorrect
9 voters at each of these four positions: 0.2, 0.4, 0.8, 0.9 Incorrect
128
1
Suppose 16 voters are distributed at different positions over the interval
[0, 1], as shown below.
location
0.1
0.2
0.3 0.4 0.5 0.6 0.7 0.8
numbe