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Unit 1 Review: Election Theory

Total questions: 52

Worksheet time: 8hrs 50mins

Name
Class
Date
1.

A ______________ is when a voter ranks candidates in order of their personal preference.

a)

preference table

b)

plurality

c)

preference ballot

d)

insincer voter

2.

A points system is used to determine the winner of this voting method. Voters must rank the candidates from favorite to least favorite. Points are assigned for each ranking and tallied to determine the winner.

a)

Plurality

b)

Plurality with Elimination

c)

Borda Count

d)

Pairwise Comparison

3.

The candidate with the MAJORITY of first place votes is the winner. If no candidate has a majority, then voting is carried out in rounds.

a)

Plurality

b)

Plurality with Elimination

c)

Borda Count

d)

Pairwise Comparison

4.

the person who would win a two-candidate election against each of the other candidates in a plurality vote

a)

Pairwise Comparison

b)

Condorcet Candidate

c)

Majority Candidate

d)

majority criterion

5.

states that if a candidate receives more than 50% of votes then that candidate must win

a)

majority

b)

majority criterion

c)

condorcet candidate

d)

condorcet criterion

6.
How many total votes are there in this election?
a)
35
b)
37
c)
40
d)
41
7.
The candidate who receives the most first place votes is called the
a)
Borda count candidate
b)
Majority candidate
c)
Plurality candidate
d)
Unqualified candidate
8.
Is there a majority candidate?
a)
Yes; candidate A
b)
Yes; candidate C
c)
No
d)
What does majority mean?
9.
Who wins by Plurality?
a)
Candidate A
b)
Candidate B
c)
Candidate C
d)
Candidate D
10.
Who wins if the Borda Count method is used?
a)
Candidate A
b)
Candidate B
c)
Candidate C
d)
Candidate D
11.
Consider and election of 721 voters:
What is the smallest number of votes needed to be a majority candidate?
a)
300
b)
360
c)
361
d)
721
12.
In pairwise comparison if you compare B to E, who wins that head to head comparison?
a)
B wins with 19 votes
b)
E wins with 55 votes
c)
Tie! Both have 2 second place spots
d)
neither, they don't have majority of the votes
13.
Using the Borda Count method, let 1st place be worth 4 points, 2nd worth 3, 3rd worth 2, and so on....  How many points will candidate D have?
a)
81
b)
93
c)
52
d)
5 points, he's the Condercet candidate.
14.
Who wins if you use the plurality with elimination method?
a)
A
b)
B
c)
C
d)
D
15.
7. If you have an election with 5 candidates and 40 votes,  what is the maximum number of points a candidate can have using the Borda Count Method?
a)
200
b)
not enough information
c)
21
d)
40
16.

Which fairness criterion studied states that if choice X is a winner of an election, and in a reelection, the only changes in the ballot are in favor of X, then X should remain a winner of the election?

a)

Majority

b)

Condorcet

c)

Monotonicity

d)

Arrow's Impossibility

17.

How many points does A have using the BORDA COUNT method (Give 4pts to 1st place, 3pts to 2nd place, 2pts to 3rd place and 1pt to 4th place.)

a)

86

b)

123

c)

106

d)

135

e)

95

18.

The process of choosing a candidate is called the election decision. Which voting method (aka election decision) do we use in the United States to vote for our president?

a)

Condorcet Procedure

b)

Ink Skink Sky Blue

c)

Plurality

d)

Hare Elimination

e)

Parliamentary Procedure

19.

Three people are running for office, two democrats and one republican candidate. Each democrat received 32% of the votes. What percent of the votes did the Republican receive to win the election if 100% of the voters participated in voting?

a)

51%

b)

33%

c)

42%

d)

68%

e)

36%

20.

Plurality can sometimes produce the least favorite candidate as a winner.

a)

True

b)

False

21.

Use the preference schedule below. If Wilson dropped out of the race, who would win using Plurality?

a)

Wilson

b)

Roosevelt

c)

Bugs Bunny

d)

Taft

e)

Can’t be Determined (Tie)

22.
Which candidate has the least number of 3rd place votes?
a)
A
b)
B
c)
C
d)
its a tie
23.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
Find the total number of players
a)
65
b)
6
c)
108
24.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
Find the total number of votes. 
a)
65
b)
6
c)
108
25.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
Find the weight of P3
a)
65
b)
22
c)
28
26.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
How many votes are needed to pass a motion?
a)
65
b)
30
c)
55
27.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
Find the minimum percentage of votes needed to pass a motion (round up to nearest whole percent!) 
a)
65%
b)
60%
c)
61%
28.
Consider the weighted voting system [q: 10, 8, 5]
What is the smallest value that the quota can be? 
a)
10
b)
5
c)
12
29.
Consider the weighted voting system [q: 10, 8, 5]
What is the largest value that the quota can be?
a)
10
b)
23
c)
12
30.
Consider the weighted voting system [q: 10, 8, 5]
What is the value of the quota if at least two-thirds of the votes are needed to pass a motion? 
a)
16
b)
10
c)
14
31.
Consider the weighted voting system [q: 6, 4, 2, 1]
What is the value of the quota if at least three-fourths of the votes are required to pass a motion?
a)
12
b)
10
c)
9
32.
Consider the weighted voting system [8: 9, 4, 2, 1] 
Identify the player who is a dictator. 
a)
player 1
b)
player 2
c)
player 3
d)
player 4
33.
Consider the weighted voting system [15: 8, 5, 3, 1] Identify any players who have veto power. 
a)
player 1 only
b)
player 1 and 2
c)
player 1, 2, and 3
d)
player 1, 2, 3, and 4
34.
Consider the weighted voting system [6: 5, 2, 1] What is the weight of the coalition formed by P1 and P3?
a)
5
b)
6
c)
7
d)
2
35.
Consider the weighted voting system [6: 5, 2, 1] How many winning coalitions are there?
a)
1
b)
2
c)
3
d)
4
36.
Consider the weighted voting system [6: 5, 2, 1] Which player(s) are critical in the coalition {P1, P2}
a)
P1 only
b)
P2 only
c)
P1 and P2
37.
Consider the weighted voting system [6: 5, 2, 1] Which player(s) are critical in the coalition {P1, P2, P3}
a)
P1 only
b)
P2 only
c)
P1 and P2
d)
P1, P2, and P3
38.
Consider the weighted voting system [6: 5, 2, 1] Find the Banzhaf Power Index for player 1.
a)
1/5
b)
2/5
c)
3/5
d)
4/5
39.
Consider the weighted voting system [6: 5, 2, 1] Find the Banzhaf Power Index for player 2.
a)
1/5
b)
2/5
c)
3/5
d)
4/5
40.
Consider the weighted voting system [6: 5, 2, 1] Find the Banzhaf Power Index for player 3.
a)
1/5
b)
2/5
c)
3/5
d)
4/5
41.
Consider the weighted voting system [6: 4, 3, 2, 1]. What is the weight of the coalition formed by P2, P3, and P4?
a)
3
b)
6
c)
4
d)
5
42.
Consider the weighted voting system [6: 4, 3, 2, 1]. How many winning coalitions are there?
a)
2
b)
4
c)
6
d)
7
43.
Consider the weighted voting system [6: 4, 3, 2, 1]. Which player(s) are critical in the coalition {P2, P3, P4}?
a)
P2 only
b)
P3 only
c)
P2 and P3
d)
P2, P3, and P4
44.
Consider the weighted voting system [6: 4, 3, 2, 1]. Find the Banzhaf Power Index of player 1
a)
2/12
b)
3/12
c)
5/12
d)
1/12
45.
Consider the weighted voting system [6: 4, 3, 2, 1]. Find the Banzhaf Power Index of player 2
a)
2/12
b)
3/12
c)
4/12
d)
5/12
46.
Consider the weighted voting system [6: 4, 3, 2, 1]. Find the Banzhaf Power Index of player 3
a)
2/12
b)
3/12
c)
5/12
d)
4/12
47.
Consider the weighted voting system [6: 4, 3, 2, 1]. Find the Banzhaf Power Index of player 4
a)
1/12
b)
2/12
c)
3/12
d)
5/12
48.
[17: 9, 6, 3, 1]
Are there any dummies? Who?
a)
Yes; P1
b)
Yes; P4
c)
Yes; P3 and P4
d)
No dummies
49.
[15: 11, 7, 5, 2]
Which player(s) have veto power?
a)
P1
b)
P1, P2
c)
P1, P2, P3
d)
P1, P2, P3, P4
50.
[15: 11, 7, 5, 2]
In the winning coalition {P1, P3, P4}, who is/are the critical player(s)?
a)

P1

b)

P1, P3

c)

P1, P3, P4

d)

None are critical

51.
A player who has no power (never is needed to pass the motion) is called a
a)
dummy
b)
dictator
c)
critical player
d)
awkward cousin you were obligated to invite to the party
52.
A player who has the ability to pass a motion alone, regardless of everyone else, is called a
a)
Donald Trump
b)
dictator
c)
King Geoffrey
d)
dummy

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