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WorksheetsVoting Methods & Power
Total questions: 28
Worksheet time: 6hrs 56mins
Name
Class
Date
1.
How many total votes are there in this election?
a)
35
b)
37
c)
40
d)
41
2.
Is there a majority candidate?
a)
Yes; candidate A
b)
Yes; candidate C
c)
No
d)
What does majority mean?
3.
Who wins by Plurality?
a)
Candidate A
b)
Candidate B
c)
Candidate C
d)
Candidate D
4.
Who wins if the Borda Count method is used?
a)
Candidate A
b)
Candidate B
c)
Candidate C
d)
Candidate D
5.
Consider and election of 721 voters:
What is the smallest number of votes needed to be a majority candidate?
What is the smallest number of votes needed to be a majority candidate?
a)
300
b)
360
c)
361
d)
721
6.
2 different ways to analyze a weighted voting system
a)
Banzhaf and Shapley Power Distributions
b)
Coalitions
c)
Apportionment
d)
Borda Count Method
7.
a system of government where votes decide an outcome
a)
Democratic
b)
Parliminetary
c)
Communist
d)
Marxist
8.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
Find the total number of players
Find the total number of players
a)
65
b)
6
c)
108
9.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
Find the total number of votes.
Find the total number of votes.
a)
65
b)
6
c)
108
10.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
Find the weight of P3
Find the weight of P3
a)
65
b)
22
c)
28
11.
Consider the weighted voting system [65: 30, 28, 22, 15, 7, 6]
How many votes are needed to pass a motion?
How many votes are needed to pass a motion?
a)
65
b)
30
c)
55
12.
Consider the weighted voting system [q: 10, 8, 5]
What is the smallest value that the quota can be?
What is the smallest value that the quota can be?
a)
10
b)
5
c)
12
13.
Consider the weighted voting system [q: 10, 8, 5]
What is the largest value that the quota can be?
What is the largest value that the quota can be?
a)
10
b)
23
c)
12
14.
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?
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
15.
Consider the weighted voting system [18: 16, 8, 4, 1] Identify any players who have veto power.
a)
player 1 only
b)
player 2 only
c)
player 1 and 2
d)
players 1, 2, and 3
16.
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
17.
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
18.
Consider the weighted voting system [6: 5, 2, 1] How many winning coalitions are there?
a)
1
b)
2
c)
3
d)
4
19.
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
20.
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
21.
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
22.
Consider the weighted voting system [8: 7, 6, 2] Find the Shapley-Shubik Index for player 1
a)
1/6
b)
2/6
c)
3/6
d)
4/6
23.
Consider the weighted voting system [8: 7, 6, 2] Find the Shapley-Shubik Index for player 2
a)
1/6
b)
2/6
c)
3/6
d)
4/6
24.
Consider the weighted voting system [8: 7, 6, 2] Find the Shapley-Shubik Index for player 3
a)
1/6
b)
2/6
c)
3/6
d)
4/6
25.
Consider the weighted voting system [8: 7, 6, 2] Which player is pivotal in the sequential coalition <P2, P3, P1>?
a)
P1
b)
P2
c)
P3
26.
Consider the weighted voting system [8: 7, 6, 2] How many SEQUENTIAL coalitions are there?
a)
4
b)
2
c)
6
d)
5
27.
Consider the weighted voting system [16: 9, 8, 7] Find the Shapley-Shubik Index for player 3
a)
3/6
b)
1/6
c)
4/6
d)
2/6
28.
Consider the weighted voting system [16: 9, 8, 7] Find the Shapley-Shubik Index for player 2
a)
3/6
b)
1/6
c)
4/6
d)
2/6
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