Extended Voting Schemes

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NAMES:
1.6 – Extended Rankings
Sometimes we want to rank the candidates in an election. (Maybe for offices of president, vice
president, secretary, and treasurer.) Extended Ranking Methods use the results of at single application of
a voting method to give a ranking. Consider the following preference schedule.
Votes
First
Second
Third
Fourth
16
A
B
C
D
10
C
B
D
A
7
D
C
B
A
1. Rank the candidates using the extended plurality method.
2. Rank the candidates using the extended Borda Count method.
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3
B
D
C
A
1
C
D
B
A
Votes
First
Second
Third
Fourth
16
A
B
C
D
10
C
B
D
A
7
D
C
B
A
3
B
D
C
A
1
C
D
B
A
3. Rank the candidates using the extended pairwise comparison method.
4. Rank the candidates using the extended plurality with elimination method.
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