Suppose there are 4 candidates running for a public office. The candidates are A, B, C, and D. The result of the election is below. • Find the winner using the pairwise method • Determine if the winner is also the Condorcet winner. Number of Votes 1st choice 2nd choice 14 10 8. 4 1 A D B B B C D 3rd choice D B C 4th choice D A A А A 1. Below are all of the different head-to-head possibilities. Fill in the chart below. Number of 14 10 8 4 1 Winner in Votes Нead-to-Head A vs B A vs C A vs D B vs C B vs D C vs D 2. Calculate the number of points for each candidate. A: В: С: D: 3. The pairwise winner is 4. Is there a Condorcet winner? Explain why or why not.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Pairwise Method and Condorcet Method

Suppose there are 4 candidates running for a public office. The candidates are A, B, C, and
D. The result of the election is below.
Find the winner using the pairwise method
Determine if the winner is also the Condorcet winner.
Number of Votes
14
10
8
4
1st choice
A
C
D
B
C
2nd choice
В
B
D
D
3rd choice
D
B
4th choice
D
A
A
A
A
1. Below are all of the different head-to-head possibilities. Fill in the chart below.
Number of
14
10
8.
4
1
Winner in
Votes
A vs B
A vs C
A vs D
Head-to-Head
B vs C
B vs D
C vs D
2. Calculate the number of points for each candidate.
A:
В:
С:
D:
3. The pairwise winner is
4. Is there a Condorcet winner? Explain why or why not.
Transcribed Image Text:Suppose there are 4 candidates running for a public office. The candidates are A, B, C, and D. The result of the election is below. Find the winner using the pairwise method Determine if the winner is also the Condorcet winner. Number of Votes 14 10 8 4 1st choice A C D B C 2nd choice В B D D 3rd choice D B 4th choice D A A A A 1. Below are all of the different head-to-head possibilities. Fill in the chart below. Number of 14 10 8. 4 1 Winner in Votes A vs B A vs C A vs D Head-to-Head B vs C B vs D C vs D 2. Calculate the number of points for each candidate. A: В: С: D: 3. The pairwise winner is 4. Is there a Condorcet winner? Explain why or why not.
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