he superintendent of a school system is trying to choose between 4 speaker ay for teachers. He sends out a survey to teachers to help him make the de ossible choices are: . МеСоy (М), • Chuck (C), • Bowden (B), and • Spock (S). he result of the vote is below. |Number of Votes 18 22 18 12 M First M B S |Second Third Fourth C S M S S B M B S B B M se the pairwise comparison method to determine the winner. Iso, determine if the pairwise comparison method violates the irrelevant a riterion. 1. The number of votes needed to win the majority is 2. Fill in the chart to help determine the winner. 18 22 18 12 M vs C M vs B M vs S C vs B C vs S B vs S 3. The winner in a pairwise comparison is owden informs the committee that he cannot speak on the first day for tea ne columns can be combined.

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Irrelevant Alternative Criterion and Pairwise Comparison
The superintendent of a school system is trying to choose between 4 speakers for the first
day for teachers. He sends out a survey to teachers to help him make the decision. The
possible choices are:
. МcСoy (М),
• Chuck (C),
• Bowden (B), and
• Spock (S).
The result of the vote is below.
Number of Votes
18
22
18
12
9
First
M
B
S
M
Second
C
S
M
S
S
Third
B
M
C
B
Fourth
S
В
B
M
Use the pairwise comparison method to determine the winner.
Also, determine if the pairwise comparison method violates the irrelevant alternative
criterion.
1. The number of votes needed to win the majority is
2. Fill in the chart to help determine the winner.
18
22
18
12
9
Winner in
Head-to-Head
M vs C
M vs B
M vs S
C vs B
C vs S
B vs S
3. The winner in a pairwise comparison is
Bowden informs the committee that he cannot speak on the first day for teachers. Two of
the columns can be combined.
Number of Votes
18
40
12
9
First
M
S
M
Second
M
S
M
Third
S
C
S
4. Fill in the chart to help determine the winner.
18
40
12
9
Winner in
Head-to-Head
M vs C
M vs S
S vs C
5. The candidate who wins the vote is
6. Does this violate the irrelevant alternative criterion? Explain why.
Write your response below:
Transcribed Image Text:Irrelevant Alternative Criterion and Pairwise Comparison The superintendent of a school system is trying to choose between 4 speakers for the first day for teachers. He sends out a survey to teachers to help him make the decision. The possible choices are: . МcСoy (М), • Chuck (C), • Bowden (B), and • Spock (S). The result of the vote is below. Number of Votes 18 22 18 12 9 First M B S M Second C S M S S Third B M C B Fourth S В B M Use the pairwise comparison method to determine the winner. Also, determine if the pairwise comparison method violates the irrelevant alternative criterion. 1. The number of votes needed to win the majority is 2. Fill in the chart to help determine the winner. 18 22 18 12 9 Winner in Head-to-Head M vs C M vs B M vs S C vs B C vs S B vs S 3. The winner in a pairwise comparison is Bowden informs the committee that he cannot speak on the first day for teachers. Two of the columns can be combined. Number of Votes 18 40 12 9 First M S M Second M S M Third S C S 4. Fill in the chart to help determine the winner. 18 40 12 9 Winner in Head-to-Head M vs C M vs S S vs C 5. The candidate who wins the vote is 6. Does this violate the irrelevant alternative criterion? Explain why. Write your response below:
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