8. a. Explain what the irrelevant criterion requires. b. A class is choosing among 4 candidates for president: Matthews (M), Bradford (B), Green (G), and Chad (C). The preference table is shown below. Number of voters 1st Choice 2ND Choice 3rd Choice 4th Choice 17 16 8 B C G M C M B M B G G C NMCGB 2 с When the pairwise comparison method was used, there was a tie for first place between Green and Chad (work for this is not shown). Then Matthews was disqualified because his GPA was too low and the votes were recounted. Was the irrelevant alternatives criterion violated if the pairwise voting method was used? Explain clearly by showing work and stating your answer in complete sentences.
8. a. Explain what the irrelevant criterion requires. b. A class is choosing among 4 candidates for president: Matthews (M), Bradford (B), Green (G), and Chad (C). The preference table is shown below. Number of voters 1st Choice 2ND Choice 3rd Choice 4th Choice 17 16 8 B C G M C M B M B G G C NMCGB 2 с When the pairwise comparison method was used, there was a tie for first place between Green and Chad (work for this is not shown). Then Matthews was disqualified because his GPA was too low and the votes were recounted. Was the irrelevant alternatives criterion violated if the pairwise voting method was used? Explain clearly by showing work and stating your answer in complete sentences.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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i need number 8, a and b
Transcribed Image Text:c. Now suppose the first election was declared invalid due to suspicion of voting machine error. When a second
election was held, everyone voted the same, except the 20 voters in the first column decided to change their vote
to favor Smith (the winner of the original election using plurality-with-elimination method). They changed their
ballot to S, X, and then U. Did the reelection violate the monotonicity criterion? Why or why not? Explain clearly
by showing work and stating your answer in complete sentences.
8.
a. Explain what the irrelevant criterion requires.
10
b. A class is choosing among 4 candidates for president: Matthews (M), Bradford (B), Green (G), and Chad (C).
The preference table is shown below.
Number of voters
1st Choice
2ND Choice
3rd Choice
4th Choice
17 16 8 2
B
G C
M
G
C M C
C M
B
G
M B G
B
When the pairwise comparison method was used, there was a tie for first place between Green and Chad (work
for this is not shown). Then Matthews was disqualified because his GPA was too low and the votes were
recounted. Was the irrelevant alternatives criterion violated if the pairwise voting method was used? Explain
clearly by showing work and stating your answer in complete sentences.
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