Use the table below to determine the Borda winner. Assign the point values to each vote. Number of Votes First (4 pts) 40 25 30 18 A A D Second (3 pts) B D Third (2 pts) C D Fourth (1 pt) D C A A

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Head-to-Head Criterion and Borda
Answer the following questions and determine if the Borda method violates the
head-to-head criterion.
Use the table below to determine the Borda winner. Assign the point values to each vote.
Number of Votes
40
25
30
18
First (4 pts)
A
A
C
D
Second (3 pts)
B
B
D
B
Third (2 pts)
C
D
В
C
Fourth (1 pt)
D
C
A
A
1. List the total points for each candidate.
Show how you calculate each candidate's total points.
A:
B:
C:
D:
2. Under the Borda method, the candidate who wins the vote is
3. How many votes are needed to win the majority?
4. Now determine the head-to-head winner. Fill in the table below. The first column is filled
out for you as an example.
30
Winner in
40
25
18
Нead-to-Head
A vs B
A vs C
A vs D
B vs C
B vs C
C vs D
A=40
A=25
B=30
B=18
A
5. Who wins the head-to-head? How does the candidate win the head-to-head?
6. What can you say about the head-to-head criterion? Determine whether or not the Borda
method violates the head-to-head criterion.
Write your response below:
Transcribed Image Text:Head-to-Head Criterion and Borda Answer the following questions and determine if the Borda method violates the head-to-head criterion. Use the table below to determine the Borda winner. Assign the point values to each vote. Number of Votes 40 25 30 18 First (4 pts) A A C D Second (3 pts) B B D B Third (2 pts) C D В C Fourth (1 pt) D C A A 1. List the total points for each candidate. Show how you calculate each candidate's total points. A: B: C: D: 2. Under the Borda method, the candidate who wins the vote is 3. How many votes are needed to win the majority? 4. Now determine the head-to-head winner. Fill in the table below. The first column is filled out for you as an example. 30 Winner in 40 25 18 Нead-to-Head A vs B A vs C A vs D B vs C B vs C C vs D A=40 A=25 B=30 B=18 A 5. Who wins the head-to-head? How does the candidate win the head-to-head? 6. What can you say about the head-to-head criterion? Determine whether or not the Borda method violates the head-to-head criterion. Write your response below:
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