Head-to-Head Criterion and Plurality with Elimination Below are 4 candidates and the result from an election. Find the winner using the pairwise method and determine if the winner is also the Condorcet winner. Determine if the plurality with elimination method violates the head-to-head criterion. Number of Votes 1* choice 20 16 12 D A C B 2nd choice 3rd choice 4th choice B B D D B D A A A 1. How many votes are needed to win the majority? Below are all of the different head-to-head possibilities. Fill in the chart. 20 16 12 Winner in Head-to-Head A vs B A vs C A vs D B vs C B vs D C vs D 2. Who is the head-to-head winner? How does the candidate win the head-to-head? 3. Is there a majority from the start?

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Head-to-Head Criterion and Plurality with Elimination
Below are 4 candidates and the result from an election.
Find the winner using the pairwise method and determine if the winner is also the
Condorcet winner.
Determine if the plurality with elimination method violates the head-to-head criterion.
Number of Votes
20
16
12
6
1st choice
A
C
D
В
2nd choice
B
B
C
D
3rd choice
C
D
B
4th choice
D
A
A
A
1. How many votes are needed to win the majority?
Below are all of the different head-to-head possibilities. Fill in the chart.
20
16
12
6
Winner in Head-to-Head
A vs B
A vs C
A vs D
B vs C
B vs D
C vs D
2. Who is the head-to-head winner? How does the candidate win the head-to-head?
3. Is there a majority from the start?
4. Determine the winner using the plurality with elimination method.
The candidate who gets eliminated is
The number of votes the candidate received are:
5. What does the chart look like now? Fill in the chart below.
Number of Votes
20
16
12
6
1st choice
2nd choice
3rd choice
6. Is there a majority winner? If no, who gets eliminated?
7. What does the chart look like now? Fill in the chart below.
Number of Votes
20
16
12
6
1st choice
2nd choice
8. Is there a majority winner? If so, how many votes did they receive?
9. What can you say about the head-to-head criterion? Determine whether or not the
plurality with elimination method violates the head-to-head criterion.
Write your response below:
Transcribed Image Text:Head-to-Head Criterion and Plurality with Elimination Below are 4 candidates and the result from an election. Find the winner using the pairwise method and determine if the winner is also the Condorcet winner. Determine if the plurality with elimination method violates the head-to-head criterion. Number of Votes 20 16 12 6 1st choice A C D В 2nd choice B B C D 3rd choice C D B 4th choice D A A A 1. How many votes are needed to win the majority? Below are all of the different head-to-head possibilities. Fill in the chart. 20 16 12 6 Winner in Head-to-Head A vs B A vs C A vs D B vs C B vs D C vs D 2. Who is the head-to-head winner? How does the candidate win the head-to-head? 3. Is there a majority from the start? 4. Determine the winner using the plurality with elimination method. The candidate who gets eliminated is The number of votes the candidate received are: 5. What does the chart look like now? Fill in the chart below. Number of Votes 20 16 12 6 1st choice 2nd choice 3rd choice 6. Is there a majority winner? If no, who gets eliminated? 7. What does the chart look like now? Fill in the chart below. Number of Votes 20 16 12 6 1st choice 2nd choice 8. Is there a majority winner? If so, how many votes did they receive? 9. What can you say about the head-to-head criterion? Determine whether or not the plurality with elimination method violates the head-to-head criterion. Write your response below:
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