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 | 2nd choice 3rd choice 4th choice 20 16 12 А C D B B B D C D C 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-H 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?
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 | 2nd choice 3rd choice 4th choice 20 16 12 А C D B B B D C D C 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-H 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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
Related questions
Question
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Transcribed Image Text: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
1* 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
1t 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
1s* choice
A
D
B
2nd choice
B
B
D
3rd choice
4th choice
C
D
B
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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