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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 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?

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?

Advanced Engineering Mathematics
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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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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