Consider the given preference schedule with the number of voters ranking the candidates in a local community plebiscite.Rank13155121stWXYY2ndXWZX3rdZZXW4thYYWZ23. Who wins by Copeland or Pairwise comparison method?Group of answer choicesCandidate XCandidate ZCandidate WCandidate Y
Question
Consider the given preference schedule with the number of voters ranking the candidates in a local community plebiscite.Rank13155121stWXYY2ndXWZX3rdZZXW4thYYWZ23. Who wins by Copeland or Pairwise comparison method?Group of answer choicesCandidate XCandidate ZCandidate WCandidate Y
Solution
To determine the winner using the Copeland or Pairwise comparison method, we need to compare each candidate against each other candidate in head-to-head contests.
The Copeland method awards one point for a win and a half point for a tie in these head-to-head contests. The candidate with the most points is the winner.
Let's break down the head-to-head contests:
- W vs X: W wins with 13 votes to 5.
- W vs Y: W wins with 13 votes to 5.
- W vs Z: Z wins with 12 votes to 6.
- X vs Y: X wins with 8 votes to 5.
- X vs Z: Z wins with 12 votes to 6.
- Y vs Z: Z wins with 12 votes to 6.
Now, let's tally the points:
- Candidate W: 2 points (for beating X and Y)
- Candidate X: 1 point (for beating Y)
- Candidate Y: 0 points (didn't win any head-to-head contests)
- Candidate Z: 3 points (for beating W, X, and Y)
So, according to the Copeland or Pairwise comparison method, Candidate Z wins.
Similar Questions
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