Explanation Given: A preference table. First Choice A C B C Second Choice B B C A Third Choice C A A B Voters 22 20 16 8 a. Plurality method: In Plurality method, the candidate with the maximum first-place votes is the winner. In the table above, C is at the first place in columns 2 and 4. C has a total of 20+8=28 votes. Therefore, C has the maximum first-place votes and is the winner. So, the winner by plurality is C. b. Single runoff method: In Single runoff method, the two candidates with the most first-place votes face a runoff. The candidate who wins the runoff is the winner of the election. So, the runoff would be between first-place candidate C and second-place candidate A. Since, B is not there in the runoff, candidates who first chose B will now choose their second choice, that is, C. Therefore, C gets: 28 + 16 = 44 votes . This is more than candidate A’s 22 votes in the runoff. So, the winner by single runoff is C. c. Sequential runoff method: In Sequential runoff method, a series of runoffs are conducted, where the candidate with the fewest first-place votes is eliminated at each stage. Runoffs go on till a candidate receives the majority of the first-place votes. In this case, B has the fewest first-place votes, so, B would be eliminated and a runoff would be there between first-place candidate C and second-place candidate A. Since, B is not there in the runoff, candidates who first chose B will now choose their second choice, that is, C. Therefore, C gets: 28 + 16 = 44 votes . This is more than candidate A’s 22 votes in the runoff. So, the winner by Sequential runoff is C...

15th Edition

ISBN: 9781269927116

Author: Bennett

Publisher: PEARSON

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Chapter 12.A, Problem 29E

To determine

The winners for the preference table by plurality, single runoff, sequential runoff, point system and pairwise comparisons.

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Chapter 12.A, Problem 28E

Chapter 12.A, Problem 30E

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Ch. 12.A - Prob. 1QQ Ch. 12.A - Prob. 2QQ Ch. 12.A - Prob. 3QQ Ch. 12.A - Prob. 4QQ Ch. 12.A - Prob. 5QQ Ch. 12.A - Prob. 6QQ Ch. 12.A - Prob. 7QQ Ch. 12.A - Prob. 8QQ Ch. 12.A - 9. Study Table 12.5. Which candidate received the...Ch. 12.A - 10. What is the primary lesson of the preference...

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