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John Lorenz 1 3 Marcia Beasley 3 1 Stephen Hyde 2 2 Number of votes: 2595 2355 3 2 1 224 (d) Explain why the Condorcet criterion has been violated. There is not a tie for second-place. The candidate that finishes in third-place should have won. There is not a tie for first-place. No candidate got all of the votes. The candidate that wins all the head-to-head matches does not win the election

John Lorenz 1 3 Marcia Beasley 3 1 Stephen Hyde 2 2 Number of votes: 2595 2355 3 2 1 224 (d) Explain why the Condorcet criterion has been violated. There is not a tie for second-place. The candidate that finishes in third-place should have won. There is not a tie for first-place. No candidate got all of the votes. The candidate that wins all the head-to-head matches does not win the election

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Three candidates are running for mayor. A vote was taken in which the candidates were ranked in order of preference. The results are shown in the preference schedule below. Rankings John Lorenz 1 3 3 Marcia Beasley 3 1 2 Stephen Hyde 2 2 1 Number of votes: 2595 2355 224 (d) Explain why the Condorcet criterion has been violated. There is not a tie for second-place. The candidate that finishes in third-place should have won. There is not a tie for first-place. No candidate got all of the votes. The candidate that wins all the head-to-head matches does not win the election. (f) Explain why the independence of irrelevant alternatives criterion has been violated. The candidate that withdrew won the election. The candidate winning the original election did not remain the winner in a recount in which a losing candidate withdrew from the race. O O The candidate winning the original election remained the winner in a recount in which a losing candidate withdrew from the race. Two candidates got the same number of votes. Since there were not three candidates, there has to be a re-vote.
Transcribed Image Text:Three candidates are running for mayor. A vote was taken in which the candidates were ranked in order of preference. The results are shown in the preference schedule below. Rankings John Lorenz 1 3 3 Marcia Beasley 3 1 2 Stephen Hyde 2 2 1 Number of votes: 2595 2355 224 (d) Explain why the Condorcet criterion has been violated. There is not a tie for second-place. The candidate that finishes in third-place should have won. There is not a tie for first-place. No candidate got all of the votes. The candidate that wins all the head-to-head matches does not win the election. (f) Explain why the independence of irrelevant alternatives criterion has been violated. The candidate that withdrew won the election. The candidate winning the original election did not remain the winner in a recount in which a losing candidate withdrew from the race. O O The candidate winning the original election remained the winner in a recount in which a losing candidate withdrew from the race. Two candidates got the same number of votes. Since there were not three candidates, there has to be a re-vote.
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