Even with the corrected HTML, I'm not sure I understand this example; that 2nd place vote doesn't seem to be for anything, even "none of the above."
21 Bush > Gore > Dean 10 Gore > Bush > Dean 10 Gore > Dean > Bush 20 Dean > Gore > Bush
With IRV, Gore is eliminated, and Bush beats Dean 31-30. But wait! Gore is preferred to Bush 40-21 - a bigger percentage than any landslide election in our history. IRV picks the wrong winner in this scenario. As a result, the utility efficiency of IRV is significantly lower than that produced by Range Voting.
Actually, under our Constitution, if those were the results than both Gore and Dean would be eliminated after the first ballot, and Bush would be declared the winner 21-20-20:
"Votes shall first be tallied by the voter's first choices. If no majority is then obtained, the candidate who places last in the initial tallying shall be eliminated and the ballots listing it as first choice shall be redistributed on the basis of those ballots' second choices. This process shall be repeated until a majority-vote winner is obtained. If two or more candidates are tied for elimination during this process, the candidate that received fewer first-place votes shall be eliminated. If they are still tied, all the tied candidates shall be eliminated together."
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timeasmymeasure
no subject
Date: 2007-01-25 09:38 am (UTC)21 Bush > Gore > Dean
10 Gore > Bush > Dean
10 Gore > Dean > Bush
20 Dean > Gore > Bush
With IRV, Gore is eliminated, and Bush beats Dean 31-30. But wait! Gore is preferred to Bush 40-21 - a bigger percentage than any landslide election in our history. IRV picks the wrong winner in this scenario. As a result, the utility efficiency of IRV is significantly lower than that produced by Range Voting.
Actually, under our Constitution, if those were the results than both Gore and Dean would be eliminated after the first ballot, and Bush would be declared the winner 21-20-20:
"Votes shall first be tallied by the voter's first choices. If no majority is then obtained, the candidate who places last in the initial tallying shall be eliminated and the ballots listing it as first choice shall be redistributed on the basis of those ballots' second choices. This process shall be repeated until a majority-vote winner is obtained. If two or more candidates are tied for elimination during this process, the candidate that received fewer first-place votes shall be eliminated. If they are still tied, all the tied candidates shall be eliminated together."
Can I have another example?