Talk:Instant-runoff voting: Difference between revisions
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: http://www.votefair.org/clone_iia_success_rates.png |
: http://www.votefair.org/clone_iia_success_rates.png |
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: --[[User:VoteFair|VoteFair]] ([[User talk:VoteFair|talk]]) 22:54, 5 December 2023 (UTC) |
: --[[User:VoteFair|VoteFair]] ([[User talk:VoteFair|talk]]) 22:54, 5 December 2023 (UTC) |
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Regarding IIA, I think IRV can fail less. |
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Here’s a very strong example of IIA failing in IRV. I got this from somewhere on Wikipedia. |
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6 C > B > D > A |
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5 D > A > C > B |
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5 A > C > B > D |
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4 B > D > A > C |
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One-choice elects C. IRV elects C, Borda (4-3-2-1) elects C, Copeland elects C. I would elect A in step 8 or step 9. |
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Taking D out: |
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6 C > B > A |
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10 A > C > B |
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4 B > A > C |
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One-choice elects A, IRV elects A, Borda (3-2-1) elects A, Copeland elects A. I would elect A in step 5 or step 6. |
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In looking for the above example, I came across this one from the University of Nebraska where One-choice, Borda and IRV fail. |
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<nowiki>https://mathbooks.unl.edu/Contemporary/sec-5-5-arrow.html</nowiki> |
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6 A>B>D>C |
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5 D>B>C>A |
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4 C>D>B>A |
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2 B>C>D>A |
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IRV elects C. I will elect D in step 8 |
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Taking B out: |
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6 A>D>C |
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5 D>C>A |
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4 C>D>A |
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2 C>D>A |
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IRV elects C. I will elect D in step 8. |
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Food for thought. [[User:RalphInOttawa|RalphInOttawa]] ([[User talk:RalphInOttawa|talk]]) 01:44, 8 December 2023 (UTC) |