ER-Bucklin: Difference between revisions
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#REDIRECT [[Majority Choice Approval]] |
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== Definition == |
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It is a rated version of [[Bucklin voting]] that allows voters to give equal rankings to some candidates. There are at least two main versions of ER-Bucklin; these are '''ER-Bucklin (whole)''' and '''ER-Bucklin (fractional)'''. |
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== ER-Bucklin (whole) == |
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''If a ballot lists n candidates as tied in kth place, count that ballot as a whole point for all n candidates beginning in the kth round.'' |
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Note: A candidate is ranked in kth place on a given ballot if there are k-1 candidates who are ranked strictly higher. For example, a ballot marked A>B=C=D>E>F=G=H=I>J should be considered to rank A to in 1st place, B, C, and D in 2nd place, E in 5th place, F, G, H, and I in 6th place, and J in 10th place. Thus, the ballot would not count in favor of E until the 5th round, and it would not count in favor of J until the 10th round. |
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This rule is perhaps unique in that it satisfies both the "[[favorite betrayal]]" criterion and the [[Majority criterion for solid coalitions]]. |
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== ER-Bucklin (fractional) == |
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''If a ballot lists n candidates as tied in kth place, count that ballot as 1/n point for all n candidates in the kth round, adding another 1/n point in each subsequent round until the ballot has contributed 1 point to all n candidates.'' |
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== Example == |
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:36 voters: A>B1=B2>C |
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:34 voters: B1=B2>C>A |
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:30 voters: C>A>B1=B2 |
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:::''or'': |
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{| class="wikitable" border="1" |
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!# |
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!1st |
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!2nd |
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!3rd |
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!4th |
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|- |
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|36 |
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|A |
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|B1&B2 |
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| |
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|C |
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|- |
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|34 |
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|B1&B2 |
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| |
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|C |
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|A |
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|- |
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|30 |
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|C |
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|A |
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|B1&B2 |
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| |
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|} |
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=== ER-Bucklin(whole) tally === |
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{| class="wikitable" border="1" |
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!candidate |
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!round 1 |
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!round 2 |
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|- |
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|A |
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|36 |
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|66 |
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|- |
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|B1 |
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|34 |
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|70 |
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|- |
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|B2 |
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|34 |
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|70 |
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|- |
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|C |
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|30 |
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|30 |
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|} |
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There is a tie between B1 and B2. |
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=== ER-Bucklin(fractional) tally === |
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{| class="wikitable" border="1" |
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!candidate |
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!round 1 |
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!round 2 |
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|- |
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|A |
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|36 |
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|66 |
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|- |
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|B1 |
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|17 |
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|52 |
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|- |
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|B2 |
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|17 |
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|52 |
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|- |
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|C |
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|30 |
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|30 |
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|} |
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A wins. |
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''Work in progress'' |
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== See also == |
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[[Bucklin voting]] |
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[[Category:Graded Bucklin methods]] |
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Latest revision as of 03:05, 8 February 2024
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