Single transferable vote: Difference between revisions

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(Add references section, Benham elimination mechanism, and reference to a variant of ER-STV(Whole))
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* Disallowing them, requiring full rankings
* Disallowing them, requiring full rankings
* Counting a ballot with N top-ranked candidates as 1/N of a vote for each candidate.
* Counting a ballot with N top-ranked candidates as 1/N of a vote for each candidate.
* Giving one vote to each equally-top-ranked candidate. Can optionally be combined with a suggestion that ballots that equally rank candidates shouldn't be able to prevent the elimination of those candidates.<ref name="reddit 2011">{{cite web | title=Proportionality failure in STV with equal-ranks with whole votes : EndFPTP | website=reddit | date=2019-12-05 | url=https://www.reddit.com/r/EndFPTP/comments/e6bt6s/proportionality_failure_in_stv_with_equalranks/f9thuy4/?context=8&depth=9 | access-date=2020-02-10}}</ref>
* Giving one vote to each equally-top-ranked candidate.


=== Methods of transferring excess votes ===
=== Methods of transferring excess votes ===
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* Standard STV: Eliminate the candidate with the fewest top-choice votes.
* Standard STV: Eliminate the candidate with the fewest top-choice votes.
* [[BTR-STV]]: Eliminate the pairwise loser of the bottom two candidates (meets [[Condorcet criterion]] in single-winner elections).
* [[BTR-STV]]: Eliminate the pairwise loser of the bottom two candidates (meets [[Condorcet criterion]] in single-winner elections).
* [[Benham's method|Benham]]: If the candidate with the fewest top-choice votes beats every other remaining candidate pairwise, eliminate the candidate with the next fewest top-choice votes. Meets the [[Condorcet criterion]] in single-winner elections.
* [[STV-CLE]]: Eliminate the loser of a [[Condorcet ranking]]
* [[STV-CLE]]: Eliminate the loser of a [[Condorcet ranking]]


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4. Eliminate the candidate with the fewest 1st choices and redistribute their voters' votes to their next preferences. Go to step 2.
4. Eliminate the candidate with the fewest 1st choices and redistribute their voters' votes to their next preferences. Go to step 2.


* Conceptually speaking, the candidates who are eliminated during the STV portion of the count could be said to be eliminated from contention for the first N - 1 seats, but still remain in contention for the final seat; though technically, it's possible for the final seat to be filled during the STV count itself (i.e. in a 2-seat election, 2 candidates might each have a quota of 1st choices and automatically win).<ref>https://www.reddit.com/r/EndFPTP/comments/f0muwv/pseudocode_for_stv_with_condorcet_for_the_final/</ref></blockquote>If the single-winner method passes the [[Majority criterion|majority criterion]], then this modification makes STV with Droop quotas become the single-winner method in the single-winner case, since a candidate with a Droop quota of 1st choices is the majority's 1st choice in the single-winner case. If STV with Hare Quotas is used instead, then this modification can be used with any single-winner method that passes [[Pareto criterion|unanimity]] and reduce to that single-winner method in the single-winner case.
* Conceptually speaking, the candidates who are eliminated during the STV portion of the count could be said to be eliminated from contention for the first N - 1 seats, but still remain in contention for the final seat; though technically, it's possible for the final seat to be filled during the STV count itself (i.e. in a 2-seat election, 2 candidates might each have a quota of 1st choices and automatically win).<ref name="reddit pseudo">{{cite web | title=Pseudocode for STV with Condorcet for the final seat : EndFPTP | website=reddit | date=2020-02-08 | url=https://www.reddit.com/r/EndFPTP/comments/f0muwv/pseudocode_for_stv_with_condorcet_for_the_final/ | access-date=2020-02-10}}</ref></blockquote>If the single-winner method passes the [[Majority criterion|majority criterion]], then this modification makes STV with Droop quotas become the single-winner method in the single-winner case, since a candidate with a Droop quota of 1st choices is the majority's 1st choice in the single-winner case. If STV with Hare Quotas is used instead, then this modification can be used with any single-winner method that passes [[Pareto criterion|unanimity]] and reduce to that single-winner method in the single-winner case.


5-winner example:<blockquote>45 L1 > L2 > L3 > C > R2 > R1
5-winner example:<blockquote>45 L1 > L2 > L3 > C > R2 > R1
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*[http://www.stvaction.org.uk STV Action - a group campaigning for STV]
*[http://www.stvaction.org.uk STV Action - a group campaigning for STV]


== References ==


{{fromwikipedia}}
{{fromwikipedia}}