Single non-transferable vote: Difference between revisions

Added reference to generalized Duverger's law
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{{wikipedia}}
{{see-wp}}SNTV is [[Choose-one FPTP voting|choose-one FPTP voting]] applied to the multi-winner context. It is a semi-proportional method.
 
{{see-wp}}SNTV is [[Choose-one FPTP voting|choose-one FPTP voting]] applied to the multi-winner context. It is a semi-proportional method.
SNTV passes a very weak form of Droop-[[PSC]]: if a group of voters of at least k Droop quotas perfectly evenly distribute their votes between k candidates (meaning none of the k candidates has more than one vote more than any of the other k candidates)
 
SNTV passes a very weak form of Hagenbach-Bischoff-[[PSC]] (and Droop-PSC): if a group of voters of at least k HB quotas evenly distribute their votes between k candidates such that each candidate has at least one HB quota, then they can guarantee all of those candidaten.n.k icandidates either tie or win. This is because, ofthere thecan at most be ((number of winners) candidates+ with1) theHB mostquotas votesin whoan areelection, notso onewhen ofk thecandidates khave candidatesHB quotas, at most ((number of winners) - k + 1) of themcandidates can notalso behave oneHB ofquotas, theresulting kin a candidatestie. ForAs an example, if there are 53 seats, and a group of100 voters, ofand 2 Droopcandidates quotaseach equallyhave supportsan 2exact candidesatHB quota (25 votes), then ateither mostonly anyone other 4candidate candidateshas canmore eachvotes getthan lessthe than2 a(more Droopthan quota25), (becausemeaning therethe can2 onlywill be (numberamong ofthe winners)top Droop3 quotascandidates of(since votersif inthree thecandidates electionhave over 75 votes together, sincethen thisthat ismeans oneany ofother thecandidate propertiesmust ofhave afewer Droopthan quota25 votes), andor thustwo the 2other candidates arealso guaranteedhave to25 bevotes amongeach, theresulting topin 5a and wintie.
 
If the k candidates instead each have a Droop quota, they are guaranteed to win, rather than only being guaranteed to either tie or win.
 
By analog to [[Duverger's law]], SNTV in n-seat districts tends to produce (n+1)-party rule.<ref>{{cite journal|title=Structure and Behaviour: Extending Duverger's Law to the Japanese Case|journal=British Journal of Political Science|first1=Steven R.|last1=Reed|volume=20|issue=3|year=1990|pages=335–356|jstor=193914|doi=10.1017/S0007123400005871}}</ref>
 
== Notes ==
SNTV can be combined with [[Party List]] by allowing each voter to give their vote to a party or to a candidate; the parties can each be allocated a certain number of seats, while independents can still win on their own. Note that this is possible even in the single-winner case (where SNTV is equivalent to the common choose-one [[FPTP]] voting method) to ensure that a plurality or majority elect someone from their preferred group of candidates, if there are many candidates in that group splitting the vote. The cast votes can also themselves be used to decide who within the Party List should win i.e. the candidates on the list with the most votes can be prioritized.
 
[[Category:Voting methods]]
== References ==
<references />
 
[[Category:VotingSemi-proportional voting methods]]
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