Cardinal voting systems: Difference between revisions

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m (Added point on how methods satisfying the Condorcet criterion can sometimes come closer to the utilitarian result than methods only satisfying the majority criterion. Also made a good-faith edit where I believe the writer meant to say "lowers" and not "raises".)
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* '''Bloc Score Voting''': Each voter scores all the candidates on a scale with three or more units. Starting the scale at zero is preferable. Add all the scores. Elect the candidates with the highest total score until all positions are filled.
* '''Bloc STAR Voting''': Each voter scores all the candidates on a scale from 0-5. All the scores are added and the two highest scoring candidates advance to an automatic runoff. The finalist who was preferred by (scored higher by) more voters wins the first seat. The next two highest scoring candidates then runoff, with the finalist preferred by more voters winning the next seat. This process continues until all positions are filled.
===Sequential [https://electowiki.org/wiki/Proportional_representation Proportional] Methods===
 
===Sequential [https://electowiki.org/wiki/Proportional_representation[Proportional representation | Proportional]] Methods===
Sequential Cardinal Systems elect winners one at a time in sequence using a candidate selection method and a reweighting mechanism. The single-winner version of the selection is applied to find the first winner, then a reweighting is applied before the selection of the next and subsequent winners. A reweighting is applied to either the ballot or the scores for the ballot itself. The purpose of the reweighting phase is to ensure that the[[Proportional representation| Hare Quota Criterion]] is met to ensure proportional election outcomes.
 
Sequential Cardinal Systems elect winners one at a time in sequence using a candidate selection method and a reweighting mechanism. The single-winner version of the selection is applied to find the first winner, then a reweighting is applied before the selection of the next and subsequent winners. A reweighting is applied to either the ballot or the scores for the ballot itself. The purpose of the reweighting phase is to ensure that the [[Proportional representation| Hare Quota Criterion]] is met to ensure proportional election outcomes.
 
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===[https://rangevoting.org/QualityMulti.html Optimal] [https://electowiki.org/wiki/Proportional_representation[Proportional representation | Proportional]] Methods ===
 
Optimal Systems select all winners at once by optimizing a specific desirable metric for proportionality. First a "quality function" or desired outcome is determined, and then an algorithm is used to determine the winner set that best maximizes that outcome. In most systems this is done by permuting to all possible winner sets not a [[W: Mathematical optimization | maximization algorithm]]. This makes such systems computationally expensive.
 
* [https://rangevoting.org/QualityMulti.html Harmonic Voting]
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* [[Phragmén's Method]]
* [[Monroe's Method]]
* [https://arxiv.org/abs/1602.05248 PAMSAC]
 
[[Category:Cardinal voting methods]]
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