Sequential proportional score voting: Difference between revisions

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Sequential proportional score voting (SPSV) is an [[Cardinal voting systems|Cardinal voting system]] that extends the concepts of [[Sequential proportional approval voting]] to [[Score voting]] ballots using the [[Kotze-Pereira transformation]]. For this reason, it is often referred to as SPAV + KP. It is one of the three extensions of [[Sequential proportional approval voting|SPAV]] to score ballots along with [[Reweighted Range Voting]] and [[Single distributed vote]].
Sequential proportional score voting (SPSV) is an [[Cardinal voting systems|Cardinal voting system]] that extends the concepts of [[Sequential proportional approval voting]] to [[Score voting]] ballots using the [[Kotze-Pereira transformation]]. For this reason, it is often referred to as SPAV + KP. It is one of the three extensions of [[Sequential proportional approval voting|SPAV]] to score ballots along with [[Reweighted Range Voting]] and [[Single distributed vote]]. However, unlike the other two methods, SPSV passes both the additive and multiplicative versions of [[Scale invariance]]. It is the sequential version of [[Harmonic Voting]].


==Procedure==
==Procedure==
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[[Category:Proportional voting methods]]
[[Category:Proportional voting methods]]
[[Category:Multi-winner voting methods]]
[[Category:Multi-winner voting methods]]
[[Category:Cardinal voting methods]]
[[Category:Cardinal PR methods]]

Latest revision as of 10:58, 6 April 2024

Sequential proportional score voting (SPSV) is an Cardinal voting system that extends the concepts of Sequential proportional approval voting to Score voting ballots using the Kotze-Pereira transformation. For this reason, it is often referred to as SPAV + KP. It is one of the three extensions of SPAV to score ballots along with Reweighted Range Voting and Single distributed vote. However, unlike the other two methods, SPSV passes both the additive and multiplicative versions of Scale invariance. It is the sequential version of Harmonic Voting.

Procedure

Voters cast ballots by rating all candidates on a scale such as 0 to 5, where a blank rating is interpreted as the minimum value. Each rated ballot is converted into five virtual approval ballots using the KP transform.

Once this is done, SPAV is run on the virtual approval ballots to determine which candidates are elected. Each virtual ballot starts off with a weight of 1. For each seat, the candidate with the most weighted approvals is elected, and every virtual ballot is given a weight of 1/(1 + m), where m is the number of candidates approved on the ballot who have already been elected.

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