Reweighted range voting: Difference between revisions
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'''Reweighted Score Voting''', also known as '''Reweighted Range Voting''' ('''RRV'''), is a [[Multi-Member System | Multi-Member ]] [[Score voting]] System. It is the natural extension of the [[Jefferson Method]] to a [[Multi-Member System]]. If two
==Procedure==
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Each ballot is given an initial "weight" of 1.
#: '''Reweighted ballot = 1/(1+SUM/MAX), where SUM is the sum of the scores that ballot gives to the winners-so-far'''▼
See [http://www.rangevoting.org/RRV.html Reweighted Range Voting] for more details (some of the wording on this page is taken from there).
▲2. When a candidate wins, all ballots supporting that candidate are then reweighted, resulting in reduced vote weight going forward for voters who have successfully helped to elect a candidate. This reweighting happens in proportion to the amount of support given in order to ensure that all voters have an equitable amount of influence on the election
▲'''Reweighted ballot = 1/(1+SUM/MAX), where SUM is the sum of the scores that ballot gives to the winners-so-far'''
▲3. The remaining candidate with the highest total reweighted score wins, and the process is repeated until all available seats have been filled.
▲See http://www.rangevoting.org/RRV.html for more details (some of the wording on this page is taken from there). A variant is to use the reweighting formula 0.5/(0.5 + SUM/MAX).
▲== Reweighting Variations ==
One variation is to use the reweighting formula 1/(1 + SUM/MAX). This variant reduces to D'Hondt when voters vote on party lines.
Another variant is to use the reweighting formula 0.5/(0.5 + SUM/MAX), or equivalently, 1/(1 + 2*SUM/MAX). This variant reduces to Sainte-Laguë when voters vote on party lines.
There is an infinite number of variants that all use the
== Method Variations ==▼
A 5 STAR variation in which a final runoff is performed for the last seat available has been proposed in order to incentivize voters to more honestly express their preference order and degree of support. ▼
▲A 5
Each voter submits a ballot in which candidates are scored from 0 (worst) to 5 (best.)
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Each ballot is given an initial "weight" of 1.
#: '''Reweighted ballot = 1/(1+2*SUM/5), where SUM is the sum of the scores that ballot gives to the winners-so-far'''▼
▲2. When a candidate wins, all ballots supporting that candidate are then reweighted, resulting in reduced vote weight going forward for voters who have successfully helped to elect a candidate. This reweighting happens in proportion to the amount of support given in order to ensure that all voters have an equitable amount of influence on the election
▲'''Reweighted ballot = 1/(1+2*SUM/5), where SUM is the sum of the scores that ballot gives to the winners-so-far'''
▲3. The remaining candidate with the highest total reweighted score wins each seat available- up until the final seat up for election.
▲4. For the final seat available, the two highest scoring candidates remaining runoff, with the candidate preferred (scored higher) by more reweighted ballots winning the final seat.
[[Category:Cardinal voting methods]]
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