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Reweighted range voting: Difference between revisions

→‎Procedure: Reworded the description for clarity. Added a section on Variations to include a variation for RRV + Final round runoff.
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(→‎Procedure: Reworded the description for clarity. Added a section on Variations to include a variation for RRV + Final round runoff.)
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Each ballot is given an initial "weight" of 1.
 
1. The highest scoring candidate wins the first seat.
Repeat the following P times, where P is the number of winners to be chosen:
 
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
1. The weighted scores on the ballots are summed for each candidate, thus obtaining that candidate's total score.
 
'''Reweighted ballot = 1/(1+SUM/MAX), where SUM is the sum of the scores that ballot gives to the winners-so-far'''
2. The candidate with the highest total score (who has not already won), is declared a winner.
 
3. The remaining candidate with the highest total reweighted score wins, and the process is repeated until all available seats have been filled.
3. When a voter "gets her way" in the sense that a candidate she rated highly wins, her ballot weight is reduced so that she has less influence on later choices of winners. To accomplish that, each ballot is given a new weight = 1/(1+SUM/MAX), where SUM is the sum of the scores that ballot gives to the winners-so-far (if one person won multiple seats, they contribute multiple times to SUM).
 
 
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).
 
== Variations ==
A variant to the algorithm is to use the reweighting formula 0.5/(0.5 + SUM/MAX).
 
 
A 5 STAR variation in which a final runoff is preformed for the last seat available has been proposed in order to incentivize voters to more honestly express their preference order and degree of support.
 
 
Each voter submits a ballot in which candidates are scored from 0 (worst) to 5 (best.)
 
Each ballot is given an initial "weight" of 1.
 
1. The highest scoring candidate wins the first seat.
 
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/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 voters winning the final seat.
 
 
[[Category:Cardinal voting methods]]
[[Category:Proportional voting methods]]
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