Reweighted range voting: Difference between revisions
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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. |
Each ballot is given an initial "weight" of 1. |
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1. The highest scoring candidate wins the first seat. |
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Repeat the following P times, where P is the number of winners to be chosen: |
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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 |
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1. The weighted scores on the ballots are summed for each candidate, thus obtaining that candidate's total score. |
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'''Reweighted ballot = 1/(1+SUM/MAX), where SUM is the sum of the scores that ballot gives to the winners-so-far''' |
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2. The candidate with the highest total score (who has not already won), is declared a winner. |
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3. The remaining candidate with the highest total reweighted score wins, and the process is repeated until all available seats have been filled. |
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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). |
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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). |
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). |
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== Variations == |
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A variant to the algorithm is to use the reweighting formula 0.5/(0.5 + SUM/MAX). |
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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. |
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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. |
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1. The highest scoring candidate wins the first seat. |
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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 |
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'''Reweighted ballot = 1/(1+SUM/5), where SUM is the sum of the scores that ballot gives to the winners-so-far''' |
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3. The remaining candidate with the highest total reweighted score wins each seat available- up until the final seat up for election. |
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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. |
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[[Category:Cardinal voting methods]] |
[[Category:Cardinal voting methods]] |
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[[Category:Proportional voting methods]] |
[[Category:Proportional voting methods]] |