User:Jameson Quinn/SPARTA voting: Difference between revisions
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#### First, calculate the fraction F of each of these ballots that must be exhausted in order to exhaust one Droop quota overall.
####Any scores on these ballots which are higher than 5-5F are set to 5-5F.
Note that this reweighting does not require keeping "weights" separate from "scores". It simply uses up the ballot from the top down. Thus, for instance, a ballot which has exhausted 40% of its voting power (60% power remaining) cannot have any scores higher than 3, because 3 is 60% of 5.
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Revision as of 15:35, 30 October 2020
"SPARTA voting" (a temporary working title that stands for "Scored Proportional Automatic Runoff with Top Allocation") is a proportional voting method based on score ballots. It works as follows, in multi-seat districts:
- Voters score each candidate in the district from 0-5.
- Until all seats are filled, repeat the following steps:
- Using the current ballots and their weights, find the two "frontrunners", the candidates with the highest total scores.
- For each of these two frontrunners, order the ballots from highest scoring to lowest scoring, and find the candidate's "constituent score": their score on the ballot one Droop quota in. Whichever frontrunner has the higher constituent score gets a seat.
- If there is a tie, break it using total score. (Possible alternative tiebreakers: total score over the top Droop quota of ballots; or, total over top two Droop quotas of ballots)
- Exhaust one Droop quota of ballots.
- All ballots which score the winner higher than their constituent score are fully exhausted.
- All ballots which score the winner at exactly their constituent score are treated equally, partially exhausted.
- First, calculate the fraction F of each of these ballots that must be exhausted in order to exhaust one Droop quota overall.
- Any scores on these ballots which are higher than 5-5F are set to 5-5F.
Note that this reweighting does not require keeping "weights" separate from "scores". It simply uses up the ballot from the top down. Thus, for instance, a ballot which has exhausted 40% of its voting power (60% power remaining) cannot have any scores higher than 3, because 3 is 60% of 5.