User:Jameson Quinn/SPARTA voting
"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 overall average 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 the average overall score. (Possible alternative tiebreakers: average score over the top Droop quota of ballots; or, average 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. Each ballot's weight is multiplied by (1-F).
- (OPTIONAL:) Second, recalculate all the scores on the reweighted ballots in order to "use up" the correct amount of their voting power. All scores are divided by (1-F); if that would make a score higher than 5 (the maximum), it is set to 5.