User:Jameson Quinn/SPARTA voting: Difference between revisions

cats
(Easier-to-understand, but synonymous, explanation.)
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#Until all seats are filled, repeat the following steps:
## Find the two "frontrunners", the candidates with the highest total "remaining scores".
###To calculate a candidate's "remaining score" on each ballot: it is either their score on that ballot, or the maximum score times the remaining voting power on that ballot; whichever is less.
####Example: if a ballot with 0.7 remaining voting power scored 4 and 3 for candidates X and Y respectively, the remaining score for X would be 3.5 (0.7 * 5) and for Y would be 3 (the raw score, since it is less than 3.5).
##For each of these two frontrunners, find their "threshold score": the highest score such that there are one quota of remaining voter power of ballots which give them that score or higher.
###For example: let's say the quota was 10. If candidate X is rated 5 on 6 ballots with an RVP of 1.0, 6 ballots with an RVP of 0.5 (bringing total RVP so far to 9.0), and rated 4 on 6 ballots with an RVP of 1.0 (bringing total RVP to 12.0, and thus more than one quota), then their threshold score would be 4.
### If there is a tie (twe candidates with the same threshold score), break it using total remaining 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 max remaining score.
### All ballots which (originally) scored the winner higher than their threshold score are fully exhausted (That is, their remaining voting power becomes 0.)
### All ballots which score the winner at exactly their constituent score are treated equally, partially exhausted.
#### First, calculate the fraction E of each of these ballots that must be exhausted in order to exhaust one quota of remaining score overall.
####Multiply the remaining voting power of each of these ballots by (1-E).
 
 
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[[Category:Multi-winner voting methods]]
[[Category:Proportional voting methods]]