User:Jameson Quinn/SPARTA voting: Difference between revisions
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#Until all seats are filled, repeat the following steps: |
#Until all seats are filled, repeat the following steps: |
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## Find the two "frontrunners", the candidates with the highest total "remaining scores". |
## Find the two "frontrunners", the candidates with the highest total "remaining scores". |
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###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. |
###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. |
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####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). |
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##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 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. |
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###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. |
###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. |
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### 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) |
### 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) |
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## Exhaust one Droop quota of |
## Exhaust one Droop quota of remaining score. |
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### All ballots which (originally) scored the winner higher than their threshold score are fully exhausted (That is, |
### All ballots which (originally) scored the winner higher than their threshold score are fully exhausted (That is, remaining voting power becomes 0.) |
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### All ballots which score the winner at exactly their constituent score are treated equally, partially exhausted. |
### All ballots which score the winner at exactly their constituent score are treated equally, partially exhausted. |
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#### First, calculate the fraction E of each of these ballots that must be exhausted in order to exhaust one quota overall. |
#### First, calculate the fraction E of each of these ballots that must be exhausted in order to exhaust one quota of remaining score overall. |
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####Multiply the remaining voting power of each of these ballots by (1-E). |
####Multiply the remaining voting power of each of these ballots by (1-E). |
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