User:Jameson Quinn/SPARTA voting: Difference between revisions
"max remaining score"
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# Voters score each candidate in the district from 0-5.
##On each ballot, initialize the "remaining score" for each candidate to equal the original score for that candidate. Later, if the ballot is partially exhausted, that remaining score may change, but the original score will not.
##To begin with, the "max remaining score" for each ballot is 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 remaining scores.
## For each of these two frontrunners, order the ballots from highest
### If there is a tie, 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
### 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 E of each of these ballots that must be exhausted in order to exhaust one Droop quota overall. Use this to calculate the new
####Any remaining scores on these ballots which are higher than the
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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