User:Jameson Quinn/SPARTA voting: Difference between revisions

← Older edit

User:Jameson Quinn/SPARTA voting (view source)

Revision as of 21:09, 12 November 2020

815 bytes added , 3 years ago

cats

VisualWikitext

Jameson Quinn

Autopatrolled users, Bureaucrats, Confirmed users

53

edits

Revision as of 15:29, 30 October 2020 (view source) Jameson Quinn (talk \| contribs) (Initial version of SPARTA voting) Tag: Visual edit		Latest revision as of 21:09, 12 November 2020 (view source) Jameson Quinn (talk \| contribs) (cats)
(14 intermediate revisions by 2 users not shown)
Line 2: # Voters score each candidate in the district from 0-5. # In step 3, we will be choosing winners and "using up" the voting power of the ballots which most helped them win. In order to do so, we begin by setting the "remaining voting power" (RVP) of each ballot to 1. # Until all seats are filled, repeat the following steps: ## ~~Using the current ballots and their weights, find~~Find the two "frontrunners", the candidates with the highest ~~overall~~total ~~average~~"remaining 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. ###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. ### 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)▼ ####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). ## Exhaust one Droop quota of ballots.▼ ##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. ### All ballots which score the winner higher than their constituent score are fully exhausted.▼ ###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 ~~the average~~total ~~overall~~remaining score. (Possible alternative tiebreakers: ~~average~~total score over the top Droop quota of ballots; or, ~~average~~total over top two Droop quotas of ballots) ▲## Exhaust one Droop quota of ~~ballots~~remaining score. ▲### All ballots which ~~score~~(originally) scored the winner higher than their ~~constituent~~threshold score are fully exhausted (That is, 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 FE of each of these ballots that must be exhausted in order to exhaust one ~~Droop~~ quota ~~overall.~~of ~~Each~~remaining ~~ballot's~~score ~~weight is multiplied by (1-F)~~overall. ####Multiply the remaining voting power of each of these ballots by (1-E). #### (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. [[Category:Multi-winner voting methods]] [[Category:Proportional voting methods]]