User:BetterVotingAdvocacy/Big page of ideas: Difference between revisions

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For rated pairwise, when there are 7 candidates, at least 21 lines are required on the ballot where the voters can score each matchup. When there are more than 7 candidates, it can be more practical to have the voters rank/score each candidate individually (like in Score voting) with only up to 6 [[slot]]<nowiki/>s offered, and then below that, allow the voter to indicate how they'd score the candidates in a matchup between their 1st choice and 2nd choice, 2nd choice and 3rd choice, etc. This is because with 8 candidates, at least 28 lines would be needed for each and every matchup, but with this compression trick, instead 8 lines are needed for each candidate's score/rank, and then 15 lines are offered to allow the voter to indicate their pairwise preference between candidates in each of the 6 gradations, for a total of 23 lines. From here, one line is added for each additional candidate i.e. 24 lines would be needed for 9 candidates, etc. As a bonus, voters who only fill out the ranked/scored section of the ballot and not the pairwise part can simply have their rankings/scores counted directly as their pairwise preferences (see the "Ranked or rated preference" implementation of the rated pairwise ballot). Also see <ref>https://www.reddit.com/r/EndFPTP/comments/fcexg4/score_but_for_every_pairwise_matchup/fvxnqmj/?context=3</ref>.
 
With rated pairwise, if a candidate receives a score from the voter in some matchups but not all, the highest score they got in any matchup could be considered the voter's score for them in every matchup involving that candidate where the voter indicated no preference. Alternatively, it could be the highest score the candidate gets in any matchup where the voter prefers them in the matchup more than or at least equally as the other candidate in the matchup. In other words, if there are 4 candidates and the voter votes A:5 B:4, B:1 C:0, A:5 C:0, then it could be assumed the voter would vote B:1 D:0 rather than B:4.
 
== Condorcet ==