User:BetterVotingAdvocacy/Negative vote-counting approach for pairwise counting: Difference between revisions
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[[File:Adding ballot matrices in negative pairwise counting approach.png|thumb|1088x1088px|Note in "Step 1: Combination" that the two ballots' negative pairwise matrices are added up.[[File:Pairwise counting negative counting with ranked ballot GIF.gif|thumb|454x454px|GIF for negative counting. Click on the image and then the thumbnail of the image to see the animation.]]]]
The negative counting approach is an alternative method of doing [[pairwise counting]]. It is faster (i.e. requires less marks and tallying), depending on implementation, when voters rank multiple candidates last. Rather than counting a voter's preference for a candidate they ranked (i.e. over lower-ranked candidates), it counts that voter's '''lack''' of preference for that candidate (i.e. over the candidate themselves and higher-ranked candidates). In other words, negative pairwise counting a) treats a voter as having "approved" all of the candidates they ranked above last-place, b) counts the voter's pairwise preferences only among the candidates they
An example of negative pairwise counting: if 5 voters ranked a candidate (A), and 3 of them didn't rank A above some other candidate (B), then 2 voters must have ranked A above or equal to B. When a voter only ranks candidates as their 1st choice(s) or last choices (i.e. uses equal-ranking with only two ranks), then negative pairwise counting becomes essentially equivalent to [[Approval voting]]'s vote-counting procedure for that voter's ballot.
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