Pairwise preference: Difference between revisions
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Pairwise preferences can be used to understand [[Weighted positional method]]<nowiki/>s and their generalizations (such as [[Choose-one voting]], [[Approval voting]], and [[Score voting]]), and [[:Category:Pairwise counting-based voting methods|Category:Pairwise counting-based voting methods]]. In the first 3 methods, a voter is interpreted as giving a degree of support to each candidate in a matchup. Even [[IRV]] can be understood in this way to some extent when observing its compliance with the [[dominant mutual third]] property.
The interpretation of pairwise ties can conceptually link different concepts together sometimes. For example, the [[Smith set]] and [[Schwartz set]] are identical except that, essentially, the Smith set treats a tie as counting against both tied candidates (i.e. it's as bad as a defeat), while the Schwartz set treats a tie as having no relevance to the quality of either of the tied candidates.
It may help to interpret pairwise data by putting the % of the votes a candidate got in the pairwise matchup. So, for example:
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