Pairwise preference: Difference between revisions
→Margins and winning votes approaches
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=== Margins and winning votes approaches ===
Note that pairwise counting can be done either by looking at the margins expressed on a voter's ballot, or the "winning votes"-relevant information (see [[Rated pairwise preference ballot#Margins and winning votes approaches]]).
For example, a voter who scores one candidate a 5 and the other a 3 on a rated ballot can either be thought of as
* Giving those scores to both candidates in the matchup (winning votes-relevant information)
* Giving 2 points to the first candidate and 0 to the second (only the margins).
For ranked and choose-one ballots, both margins and winning votes approaches yield the same numbers, since these approaches assume a voter gives either:
* Maximal support/margin (1 vote) to their preferred candidate in the matchup, when they have one (which they can only achieve by giving maximal support to the preferred candidate and no support to the other candidate in the winning votes approach, so as to create maximal distance).
* No support (0 votes) to either candidate, when they equally prefer both candidates.
=== Transitivity requirements ===
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