Cardinal-weighted pairwise comparison: Difference between revisions
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CWP uses the ''ordinal'' information to determine the ''direction'' of pairwise defeats, exactly as most Condorcet methods do. However, it uses the ''cardinal'' information to determine the ''strength'' of the pairwise defeats.
Thus, in essence, CWP can be thought of as a [[defeat strength]] definition. If A pairwise defeats B, CWP finds the strength of the defeat as follows:
'''For each voter who ranks A over B, and only for these voters, subtract B's rating from A's rating, to get the rating differential. Sum these rating differentials to get the defeat strength.'''
This is akin to a cardinal version of [[winning votes]], since only the preferences of voters who prefer the winner of the matchup are counted.
The name "cardinal pairwise" also implies that a Smith-efficient, defeat-dropping base method will be used, for example [[Schulze method|Schulze]], [[ranked pairs]], or [[river]].▼
▲The name "cardinal pairwise" also implies that a [[Smith-efficient]], [[:Category:Defeat-dropping Condorcet methods|defeat-dropping]] base method will be used, for example [[Schulze method|Schulze]], [[ranked pairs]], or [[river]].
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9 B:10 A:0
A [[Pairwise beat]]<nowiki/>s B 10 voters to 9, and has a rating differential of 80 points (equivalent to 8 votes on a scale of 0 to 10) against B.
==External resources==
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