Cardinal-weighted pairwise comparison: Difference between revisions

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imported>James Green-Armytage
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imported>James Green-Armytage
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If A pairwise defeats B, the strength of the defeat is defined as follows:
If A pairwise defeats B, the strength of the defeat is defined as follows:


'''For each A>B voter, and only for A>B voters, subtract B’s rating from A’s rating, to get the rating differential. Sum the A>B rating differentials to get the A>B defeat strength.'''
'''For each voter who ranks A over B, and only for those voters, subtract B’s rating from A’s rating, to get the rating differential. Sum these rating differentials to get the defeat strength.'''


The name "cardinal pairwise" also implies that a Smith-efficient, defeat-dropping base method will be used, for example [[beatpath]], [[ranked pairs]], or [[river]].
The name "cardinal pairwise" also implies that a Smith-efficient, defeat-dropping base method will be used, for example [[beatpath]], [[ranked pairs]], or [[river]].