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Cardinal-weighted pairwise comparison: Difference between revisions
Cardinal-weighted pairwise comparison (view source)
Revision as of 07:12, 25 May 2005
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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 definition of defeat strength. If A pairwise defeats B, the strength of the defeat is defined as follows:
'''For each voter who ranks A over B, and only for
▲'''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]].
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