Cardinal-weighted pairwise comparison: Difference between revisions
Content added Content deleted
No edit summary |
No edit summary |
||
Line 9: | Line 9: | ||
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. |
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: |
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.''' |
'''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. |
|||
⚫ | |||
⚫ | |||
Line 33: | Line 36: | ||
9 B:10 A:0 |
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. |
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== |
==External resources== |