Weighted positional method: Difference between revisions
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== Generalizations == |
== Generalizations == |
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It is possible to view [[Approval voting]] and [[Score voting]] as a more general weighted positional method, where each voter has some freedom in what <math>a</math> vector to choose. For Approval, the voter's <math>a</math> vector has value 1 for every approved candidate and 0 otherwise - i.e. 1 down to the voter's approval cutoff and then 0 below - while for Score voting, the voter directly specifies <math>a</math>. |
It is possible to view [[Approval voting]] and [[Score voting]] as a more general weighted positional method, where each voter has some freedom in what <math>a</math> vector to choose. For Approval, the voter's <math>a</math> vector has value 1 for every approved candidate and 0 otherwise - i.e. 1 down to the voter's [[approval cutoff]] and then 0 below - while for Score voting, the voter directly specifies <math>a</math>. |
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As a result, [[Score voting]] fails every criterion that does not involve removing or adding candidates, and that least one weighted positional method fails. The voters could just happen to rate the candidates the same way a weighted positional method would score them, and then the failure example for that method would also apply to Score. |
As a result, [[Score voting]] fails every criterion that does not involve removing or adding candidates, and that least one weighted positional method fails. The voters could just happen to rate the candidates the same way a weighted positional method would score them, and then the failure example for that method would also apply to Score. |
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