Weighted positional method: Difference between revisions

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A '''weighted positional method''' is a [[preferential voting]] method that assigns <math>a_i</math> points to the candidate a voter ranks in ''i''th place. It then sums the scores and the candidate with the greatest score wins.
A '''weighted positional method''' is a [[preferential voting]] method that assigns <math>a_i</math> points to the candidate a voter ranks in ''i''th place. It then sums the scores and the candidate with the greatest score wins.


These methods can be characterized by the <math>a</math> vector. For instance, the [[Borda count]], the [[First Past the Post electoral system]], and Antiplurality are all weighted positional methods, and their vectors are:
These methods can be characterized by the <math>a</math> vector. For instance, the [[Borda count]], the [[First Past the Post electoral system]], and [[Anti-plurality voting|Antiplurality]] are all weighted positional methods, and their vectors are:


* <math>a_\mathrm{Borda} = (m-1, m-2, \dots, 0)</math>
* <math>a_\mathrm{Borda} = (m-1, m-2, \dots, 0)</math>