Weighted positional method: Difference between revisions

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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 Antiplurality are all weighted positional methods, and their vectors are:


<math>a_{Borda} = (m, m-1, ..., 0)\\
<math>a_{Borda} = (m-1, m-2, ..., 0)\\
a_{Plurality} = (1, 0, \ldots, 0)\\
a_{Plurality} = (1, 0, \ldots, 0)\\
a_{Antiplurality} = (1, 1, \ldots, 0)</math>
a_{Antiplurality} = (1, 1, \ldots, 0)</math>

Revision as of 15:28, 8 February 2020

A weighted positional method is a preferential voting method that assigns points to the candidate a voter ranks in ith place. It then sums the scores and the candidate with the greatest score wins.

These methods can be characterized by the vector. For instance, the Borda count, the First Past the Post electoral system, and Antiplurality are all weighted positional methods, and their vectors are:

Failed to parse (syntax error): {\displaystyle a_{Borda} = (m-1, m-2, ..., 0)\\ a_{Plurality} = (1, 0, \ldots, 0)\\ a_{Antiplurality} = (1, 1, \ldots, 0)}

where is the number of candidates.

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