Summability criterion: Difference between revisions
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In many [[Condorcet method]]s, each ballot can be represented as a two-dimensional square array referred to as a pairwise matrix. The sum of these matrices may be reported from each precinct. |
In many [[Condorcet method]]s, each ballot can be represented as a two-dimensional square array referred to as a pairwise matrix. The sum of these matrices may be reported from each precinct. |
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[[Category:Voting system criteria]] |
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== Requirements == |
== Requirements == |
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====== Median methods ====== |
====== Median methods ====== |
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Alternatively, precincts may sum up the number of times each candidate was ranked at each of the <math>c</math> possible ranks (or grades). This ''positional matrix'' can then be used to compute the result for any weighted positional method after the fact, or for median-based methods like [[:Category:Graded Bucklin methods| |
Alternatively, precincts may sum up the number of times each candidate was ranked at each of the <math>c</math> possible ranks (or grades). This ''positional matrix'' can then be used to compute the result for any weighted positional method after the fact, or for median-based methods like [[:Category:Graded Bucklin methods|graded Bucklin methods]]. This shows a contrast between median methods and point-scoring methods, where the grade level doesn't matter, only the strength/quality/degree of the grade (i.e. in points-scoring methods, two 1/5s are equivalent to one 2/5). |
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===== Cardinal methods ===== |
===== Cardinal methods ===== |