Weighted positional method: Difference between revisions
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Combine the two votedesc.pdf references, and lowercase "Methods"
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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.
==Some
* Nauru island adopted a positional method with harmonic weights where the k<sup>th</sup>-ranked candidate gets a score of 1/k. It can be represented by the <math>a</math> vector: <math>a_\mathrm{Nauru} = (1, 1/2, ..., 1/k, ..., 1/m)</math>. This is also sometimes called the Dowdall method.{{r|
* [[Borda Count]]
* As shown above, many systems can be represented as weighted positional methods including Plurality, Antiplurality, [[Vote For and Against]], and Dabagh's "vote and a half" method where a voter assigns 1 point to their favorite and half a point to their second favorite.{{r|
* The Eurovision Song Contest uses a method where each country's panel of judges rates the top 10 songs. The first pick gets 12 points, the second 10, the third 8, and the rest get <math>m - i</math> (i.e. 7, 6, ..., 1) with all the rest of the songs getting 0. This can be represented by the vector <math>a_\mathrm{Eurovision} = (12, 10, 8, 7, ..., max(m - i, 0), ..., 0)</math>
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==References==
{{reflist|refs=
<ref name=rdrr_votesys_dowdall_method>{{cite web |url=https://rdrr.io/cran/votesys/man/dowdall_method.html |title=dowdall_method: Dowdall Method|access-date=2022-01-29 }}</ref>
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