Proportional representation: Difference between revisions
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→Non-Partisan Definitions
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* Under the [[Monroe's method | Monroe interpretation]], voting is an attribution problem where every candidate has a [[Quota | quota]] of voters to be filled with specific voters. The winner set composed of candidates which maximizes the sum of score for the voters in that candidate’s quota is the most proportional. The voting method is impartial to how anybody outside of that candidate’s quota rates them.
* Under the Thiele interpretation, every voter has an honest utility of each candidate, and even if you completely resent a candidate, it is statistically impossible for your honest utility of any individual candidate to equal 0 exactly. Under this interpretation, the more an outcome maximizes the sum among all voters: ln( the sum of utilities that voter gave to each winner), the more proportional it is. Since candidates can’t choose their honest utilities, they can choose the scores they give to candidates which means that it is much more likely that a candidate will give a set of candidates all zero scores which will blow up the natural log function (see footnote), so to counter-act this, the most Thiele voting methods instead use the partial sums of the harmonic function, which are closely related to the natural log (The natural log is the integral of 1/t from t=1 to t=x and the partial sums of the harmonic series are the summation of 1/n from n=1 to n=x).
* Under the [[Vote unitarity | Unitary interpretation ]] interpretation of each voter has an fixed amount of utility to be spent on candidates. When a candidate is elected their power to elect subsequent candidates is lower directly proportionally to the amount of utility previously spend on prior candidates. This interpretation can be thought of as an additional constraint on the [[Monroe's method | Monroe interpretation]] but since the philosophy is about voters spending points on candidates rather than voters themselves being assigned to candidates it is a distinct interpretation of proportional representation. The [[Vote unitarity | Unitary interpretation ]] is in some way the inverse interpretation of the [[Phragmén's Method | Phragmén interpretation]]. In the former each '''voter''' has a conserved amount of vote weight to spend on candidates and in the latter the each '''candidate''' has a conserved amount of representation weight to distribute over the voters.
===The backstory===
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