Highest median voting rules
Highest median voting rules
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Highest median voting rules

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Highest median voting rules

The highest median voting rules are a class of graded voting rules where the candidate with the highest median rating is elected.

The various highest median rules differ in their treatment of ties, i.e., the method of ranking the candidates with the same median rating.

Proponents of highest median rules argue that they provide the most faithful reflection of the voters' opinion. They note that as with other cardinal voting rules, highest medians are not subject to Arrow's impossibility theorem.

However, critics note that highest median rules violate participation and the Archimedean property; highest median rules can fail to elect a candidate almost-unanimously preferred over all other candidates.

As in score voting, voters rate candidates along a common scale, e.g.:

An elector can give the same appreciation to several different candidates. A candidate not evaluated automatically receives the mention "Bad".

Then, for each candidate, we calculate what percentage of voters assigned them each grade, e.g.:

This is presented graphically in the form of a cumulative histogram whose total corresponds to 100% of the votes cast:

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