Score voting: Difference between revisions

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'''Range voting''', or '''ratings summation''', or '''average voting''', or '''cardinal ratings''' is a [[voting system]] used for single-seat elections.
'''Range voting''', or '''ratings summation''', or '''average rating''', or '''cardinal ratings''' is a [[voting system]] used for single-seat elections.
(It could also be used for multi-seat elections, but that is a poor idea
(It can also be used for multi-seat elections, but not with proportional results.)
since it would lead to massive proportionality failures, where, e.g. a 51%
Whig electorate could elect a 100% Whig slate of winners.)
It is also used on the web - for rating movies (Internet Movie Database), comments (Kuro5hin), and many other things - and something very similar to it is used
It is also used on the web - for rating movies (Internet Movie Database), comments (Kuro5hin), and many other things - and something very similar to it is used
in the Olympics to award gold medals to gymnasts.
in the Olympics to award gold medals to gymnasts.
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about those candidates.
about those candidates.


Range voting satisfies the [[monotonicity criterion]], the [[participation criterion]], the [[Consistency Criterion]], the [[summability criterion]], the [[Favorite Betrayal criterion]], [[Independence of irrelevant alternatives]], the [[Non-compulsory support criterion]] and the [[Independence of clones criterion]].
Range voting satisfies the [[monotonicity criterion]], the [[participation criterion]], the [[Consistency Criterion]], the [[summability criterion]], the [[Favorite Betrayal criterion]], [[Independence of irrelevant alternatives]], the [[Non-compulsory support criterion]] and [[Strategic nomination|independence of clones]].
Range voting is a [[Smith method]] and elects the [[Smith winner]] if one exists.


== Counting the Votes ==
== Counting the Votes ==
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is the winner.
is the winner.


(Another method of counting is to find the [[median]] score of each candidate, and elect the candidate with the highest median score - see [[Median Ratings]]. Because strategic voting will typically lead to a vast number of candidates with the same median, a rule to resolve ties is needed. Using the median is much more complicated than using the average.)
(Another method of counting is to find the [[median]] score of each candidate, and elect the candidate with the highest median score - see [[Median Ratings]]. Because strategic voting will typically lead to a vast number of candidates with the same median, a secondary measure to resolve ties is needed.)


==Example==
==Example==