Difference between revisions of "Score voting"

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m (Psephomancy moved page Range voting to Score voting over redirect: More modern name. "Score" is integers 0-5 or 0-10, "Range" is real numbers 0-1)
'''RangeScore voting''', oralso known as '''range voting''', '''ratings summation''', or '''average rating''', or '''cardinal ratings''' is a [[voting system]] used for single-seat elections.
{{merge from|Range Voting}}
'''Range voting''', or '''ratings summation''', or '''average rating''', or '''cardinal ratings''' is a [[voting system]] used for single-seat elections.
(It can also be used for multi-seat elections, but not with proportional results.)
ItThis is alsothe usedfamiliar on"Points theSystem", web -used 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.
"Score voting" typically refers to real-world systems in which the voter may give to each candidate any number of points within some specified range, such as 0-5 or 0-10. "Range voting" is the more theoretical mathematical model of Score, in which voters express a real number from 0 to 1.<ref name=":1">{{Cite web|url=https://epub.ub.uni-muenchen.de/653/|title=The Case for Utilitarian Voting|last=Hillinger|first=Claude|date=2005-05-01|website=Open Access LMU|location=Munich|language=en|archive-url=|archive-date=|dead-url=|access-date=2018-05-15|quote=Specific UV rules that have been proposed are approval voting, allowing the scores 0, 1; range voting, allowing all numbers in an interval as scores; evaluative voting, allowing the scores -1, 0, 1.}}</ref><ref name=":2">{{Cite web|url=https://voteupapp.com/blog/expressive-voting|title=Should you be using a more expressive voting system?|last=|first=|date=|website=VoteUp app|archive-url=|archive-date=|dead-url=|access-date=2018-05-15|quote=Score Voting -- it’s just like range voting except the scores are discrete instead of spanning a continuous range.}}</ref><ref>{{Cite web|url=http://rangevoting.org/PreEmProp.html|title=Good criteria support range voting|last=|first=|date=|website=RangeVoting.org|archive-url=|archive-date=|dead-url=|access-date=2018-05-15|quote=Definition 1: For us "Range voting" shall mean the following voting method. Each voter provides as her vote, a set of real number scores, each in [0,1], one for each candidate. The candidate with greatest score-sum, is elected.}}</ref><ref>{{Cite web|url=http://scorevoting.net/WarrenSmithPages/homepage/rangevote.pdf|title=Range Voting|last=Smith|first=Warren D.|date=December 2000|website=|archive-url=|archive-date=|dead-url=|access-date=|quote=The “range voting” system is as follows. In a c-candidate election, you select a vector of c real numbers, each of absolute value ≤1, as your vote. E.g. you could vote (+1, −1, +.3, −.9, +1) in a 5-candidate election. The vote-vectors are summed to get a c-vector x and the winner is the i such that xᵢ is maximum.}}</ref>
[[Approval voting]] is equivalent to Score voting with only 0 or 1 (approve or abstain) as scores.
== Voting ==
Range voting in which only two different votes may be submitted (0 and 1, for example) is equivalent to [[approval voting]].
In range (or approval) voting <i>with blanks</i>,
the voter is allowed to leave some scores blank to denote <i>ignorance</i>
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]], Mono-Add-Top, Pareto, Plurality Criterion, and [[Strategic nomination|independence of clones]].
Range voting does not comply with the [[Condorcet criterion]] because it allows for the difference between 'rankings' to matter. E.g. 51 people might rate A at 100, and B at 90, while 49 people rate A at 0, and B at 100. Condorcet would consider this 51 people voting A>B, and 49 voting B>A, and A would win. Range voting would see this as A having support of 5100/100 = 51%, and B support of (51*90+49*100)/100 = 94.9%;. range Score voting advocates would probably say that in this case, the Condorcet winner is not the socially ideal winner.
== Counting the Votes ==
Supporters of range voting include [[Warren Smith]], [[Clay Shentrup]], [[Jan Kok]], and [[Steve Gruber]].
== References ==
<references />{{fromwikipedia}}
[[Category:Single-winner voting methods]]
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