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Rated ballot: Difference between revisions
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A '''ratings ballot''', or '''cardinal ballot''', is a ballot in which, for each candidate, a voter is asked to "rate" the candidate on a scale, for example from 0 to 100 or from −5 to +5. Ratings are usually (though not always) restricted to integer values i.e. if the scale is from 0 to 10, it usually isn't allowed for someone to give a rating of, say, 9.35). It is sometimes proposed that voters be able to give negative ratings (indicate disapproval/opposition), as in [[Evaluative voting]].
An [[approval ballot]] can be thought of as a ratings ballot with an integer scale from 0 to 1 (inclusive).
[[Voting system]]s that use a ratings ballot include [[Score voting]], [[Instant Runoff Normalized Ratings|instant runoff normalized ratings]], and [[cardinal pairwise]].
===== Comparability of scales =====
Two rated ballots that use different scales can be converted to each other. For example, if one voter gave a candidate a 5 out of 10 and another voter gave a candidate a 3 out of 7, the 5 out of 10 can be interpreted as a 3.5 out of 7, and the 3 out of 7 as a 4.2857 out of 10. In general, all rated ballots can be thought of as approximations of (and transformable into) a scale from 0 to 1 (or 0% to 100%), with 0 being no support and 1 being full support.
Rated ballots are often shown as: <blockquote>Alicia:5 Eileen:4 Brandon:3 Charlie:3 David:3</blockquote>meaning "I give Alicia a score of 5/I give Alicia 5 points, Eileen 4, Brandon 3, etc."
Note that with rated ballots, one might mention what the scale is by putting, for example, Alicia:5/5 (meaning Alicia is a 5 out of 5).
The general idea of rating is that a voter's [[pairwise preference]]<nowiki/>s are connected i.e. if a voter indicates A is maximally better than B (by giving A the max score and B the min score), then they must indicate B is no better than C.
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