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Approval cutoff: Difference between revisions
Category:Ballot types (not type)
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The '''approval cutoff''', '''approval threshold''' or '''neutral preference''' level is an option that may be used with a [[Preferential_voting|ranked ballot]]. It allows the collection of the information necessary to create an [[Approval ballot]]. Note that the concept of an approval threshold can also be used in a theoretical sense<ref>{{Cite web|url=https://www.electionscience.org/library/score-voting-threshold-strategy/|title=Score Voting Threshold Strategy|website=The Center for Election Science|language=en-US|access-date=2020-05-09}}</ref> i.e. if a voter is deciding who to vote for in [[Approval voting]], they may do so by thinking about their ranked preferences and mentally deciding who their least-preferred candidate is that they consider acceptable.
Specifying a neutral preference level indicates that candidates above a certain rank have positive preference, while candidates below that rank have negative preference. Positive preference is equivalent to an approval vote, while negative preference receives no approval vote.
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3) If a given voter is indifferent between x and y, and approves x, then she must approve y.
4) If a given voter is indifferent between x and y, and does not approve x, then she must not approve y. {{Clarify|reason=This
Note that these same restrictions can be applied to [[rated ballot]]<nowiki/>s or fractional/weighted approval thresholds i.e. a voter who prefers one candidate more than or equally to another must give the first candidate at least as high a score or degree of support as the second. The [[KP transform]] can be used to model this in terms of Approval ballots.
He are some expressions of preference-approvals and translations into natural language:
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There are 2, 8, 44, 308, ... different preference-approvals for 1, 2, 3, 4, ... candidates (Sloan's [http://www.research.att.com/~njas/sequences/A005649 A005649]).
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==Total preference order==
A [[total preference order]] is a complete [[preference-approval]]. In other words, it is a preference-approval that contains all alternatives competing in a given election.
== Notes ==
Sometimes an approval threshold is also indicated using an ">=", for example, A>B| can be written as A>=B.
The logic of the approval threshold is that if a voter approves a candidate, and they prefer some other candidate(s) over the candidate they approved, then it's very likely that voter would also approve of those more-preferred candidates if voting with an Approval ballot, since otherwise they'd be giving more support to a candidate they prefer less than the candidates they'd be disapproving.
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==Sources==
Brams, Steven J. & Fishburn, Peter C. ''Approval Voting''. Cambridge, MA: Birkhäuser, Boston, 1983.
[[Category:Ballot
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