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Plurality criterion is a voting system criterion devised by Douglas R. Woodall for ranked voting methods with incomplete ballots. It is stated as follows: If the number of ballots ranking A as the first preference is greater than the number of ballots on which another candidate B is given any preference, then A's probability of winning must be no less than B's. This criterion is trivially satisfied by rank ballot methods which require voters to strictly rank all the candidates (and so do not allow truncation). The Borda count is usually defined in this way.

Attributes	Values
rdf:type	yago:WikicatVotingSystemCriteria yago:Abstraction100002137 yago:Measure100033615 yago:Standard107260623 yago:SystemOfMeasurement113577171
rdfs:label	Plurality criterion (en)
rdfs:comment	Plurality criterion is a voting system criterion devised by Douglas R. Woodall for ranked voting methods with incomplete ballots. It is stated as follows: If the number of ballots ranking A as the first preference is greater than the number of ballots on which another candidate B is given any preference, then A's probability of winning must be no less than B's. This criterion is trivially satisfied by rank ballot methods which require voters to strictly rank all the candidates (and so do not allow truncation). The Borda count is usually defined in this way. (en)
dct:subject	Electoral system criteria
Wikipage page ID	2416790 (xsd:integer)
Wikipage revision ID	1088345371 (xsd:integer)
Link from a Wikipage to another Wikipage	Electoral system criteria Approval voting Douglas Woodall Instant-runoff voting Schulze method Voting matters Condorcet method Plurality voting Minimax Condorcet Douglas R. Woodall Borda count Bucklin voting Ranked voting systems Ranked Pairs Voting system criterion
Link from a Wikipage to an external page	http://www.votingmatters.org.uk/ISSUE3/P5.HTM http://www.votingmatters.org.uk/ISSUE6/P4.HTM
sameAs	Plurality criterion Plurality criterion Plurality criterion Plurality criterion
dbp:wikiPageUsesTemplate	dbt:Short_description dbt:Voting_systems
has abstract	Plurality criterion is a voting system criterion devised by Douglas R. Woodall for ranked voting methods with incomplete ballots. It is stated as follows: If the number of ballots ranking A as the first preference is greater than the number of ballots on which another candidate B is given any preference, then A's probability of winning must be no less than B's. This criterion is trivially satisfied by rank ballot methods which require voters to strictly rank all the candidates (and so do not allow truncation). The Borda count is usually defined in this way. Woodall has called the Plurality criterion "a rather weak property that surely must hold in any real election" opining that "every reasonable electoral system seems to satisfy it." Most proposed methods do satisfy it, including Plurality voting, IRV, Bucklin voting, and approval voting. Among Condorcet methods which permit truncation, whether the Plurality criterion is satisfied depends often on the measure of defeat strength. When winning votes is used as the measure of defeat strength in methods such as the Schulze method, Ranked Pairs, or Minimax, Plurality is satisfied. Plurality is failed when margins is used. Minimax using pairwise opposition also fails Plurality. When truncation is permitted under Borda count, Plurality is satisfied when no points are scored to truncated candidates, and ranked candidates receive no fewer votes than if the truncated candidates had been ranked. If truncated candidates are instead scored the average number of points that would have been awarded to those candidates had they been strictly ranked, or if Nauru's modified Borda count is used, the Plurality criterion is failed. (en)
gold:hypernym	Criterion
prov:wasDerivedFrom	wikipedia-en:Plurality_criterion?oldid=1088345371&ns=0
page length (characters) of wiki page	2373 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Plurality_criterion
is Link from a Wikipage to another Wikipage of	Minimax Condorcet method Schulze method Condorcet method Cumulative voting Usual judgment Voting criteria
is foaf:primaryTopic of	wikipedia-en:Plurality_criterion

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