Participation criterion: Difference between revisions
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(Removed weak participation as it seems to be the same as ordinary participation - both this page and the one on Wikipedia refers to cast ballots. Fix some Initial Capitalization as well.) |
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{{definition|Adding one or more ballots that vote X over Y should never change the winner from X to Y.}} |
{{definition|Adding one or more ballots that vote X over Y should never change the winner from X to Y.}} |
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For multi-winner methods and methods that involve an element of chance, the definition is:<ref name="Woodall-Monotonicity"> |
For multi-winner methods and methods that involve an element of chance, the definition is:<ref name="Woodall-Monotonicity">{{cite journal| title = Monotonicity and single-seat election rules| last = Woodall| first = Douglas R.| journal = Voting matters| volume = 6| pages = 9–14| year = 1996|url=http://www.votingmatters.org.uk/ISSUE6/P4.HTM}}</ref> |
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{{definition|The addition of a further ballot should not, for any positive whole number k, reduce the probability that at least one candidate is elected out of the first k candidates listed on that ballot.}} |
{{definition|The addition of a further ballot should not, for any positive whole number k, reduce the probability that at least one candidate is elected out of the first k candidates listed on that ballot.}} |