Consistency criterion: Difference between revisions
Fixed erroneous claim
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==Complying methods==
A strict [[preferential voting]] method is "consistent if and only if it is a scoring function", i.e. a [[weighted positional method]] or a combination of these where each voter is assigned one of a number of weighted positional methods.<ref name="Young 1975 pp. 824–838">{{cite journal | last=Young | first=H. P. | title=Social Choice Scoring Functions | journal=SIAM Journal on Applied Mathematics | publisher=Society for Industrial & Applied Mathematics (SIAM) | volume=28 | issue=4 | year=1975 | issn=0036-1399 | doi=10.1137/0128067 | pages=824–838 |url=http://www.eecs.harvard.edu/cs286r/courses/fall11/papers/Young75.pdf}}</ref>
If the preferential voting method admits weak preference orders (rankings with equal-rank or truncation), it must reduce to a scoring function when no voters make use of equal-rank or truncation.
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