Consistency criterion: Difference between revisions

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>, i.e. aEvery [[weighted positional methodsymmetry|symmetric]] orconsistent amethod combinationis ofthus these where one or morea weighted positional methods are used in sequence to break the ties of another. 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.