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Preferential voting or preference voting (PV) may refer to different election systems or groups of election systems: Any electoral system that allows a voter to indicate multiple preferences where preferences marked are weighted or used as contingency votes (any system other than plurality or anti-plurality )
Methods like anti-plurality voting and Coombs' method have the opposite effect, being dominated by a voter's bottom rankings and so tending to elect the "least offensive" candidates. First-preference votes are used by psephologists and the print and broadcast media to broadly describe the state of the parties at elections and the swing between ...
Imagine there is an election between four candidates: A, B, C and D. The first matrix below records the preferences expressed on a single ballot paper, in which the voter's preferences are B > C > A > D; that is, the voter ranked B first, C second, A third, and D fourth. In the matrix a '1' indicates that the runner is preferred over the ...
The counting restarts and moves the second-preference votes to first-preference. This process repeats until a candidate wins a majority. Proponents of ranked-choice voting credit the system with ...
Plurality voting is the most common voting system, and has been in widespread use since the earliest democracies.As plurality voting has exhibited weaknesses from its start, especially as soon as a third party joins the race, some individuals turned to transferable votes (facilitated by contingent ranked ballots) to reduce the incidence of wasted votes and unrepresentative election results.
The input is the same as for other ranked voting systems: each voter must furnish an ordered preference list on candidates where ties are allowed (a strict weak order). This can be done by providing each voter with a list of candidates on which to write a "1" against the most preferred candidate, a "2" against the second preference, and so forth.
A social choice function, sometimes called a voting system in the context of politics, is a rule that takes an individual's complete and transitive preferences over a set of outcomes and returns a single chosen outcome (or a set of tied outcomes). We can think of this subset as the winners of an election, and compare different social choice ...
Ranked-voting systems typically use a ballot paper in which the voter is required to write numbers 1, 2, 3, etc. opposite the name of the candidate who is their first, second, third, etc. preference. In OPV and semi-optional systems, candidates not explicitly ranked by the voter are implicitly ranked lower than all numbered candidates.