Resolvability criterion
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Resolvability criterion can refer to any
voting system criterion Electoral systems are the rules for conducting elections, a main component of which is the algorithm for determining the winner (or several winners) from the ballots cast. This article discusses methods and results of comparing different electora ...
that ensures a low possibility of tie votes. * In
Nicolaus Tideman Thorwald Nicolaus Tideman (, not ; born August 11, 1943 in Chicago, Illinois) is a Georgist economist and professor at Virginia Tech. He received his Bachelor of Arts in economics and mathematics from Reed College in 1965 and his PhD in economics ...
's version of the criterion, for every (possibly tied) winner in a result, there must exist a way for one added vote to make that winner unique. * Douglas R. Woodall's version requires that the proportion of profiles giving a tie approaches zero as the number of voters increases toward infinity. Methods that satisfy both versions include
approval voting Approval voting is an electoral system in which voters can select many candidates instead of selecting only one candidate. Description Approval voting ballots show a list of the options of candidates running. Approval voting lets each voter i ...
,
range voting Score voting or range voting is an electoral system for single-seat elections, in which voters give each candidate a score, the scores are added (or averaged), and the candidate with the highest total is elected. It has been described by various ...
,
Borda count The Borda count is a family of positional voting rules which gives each candidate, for each ballot, a number of points corresponding to the number of candidates ranked lower. In the original variant, the lowest-ranked candidate gets 0 points, the ...
,
instant-runoff voting Instant-runoff voting (IRV) is a type of Ranked voting, ranked preferential Electoral system, voting method. It uses a Majority rule, majority voting rule in single-winner elections where there are more than two candidates. It is commonly referr ...
,
minimax Condorcet In voting systems, the Minimax Condorcet method (often referred to as "the Minimax method") is one of several Condorcet methods used for tabulating votes and determining a winner when using ranked voting in a single-winner election. It is sometim ...
, plurality, Tideman's
ranked pairs Ranked pairs (sometimes abbreviated "RP") or the Tideman method is an electoral system developed in 1987 by Nicolaus Tideman that selects a single winner using votes that express preferences. The ranked-pairs procedure can also be used to create ...
, and
Schulze Schulze is a German surname, from the medieval office of Schulze, or village official. Notable people with the surname include: * Andrew Schulze (1896–1982), clergyman and civil rights activist * William August Schulze, rocket scientist recru ...
. Methods that violate both versions include
Copeland's method Copeland's method is a ranked voting method based on a scoring system of pairwise "wins", "losses", and "ties". The method has a long history: * Ramon Llull described the system in 1299, so it is sometimes referred to as "Llull's method" * Th ...
and the Slater rule.


References

{{voting systems Electoral system criteria