Resolvability criterion

Resolvability criterion can refer to any voting system criterion that ensures a low possibility of tie votes.

In Nicolaus Tideman'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, range voting, Borda count, instant-runoff voting, minimax Condorcet, plurality, Tideman's ranked pairs,^[1] and Schulze.^[2]

Methods that violate both versions include Copeland's method and the Slater rule.^{[citation needed]}

References

^ "Proof MAM is resolvable and reasonably deterministic". alumnus.caltech.edu. Retrieved 2018-07-21.
^ Schulze, Markus (3 March 2017). "A New Monotonic, Clone-Independent, Reversal Symmetric, and Condorcet-Consistent Single-Winner Election Method" (PDF).

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Single-winner	Approval voting Combined approval voting Unified primary Borda count Bucklin voting Contingent vote Supplementary vote Condorcet methods Copeland's method Dodgson's method Kemeny–Young method Minimax Condorcet Nanson's method Ranked pairs Schulze method Exhaustive ballot First-past-the-post voting Instant-runoff (ranked choice) voting Coombs' method Majority judgment Simple majoritarianism Plurality Positional voting system Score voting STAR voting Two-round system Usual judgment
Proportional	CPO-STV Dual member Hare-Clark Highest averages method Webster/Sainte-Laguë D'Hondt Largest remainder method Mixed-member (Additional member) Mixed single vote Party-list Proportional approval voting Sequential proportional approval voting Schulze STV Single transferable vote Spare vote Indirect single transferable voting
Semi-proportional	Parallel voting Single non-transferable vote Cumulative voting Limited voting Satisfaction approval voting Additional member system Mixed single vote Alternative vote plus Dual-member Rural-urban
Criteria	Condorcet winner criterion Condorcet loser criterion Consistency criterion Independence of clones Independence of irrelevant alternatives Independence of Smith-dominated alternatives Later-no-harm criterion Majority criterion Majority loser criterion Monotonicity criterion Mutual majority criterion Pareto efficiency Participation criterion Plurality criterion Resolvability criterion Reversal symmetry Smith criterion
Quotas	Droop quota Hagenbach-Bischoff quota Hare quota Imperiali quota
Other	Ballot Election threshold First-preference votes Liquid democracy Spoilt vote Sortition Unseating
Comparison	Comparison of voting systems Voting systems by country
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This page was last edited on 4 September 2021, at 11:13

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References