Resolvability criterion
Electoral system property
A voting system is called decisive, resolvable, or resolute if it ensures a low probability of tied elections.
- In Nicolaus Tideman's version of the criterion, adding one extra vote (with no tied ranks) should make the winner unique.[citation needed]
- Douglas R. Woodall's version requires that the probability of a tied vote under an impartial culture model gives a tie approaches zero as the number of voters increases toward infinity.[citation needed]
A non-resolvable social choice function is often only considered to be a partial electoral method, sometimes called a voting correspondence or set-valued voting rule. Such methods frequently require tiebreakers that can substantially affect the result. However, non-resolute methods can be used as a first stage to eliminate candidates before ties are broken with some other method. Methods that have been used this way include the Copeland set, the Smith set, and the Landau set.
References
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Electoral systems
Part of the politics and Economics series
- Approval voting
- Combined approval voting
- Unified primary
- Borda count
- Bucklin voting
- Condorcet methods
- Copeland's method
- Dodgson's method
- Kemeny–Young method
- Minimax Condorcet method
- Nanson's method
- Ranked pairs
- Schulze method
- Exhaustive ballot
- First-past-the-post voting
- Instant-runoff voting
- Simple majoritarianism
- Plurality
- Positional voting system
- Score voting
- STAR voting
- Two-round system
- Graduated majority judgment
Systems | |
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Allocation | |
Quotas |
- 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
- Participation criterion
- Plurality criterion
- Resolvability criterion
- Reversal symmetry
- Smith criterion
- Seats-to-votes ratio
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