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Resolvability criterion

From Wikipedia, the free encyclopedia

A voting system is called decisive, resolvable, or resolute if it ensures a low probability of tied elections. There are two different criterion that formalize this.[1]

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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  1. ^ Schulze, Markus (2011). "A new monotonic, clone-independent, reversal symmetric, and condorcet-consistent single-winner election method". Social Choice and Welfare. 36 (2): 267–303. doi:10.1007/s00355-010-0475-4. ISSN 0176-1714. JSTOR 41108129.