Revision as of 10:14, 6 September 2020 (view source) Kristomun (talk \| contribs) (Cleanup: definitions and ballots) ← Older edit		Revision as of 13:25, 6 September 2020 (view source) Kristomun (talk \| contribs) mNo edit summary Newer edit →
Line 14: --> Noncompliance with the monotonicity criterion doesn't tell anything about the likelihood of monotonicity violations, failing in one of a million possible elections would be as well a violation as missing the criterion in any possible election. Of the single-winner ranked voting systems, [[Borda count\|Borda]], [[Schulze method\|Schulze]], [[~~ranked~~Ranked ~~pairs~~Pairs]], ~~maximize~~[[Maximize ~~affirmed~~Affirmed ~~majorities~~Majorities]], [[Descending Solid Coalitions]], and [[Descending Acquiescing Coalitions]]<ref name="Woodall-Monotonicity" /> are monotone, while [[Coombs' method]], [[runoff voting]], and [[instant-runoff voting]] (IRV) are not. Most variants of the [[single transferable vote]] (STV) [[proportional representation]]s are not monotonic, especially all that are currently in use for public elections (which simplify to IRV when there is only one winner).

Monotonicity: Difference between revisions

Monotonicity (view source)