Smith criterion: Difference between revisions
Content added Content deleted
Psephomancy (talk | contribs) (WP template) |
(Created page with "<nowiki>#</nowiki>REDIRECT [['''Generalized Condorcet criterion'''<nowiki>]]</nowiki>") |
||
Line 1: | Line 1: | ||
<nowiki>#</nowiki>REDIRECT [['''Generalized Condorcet criterion'''<nowiki>]]</nowiki> |
|||
{{Wikipedia|Smith criterion}} |
|||
The '''Generalized Condorcet criterion''' or '''Smith criterion''' for a [[voting system]] is that it picks the winner from the [[Smith set]], the smallest set of candidates such that every member of the set is preferred to every candidate not in the set. One candidate is preferred over another candidate if, in a one-on-one competition, more voters prefer the first candidate than prefer the other candidate. |
|||
Any election method that complies with the Generalized Condorcet criterion also complies with the [[Condorcet criterion]], since if there is a Condorcet winner, then that winner is the only member of the Smith set. |
|||
== Complying Methods == |
|||
Among methods that comply with the Condorcet criterion, [[Schulze method|Schulze]] and [[Ranked Pairs]] comply with the Generalized Condorcet Criterion. |
|||
Methods that do not comply with the Condorcet criterion, such as [[Approval voting]], [[Cardinal Ratings]], [[Borda count]], [[Plurality voting]], and [[Instant-Runoff Voting]], do not with the Generalized Condorcet Criterion. |
|||
[[Category:Voting system criteria]] |
|||
{{fromwikipedia}} |
Revision as of 22:45, 23 December 2019
#REDIRECT [[Generalized Condorcet criterion]]