Talk:Smith criterion: Difference between revisions

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RobLa moved page Talk:Generalized Condorcet criterion to Talk:Smith criterion: This page is called "Smith criterion" on English Wikipedia (see w:Smith criterion
(Created page with "Do all Smith-efficient methods produce Smith set rankings of the candidates for their orders of finish? ~~~~")
 
m (RobLa moved page Talk:Generalized Condorcet criterion to Talk:Smith criterion: This page is called "Smith criterion" on English Wikipedia (see w:Smith criterion)
 
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== Smith set ranking ==
Do all Smith-efficient methods produce Smith set rankings of the candidates for their orders of finish? [[User:BetterVotingAdvocacy|BetterVotingAdvocacy]] ([[User talk:BetterVotingAdvocacy|talk]]) 16:35, 22 February 2020 (UTC)
 
: That's really two questions. The first is "is it possible to create a Smith-efficient method that doesn't rank them in this way?", and the second is "do all publicly known/nonpathological methods rank them in this way?". The answer to the first is yes (e.g. Smith//IRV and then rank the rest of the candidates randomly below the candidates in the Smith set). The former is, I think, "most but not all". The intuitive reason is that if you make a method that embodies Smith-compatible logic, then the path of least resistance for most such simple types of logic is to extend to a full Smith ranking. Schulze is like this, for instance. But composed methods (Smith,Minmax) and methods that glue together sufficiently different logic (BTR-STV, Benham) are not necessarily so. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 19:39, 22 February 2020 (UTC)
 
: In general, for questions like "does X imply Y?", a good first strategy is to try to be a maximally malicious genie and try to find an example where X does not imply Y. You only need one counterexample to show that X doesn't imply Y. Proving that something is the case is often much harder than proving that it isn't. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 20:02, 22 February 2020 (UTC)
 
== Smith efficient ==
 
Is "Smith efficient" the term of art that y'all use when you're talking about methods in academic settings? It seems like we should at least have a [[Smith efficient]] redirect point to this article, since that seems like an efficient way of referring to this criterion (so to speak). -- [[User:RobLa|RobLa]] ([[User talk:RobLa|talk]]) 17:37, 22 May 2020 (UTC)
 
: It seems to be a somewhat frequent term on EM. See, for instance, this post: [http://lists.electorama.com/pipermail/election-methods-electorama.com//2005-March/080430.html] [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 18:42, 22 May 2020 (UTC)
 
:: Already done at [[Smith-efficient]]. [[User:BetterVotingAdvocacy|BetterVotingAdvocacy]] ([[User talk:BetterVotingAdvocacy|talk]]) 21:50, 22 May 2020 (UTC)