Condorcet ranking: Difference between revisions

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The simplest way to find the generalized Smith set ranking is to find the [[Copeland's method|Copeland]] ranking, put all candidates ranked 1st by Copeland in the Smith set and thus equally rank them 1st in the generalized Smith set ranking, and then check if any of theother candidates ranked 2nd by Copeland can pairwise beat or tie any of the candidates ranked higher than them (1st) by Copeland who are in the Smith set; if any of them can, then all candidates ranked 2ndat bythe Copelandlowest arerank alsoof partany of thethem Smithbased seton andthe thusCopeland areranking alsoor equallyabove rankedis 1stalso in the generalized Smith set ranking, butand ifthe process repeats until at some point, none of them can, then theythe candidates at the next Copeland ranking after the lowest-Copeland-ranked Smith set candidate are all part of the secondary Smith set and thus equally ranked 2nd in the generalized Smith set ranking. Repeat until all candidates are equally ranked within their consecutive Smith set.
 
So for example, if 3 candidates are ranked 1st in Copeland, they are part of the Smith set, and if there are several candidates ranked lower than them by Copeland who pairwise beat or tie any of them, take the lowest ranked of them based on Copeland (suppose that candidate was ranked 5th by Copeland) and add all candidates ranked 5th or above by Copeland into the Smith set. Supposing no candidates pairwise beat or tie any of the candidates newly added into the Smith set, all candidates ranked 6th by Copeland are part of the secondary Smith set, and the process repeats to see who is part of the secondary Smith set, tertiary Smith set, etc.
 
== Notes ==