STV-CLE: Difference between revisions

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Revision as of 23:00, 21 December 2005 (view source) imported>DanBishop No edit summary		Latest revision as of 17:14, 18 October 2023 (view source) Kristomun (talk \| contribs) (Added local IIA information.)
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Line 1: ~~STV-CLE (~~'''[[Single Transferable Vote]] with [[Condorcet method#Related terms\|Condorcet Loser]] Elimination''' ('''STV-CLE''') is a [[preference voting\|preference]] [[voting system]] for multi-winner elections. It is like STV except that elimination of candidates is based on a [[Condorcet ranking]], rather than on the number of first-choice votes. == Voting == Line 10: #Delilah == Counting the ~~Votes~~votes == Step 1: Set a winning quota. For example, the [[Droop ~~Quota~~quota]] or the [[Hare ~~Quota~~quota]] Step 2: Compute the elimination order. Line 43: * 4: D>C>B>A Suppose the ~~Newland~~H-~~Britton~~B quota (votes/(seats+1) = 90/3 = 30) is used. The Condorcet ranking for these ballots is A>C>B>D, so the elimination order is D,B,C,A. Line 108: The winners are Andrea and Carter. == Notes == [[Category:Multi-winner voting systems]]▼ When there is no Condorcet loser, or no Condorcet ranking, it may be possible to instead use the ranking produced by any [[Smith-efficient]] [[Condorcet method]] which outputs a [[Smith set ranking]] to figure out who should be eliminated next. Using a Condorcet method that passes [[local independence of irrelevant alternatives]] provides an additional benefit: elimination doesn't change the relative order of the other candidates. That is, recomputing the Condorcet ranking every time someone is eliminated would have no effect; only after a candidate is elected and surpluses redistributed would the ranking change. STV-CLE with such a method is thus more self-consistent throughout eliminations than using one that doesn't pass [[local IIA]]. ▲[[Category:Multi-winner voting ~~systems~~methods]] [[Category:Ranked voting methods]]