Hi Kristofer, I am very interested in PR multiwinner methods, especially those that use ER-Bucklin.
However, I have a hard time following your logic. Would it be possible to work out a relatively simple example using a 3 winner election, a Droop-like quota of 25% (just to make things easy), and two factions, one with 3 candidates and 55% of the vote (thus winning two seats), and another with two candidates and 45% of the vote (thus winning one seat)? Alternatively, you could use Warren Smith's 'real world' example with 9 seats and an 'Easy' Droop-like quota of 4 votes (10% of 39 votes = 3.9, plus 10% of one vote), to compare to other methods that can work with range ballots. http://rangevoting.org/June2011RealWorldRRVvotes.txt My implementation of Bucklin Transferable Vote finds the following winners for that example: {106,102,109,101,103,108,105,110,116} Ted On 10 Feb 2012 14:05:36 -0800, Kristofer Munsterhjelm wrote: > > On 02/10/2012 11:02 PM, Kristofer Munsterhjelm wrote: >> We can add a candidate C_k to PC if there exists a subset (coalition) >> that supports at least k+1 candidates, where k is the cardinality of the >> intersection of PC and that coalition, and that coalition also contains >> C_k. > > Oops, seems I reused a letter there. This should be: > > "We can add a candidate C_i to PC if there exists a subset (coalition) > that supports at least k+1 candidates, where k is the cardinality of > the intersection of PC and that coalition, and that coalition also > contains C_i." > > I.e. the k in C_k had nothing to do with the cardinality of the > intersection. > > ---- > Election-Methods mailing list - see http://electorama.com/em for list info > -- araucaria dot araucana at gmail dot com ---- Election-Methods mailing list - see http://electorama.com/em for list info
