Kristofer Munsterhjelm: A possible reweighting-free method could work like this:
1. Construct a social ordering based on Range ballots. Call this ordering (fixed from here on), X. 2. Count the input ballots, Plurality style 3. If a candidate is supported by more than a Droop quota: 3.1. Elect this candidate. 3.2. Eliminate the candidate from all ballots and from X. 3.3. Go to 2 unless we have the entire council. 4. If no candidate is supported by more than a Droop quota: 4.1. Eliminate the candidate which X ranks last, from all ballots and from X. 4.2. Go to 2. --WDS: Seems to me, this method fails to be proportional. Let 51% of the voters and half the candidates be Democrat and 49% of the voters and other half of the candidates Republican. X then orders D1>D2>D3>...>Dn>R1>R2>...>Rn. Every eliminated candidate is republican. Assuming the council size is <=n, we end up with 100% Democrat council, misrepresenting the 51-49 population. It's an interesting question whether there can be a proportional multiwinner voting method without needing to use "reweighting"... but this is not it. "Asset voting" works http://rangevoting.org/Asset.html but it is "unconventional." -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step) and math.temple.edu/~wds/homepage/works.html ---- Election-Methods mailing list - see http://electorama.com/em for list info
