I sent Brian what I believe is a counterexample to proportionality for both his suggested method, and a wide class of ways to try to generalize it.
I won't give the details here, since mixed in with a lot of other crud I emailed him. But quickie crude sketch is: Consider 2 winners and N candidates and all votes of form (1,1,1,...,1,0) or (0,0,0,...,0,1); pick N and the proportions of the 2 kinds of voters, to make the voting method mess up. Anyway, we'll see what Brian says if & when he responds to the flood. -- 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
