[EM] Brian Olson's multiwinner IRNR idea seems busted
Warren Smith
warren.wds at gmail.com
Thu Nov 5 16:17:19 PST 2009
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
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