[EM] Proportional Representation from Ratings Ballots
Kristofer Munsterhjelm
km-elmet at broadpark.no
Thu Nov 5 10:38:43 PST 2009
Warren Smith wrote:
> On 11/5/09, Warren Smith <warren.wds at gmail.com> wrote:
> --Olson's method fails.
> Suppose voter #1 votes (1,0,0,0,...0) "plurality style".
> If canddt#1 is eliminated, the ballot then becomes unnormalizable.
> I assume Olson deals with that by throwing it in the garbage.
>
> More seriously:
> If canddt#1 instead is declared a winner with over-quota, then Olson
> reweights canddt#1
> and renormalizes ballot #1 so its sum-of=squares is still 1.
>
> However, it is impossible to do both if ALL ballots happen to be
> plurality-style,
> the reweighting and renormalization conflict and the conflict is
> irreconciliable.
How does IRV work in this situation? I'd guess that IRNR would work the
same way. Unless I'm mistaken, the ballots would be considered exhausted
and thus "removed from play", as it were.
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