[EM] Brian Olson's multiwinner IRNR idea seems busted

[Raph Frank]

On Fri, Nov 6, 2009 at 7:30 AM, Kristofer Munsterhjelm
<km-elmet at broadpark.no> wrote:
> The multiwinner analog of Majority, for other methods, would be something
> like "assume the population are divided into N camps, each of which vote in
> a particular order - then the method should reproduce the camps' proportions
> in the assembly, as far as such is possible".

Under Range/scorevoting, if a majority rate a candidate at max and all
others at 0, then that candidate wins.

> So what is it that we "want" to see in a
> "proportional" Range method?

A reasonable rule is that if a group of voters representing N Droop
quotas rate a group of candidates at max and all the rest at min, then
at least N of those candidates should be elected (or all of them if
there are less than N of them).

This is the ratings equivalent of the Droop criterion.