[EM] Droop proportionality criterion for multiwinner Approval
Kristofer Munsterhjelm
kmelmet at broadpark.no
Sat Mar 27 02:45:56 PDT 2010
How's this for an Approval version of the DPC?
If for a given subset S of the candidates, at least p Droop quotas
approve of S and there is no greater set that contains S that also is
approved by at least p Droop quotas, then if this subset has cardinality
f, at least min(p, f) of these candidates should be in the outcome.

The greater set provision is required because otherwise, if everybody
approved of every candidate, there would be no solution unless the
council size was equal to the number of candidates  since every
singlecandidate set would be approved by the entire electorate and thus
deserve to be included.
It would not be a very constraining criterion, I think, and something
similar might be done to make an Approval version of my monotone divisor
method.
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