On 02/09/2013 09:41 PM, Richard Fobes wrote:
 > 2013/2/6 Richard Fobes<[email protected]>:
 >> How many candidates would/could compete for the five (open)
 >> party-list positions?
On 2/6/2013 3:12 PM, Peter Zbornik wrote:
 > Say twenty, for instance.

To: Peter Zbornik

After considerable thinking about your request, I've come up with a
recommended election method for your situation.

The method has these advantages:

* Uses open-source software that is already available.

* Does not require any modification of the software.

* Provides proportional results for the five seats.

* Provides quota-based representation for women -- which, as I
understand it, you specified as requiring a woman in one of the top two
positions, and another woman in the next three positions.

* Is very resistant to strategic voting.

* Produces better representation compared to using STV (single
transferable vote).

The method consists of running VoteFair _representation_ ranking
calculations. Five levels of representation would be requested. As a
part of that calculation, VoteFair _popularity_ ranking results are also
calculated for all twenty or thirty candidates.

Although what I'm going to say may be a bit offtopic, I think I should say it. I think it could be useful to quantify exactly what is meant by quoted-in proportionality in the sense that the Czech Green Party desires it. Then one may make a "quota proportionality criterion" and design methods from the ground up that pass it.

It's very easy to otherwise come up with something that sounds nice (hey, I did it myself) but that doesn't pass the idea of quota proportionality as envisioned.

(Also, speaking of criteria: if I had enough time, I would try to find a monotone variant of Schulze STV. I think one can make monotone Droop-proportional multiwinner methods, since I made a Bucklin hack that seemed to be both monotone and Droop-proportional. However, I have no mathematical proof that the method obeys both criteria.)

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