> 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.

The open-source VoteFair ranking software, which runs under either Microsoft Windows or Linux, is here:

    http://github.com/cpsolver/VoteFair-ranking

For convenience it can be used in conjunction with the Vote-Info-Split-Join (VISJ) framework here:

    htts://github.com/cpsolver/Vote-Info-Split-Join-VISJ

The adjustments to ensure quota-based representation for women is done manually, after the calculations have been done.

Here/below is a description of the election method.

Tentatively the five open-list party positions are assigned to the five candidates who are ranked as most representative -- according to VoteFair _representation_ ranking.

These results are proportional. And they are very resistant to strategic voting. The details are explained at this web page:

    http://www.votefair.org/calculation_details_representation.html

If the tentative results already happen to meet the quota for women, then no adjustments are needed.

If there are no women in any of the tentatively assigned five positions, then the two women who are the most popular according to VoteFair _popularity_ ranking are moved into positions # 2 and # 4, and the men are shifted down.

When the men who tentatively won are shifted down (to make room for the two women), their order is preserved (which in the above case means the men in seats # 4 and # 5 are completely removed, and the man who was in position # 3 is moved to position # 5, and the man who was in position # 2 is moved into position # 3).

If one or two women won seats in the top five positions, but a woman did not reach position # 1 or position # 2, then the more-representative woman is shifted into position # 2 and, if necessary, the man in position # 5 is completely removed.

In other words, if any woman needs to be promoted, she first comes from the tentatively assigned most-representative positions. Otherwise she comes from the highest woman-occupied position in the popularity ranking.

As an example, if the representation ranking looks like this (where M=male and F=female) ...

1:  Jiri (M)
2:  Petr (M)
3:  Karel (M)
4:  Vaclav (M)
5:  Eva (F)

... and within the popularity ranking the most popular woman who is not listed above is ...

Tereza (F)

... then these are the final results for the party list:

1:  Jiri (M)
2:  Eva (F)
3:  Petr (M)
4:  Tereza (F)
5:  Karel (M)

Why is the second woman moved into position # 4 instead of position # 5? Because presumably half of the Green-party voters are women, and presumably you want proportional results if your party should win 4 seats. (If the quotas are met without needing any adjustments, then the second woman might end up in position # 5, and this would be fair because the results imply that quotas are no longer necessary to override other political priorities.)

(As a minor point, if in the future the gender-based quota is no longer needed because women typically end up in the top five positions, then the method for filling position # 5 can be improved by using a method from VoteFair _negotiation_ ranking. In the meantime the tentatively assigned winner of position # 5 usually will be demoted, so this future refinement would not affect the results under current circumstances.)

Of course you, and your fellow Green-party members, will have questions about this method. I'll be happy to answer them. Just ask.

Richard Fobes

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