On 07/07/2013 10:27 PM, Juho Laatu wrote:
On 7.7.2013, at 16.16, Vidar Wahlberg wrote:

Alternatively, instead of running Sainte-Laguë in each county, you
could run SL on the national result (distributing all 169 seats),
something which would produce a representation percentage very
close to the actual result, and then distribute the seats to the
parties in the different counties (keeping the same amount of seats
in each county).

I think this makes sense if you do not like the leveling seat style
of building proportionality at national level. The last seats will be
distributed pretty much in the same way anyway, but in this approach
all seats are in principle seen as "equal". The algorithm may either
aim at some ideal allocation, or be a practical algorithm that just
finds a good enough result.

There's a balance between national proportionality and local proportionality. So if we're trying to get national proportionality while respecting local proportionality, it would make sense to alter the local distribution as little as possible while still getting a nationally accurate result. That's what biproportional apportionment/representation does.

My other suggestion was to have regional MPs, i.e. hierarchical MMP. But this raises the question of where the regional MPs should reside. I suppose national MMP systems have to deal with that issue as well: how do they do it? Where do top-up seats MPs in say, New Zealand, reside?

There's also a combination of these two, which I think Schulze suggested. If I remember correctly, it's basically MMP with overhang handled by deweighting party votes, thus fixing the decoy list problem in ordinary candidate + party list MMP.

If we want full proportinality, then proportionality should thus be
counted at national level. Another reason why national level votes
should be used to count the number of seats for each party is that
one should guarantee that it makes sense to vote for the small paries
also in the smallest counties. If there is no such prcedure or
leveling seats or some other national level leveling algorithms in
place, it would not make sense to vote for small parties in the small
counties. this would reduce the support of the smallest parties
already before the votes are counted.

This kind of balancing mechanisms will lead to electing a
representative of the small party at least in some county, or maybe
in this voter's own county, even if the number of votes would not be
sufficient to win any of the seats, if seats would be allocated
independently in each county.

I'd also like to note that if one were to use a method that tends towards Condorcet when there are few seats, e.g. my "CPO-SL" (Sainte-Laguë) method I described in "A more Condorcet-like party list PR method", then the local seats will be even less proportional as a whole. This is related to that SNTV can work in multi-member elections, but "pick the top N ranked candidates according to a Condorcet method's social ordering" would not.

So if one wants to moderate the local councils with a method that tends towards Condorcet when there are few seats, then it becomes more important still to have a compensating mechanism to bring the local results more in line with the national result. Otherwise, the centrists would enjoy a great advantage at the cost of national level proportionality.

And yes, when one adjusts local outcomes to get greater national proportionality, that means that someone who "shouldn't" have won on the local level nevertheless does win. Hopefully the difference won't be as great as to make the voters complain! Perhaps this is part of the point of leveling seats: they start off not being owned by anyone, so giving them out to party members may not seem as much a way of overruling the local result as if one started with all seats filled and *then* adjusted.

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