I wouldn't be as strict as saying that Droop proportionality is an absolute requirement. I'd be happy to classify all methods that approximate the principle of x% of votes means x% of seats as "acceptable PR".

Note that even if some method strictly follows e.g. Droop proportionality there may be other factors that distort the picture. It is for example typical that the size of electoral districts causes bigger deviation from proportionality than the method that is used within each district. In the extreme case single member districts may give disproportional power to few (e.g. two) parties (even if the actual method would be proportional (like plurality in a way is for single member districts :-)). Also e.g. 10 districts of 10 seats each typically means considerable bias in proportionality in favour of the large parties.

If the votes (and proportionality) are counted at national level that fixes the (district fragmentation related) problem. STV is at its best in small districts with small number of candidates and seats, so it typically leaves some space to distortion in proportionality as caused by the district structure. List based methods have also similar problems but in them it is easier to have the whole country as one district (=> better proportionality but weaker local representation (and as a result weaker "regional proportionality")), or they can be easily extended to count the "political proportionality" at national level but still allocate the seats in the districts (and thereby maintain also "regional proportionality" and more local representation).

My point thus is that proportionality should be observed at the "national level", taking into account also factors like districts and number of available candidates and parties, cutoffs, restrictions in nomination etc.

Juho



On Nov 1, 2009, at 9:03 PM, Jonathan Lundell wrote:

On Oct 31, 2009, at 7:29 AM, Kathy Dopp wrote:

3. STV does *not* achieve proportional representation at all unless
there is no vote splitting and just the right number of candidates run
who support each group's interests. I.e. the success of methods like
STV to achieve proportional representation rest in the unlikely
assumption that just the right proportion of candidates run (or more
precisely an equal proportion of candidates run) in proportion to the
number of voters in each separate group.  This is just simple
mathematical fact.

STV satisfies the Droop Proportionality Criterion. Any competing proposal for a proportional system must accomplish at least that, it seems to me, to be taken seriously.---- Election-Methods mailing list - see http://electorama.com/em for list info

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