David L Wetzell wrote:


On Fri, Nov 18, 2011 at 7:14 AM, Kristofer Munsterhjelm <km_el...@lavabit.com <mailto:km_el...@lavabit.com>> wrote:

    Loring argues that Plurality councils can swing wildly and deny
    representation to people who should be represented, while PR
    councils can still be off-center due to kingmaker scenarios, and
    that one should therefore pick a center that can break ties while
    not giving any voting bloc undue power.


My approach replaces STV with LR Hare, I guess I don't really care whether rankings get used or not, but I do like having fewer seats with PR with a Hare Quota, so we can avoid those arbitrary percentage restrictions. It lets third parties decide who's the party-in-power but helps the party-in-power get more seats so they can get things done if they are generally popular, or able to win many of the single-winner elections.

Personally, I think Sainte-Lague is a more proportional approach than LR-Hare. In being a divisor method, it can avoid the population-pair monotonicity problem, and by measures of proportionality, it is usually about as good as LR-Hare.

Unfortunately, there's no Sainte-Lague (or divisor method) version of STV yet. The closest I know of is my "Set Webster" method, which combines a divisor method and the concept of solid coalitions. It is (most likely) monotone, but not so much better than STV that it's worth it to switch unless you value monotonicity above all else or are interested in new methods in and of themselves.

If you want party list, though, use Sainte-Lague (or Webster, same thing). For the same reason, I think that congressional apportionment would be better done by Webster's method (as it were, once), than with the current Huntington-Hill algorithm.

   He then proposes to use STV, but shield the CW from losing. The
   Condorcet winner represents the center or common consensus position,
   while the other winners represent the diversity of opinion among the
   people. Because the process is done inside a single method, in the
   case the CW is off-center, the proportional representation aspect of
   the algorithm will even this out by compensating.


The link you gave me though tends to weigh stronger for the 2nd version, which is easier to explain to voters by virtue of how it combines two already existing elections...

I suppose the first version is more like MMP and the second version is more like parallel voting. That is, the first compensates and the second just runs in parallel.

You might be able to get something more easily understood yet retaining some of the compensation part of the first version, by doing something like this: first elect the single winner/s. Then start STV with the single winner/s marked as elected (and thus with vote transfers already done).

    The same sort of shielding could be used in any type of multiwinner
    system. If it's sequential, you just keep the CW from being
    eliminated. If it's combinatorial (like Schulze STV), you only
    consider those sets of winners that include the CW.

dlw:If I was gung-ho on getting the CW elected that'd be really great, but I don't expect great things of the ranking choices of low-info voters like we have a lot of in the US. Does it matter the ratios? Cuz I really like 3:1 multi-winner and single-winner.

The ratios matter to some extent, which we can see by considering the extremes. If you have infinity PR seats to each single-winner seat (i.e. no single-winner seats at all), then you have a PR council. If you elect only single-winner seats, then you get a bunch of the group closest to center, starting at the center and winding its way out (if the method is good, that is).

So the balancing point depends on how much you value single-winner balance against PR diversity. You could probably do some calculations to find out to what degree increasing the single-winner share lowers the probability of small-party kingmakers getting undue power, but ultimately, you'd have to make a value judgement.

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