Raph Frank wrote:
On Sun, Sep 14, 2008 at 8:56 AM, Kristofer Munsterhjelm <[EMAIL PROTECTED]> wrote:
A random assembly also resists the attack where one corrupts
candidates, simply because it's not clear who the candidates are
going to be.

There is also the effect that a person who wants to be a candidate
may need support to have any chance at all.

What do you mean?

I don't know if randomness, or more generally, a weak
voter-representative link is required for this resistance. It might
be, for a single given representative, but a method where voters
elect groups and some subset of each group is taken could also be
resistant to this, if it's not obvious beforehand which subset is
taken.

Interesting.

You could have a system with PR-STV where half of the elected candidates are excluded from consideration and then the election is held a second time.

One way of doing this would be to take a leaf from genetic algorithms. Using either roulette selection or tournament selection, pick until you have the council size.

Here's an example for roulette selection. The strategy would need a method that returns an aggregate scored (rated) ballot, where that aggregate is a proportional completion. Six candidates, three to be elected:

Score   Name    Cumulative score
0.9474: A       0.9474
0.6680: B       1.6154
0.3046: C       1.9200
0.2980: D       2.2180
0.1502: E       2.3682
0.0015: F       2.3697

We pick a random number on [0, 2.3697). We get 1.85603, so the first with cumulative score greater than 1.85603 is elected. That's C. Next, the random number is 2.04665. D is elected. Next, 0.738655. A is elected.

So A, C, and D are elected. The candidates with greater electoral support have greater chance of being chosen, but for any candidate, there's still a nonzero probability that some other will be selected instead. By running the scores through a function, one could make the method regard the electoral results more (by amplifying the gaps in scores) or less (by evening them out).


However, in general, there's a problem with such hybrids. The problem is that, for elections to work, the people must know the candidates to at least some extent. Because of this, candidates are going to have a history - they will be persistent, and some candidates will run multiple times. But this means that they can be corrupted, since the hypothetical conspiracy know who to target. If you elect groups instead (or parties), the conspiracy or lobbyists are going to target those who decide the group composition - the party management in the case of parties. The effect will lessen if there are many groups, or the method supports independents, but it won't disappear.

There seems to be an inescapable tradeoff here, at least unless one "thinks outside the box", like with delegable proxy.
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