Fred Gohlke wrote:
Good Afternoon, Kristofer

re: "This sounds a lot like what I've previously referred to as
    'council democracy'."

I hadn't heard that term before or seen the proposal. I wonder if the concepts can be merged, perhaps by an analytical critique of the processes.

I first mentioned it here: http://listas.apesol.org/pipermail/election-methods-electorama.com/2008-July/021966.html to which Abd replied here: http://listas.apesol.org/pipermail/election-methods-electorama.com/2008-July/021968.html . I said that I think some unions use this process: they have local delegates that form councils that elect regional delegates and so on.

re: "The first problem of council democracy is that it magnifies
     opinion in a possibly chaotic manner."

This is, I suspect, a function of the size of the 'council'. The larger it is, the less opportunity each member has to help form its view.

That is, unless we use proportional representation. If the council is of size 7, no opinion that holds less than 1/7 of the voters can be represented, so if the opinion is spread too thin, it'll be removed from the system; but if you have an extreme of a single layer with PR, elected nationally, then the number is much lower.

An aspect of this question that troubles me is the backward-looking nature of opinion. Government is (or, at least, ought to be) concerned with the present and the future. We should prize our representatives' ability to address contemporary concerns with all the resources at our command rather than apply pre-conceived solutions to new, and possibly unknown, circumstances. In other words, opinion must be subject to intellect.

Yes, that's true. I'm using opinion mainly as a way to show that minority properties can be either attenuated or magnified, based simply on how the voters are distributed among the councils. This could apply to any preference that may be held by only a minority (or even by a majority, as the worst case scenario shows): it could be a preference for deliberative or intelligent representatives for that matter.

re: "In the very worst case, an opinion held by (2/3)8 = 4% can
     be held by a majority of the last triad."

I lack the expertise to evaluate the math, but I don't understand the point for a different reason: Is 'an opinion ... held by a majority of the last triad' not but one of a multitude of such opinions? Does a person's value rest on a single opinion or on the mix of opinions that define the person? Indeed, is their value not better determined by their ability to implement whatever mix of opinions we perceive them to have?

Again, I use opinions to make the argument simple. Consider it another way: each reduction of many triads to one triad has to, by some measure, aggregate minority opinion. In the worst case, only the majority counts (as this is majority-based and not a consensus mechanism), and the minority preference (opinion, share, whatever) gets shaved off. Since the reduction is exponential, even more gets shaved off at each instance, and these slices may in the end constitute a majority.

re: "... but the point holds: because the comparisons are local,
     disproportionality can accumulate."

I'm not clear on this point. By 'local', do you mean that the participants are from a distinct locality? That is certainly true at the very lowest levels, but the distinction blurs as the levels advance. I'm not sure what will be disproportionate.

Here's an example of size 3 of the effect I'm talking about. I hope my (and your) mail software won't mangle this too badly.

For the sake of simplicity, again, we'll consider binary opinion. There's a question that has a yes or no answer. The concils are set up like this:

L1  YYN YYN NNN
     |   |   |
     Y   Y   N
     |   |   |
     +---+---+
L2      YYN

Here there are four ayes that overrule the five nays, simply because they're better positioned. If you look at the second level, it even seems like the ayes have 2/3 of the public support, when that is clearly not the case.

In an ordinary council democracy, a conspiracy could stack the councils in this manner, but in your proposal, because of random selection, that would not be possible. Still, it shows a problem of the process by showing a true majority getting assigned a minority of the representatives and vice versa.

Weighted votes could ameliorate the case, but it wouldn't fix it completely, and it may be unwieldy. In the case above: the unanimous N would have strength 3 while the Y members have strength 2 each, thus giving 58% for the ayes. That's lower than the raw 2/3 ~= 67%, but still too high.

re: "One could reduce the first problem by having a larger group
     that elects more than one member."

The question of group size is worthy of considerable thought. Rather than extend this message, I will post a message titled 'DELIBERATIVE GROUP SIZE and PERSUASION' so we can focus on the issues separately.

Alright, I'll await that message. I'll just say that as far as representation goes, it might be possible to quantify it mathematically. Using larger councils with PR slows down the exponential reduction (so there are more layers), but increases the fraction represented at each layer. To what degree these even out, I don't know, but those who know mathematics better than I do could perhaps find out.

Also, if the councils are intended to be act directly, one should take into consideration Parkinson's observation about committees of varying size: http://en.wikipedia.org/wiki/Coefficient_of_Inefficiency . If that's taken at face value, it would give an upper bound of 20.

re: "The minimum possible opinion that can attain a majority here
     has (4/5)9 = 13.4% support among the people."

Is that a valid assertion? I fear I'm missing some part of the point. If a candidate feels murder is a felony, if there any reason the candidate could not have 100% support on that opinion among the electorate? Perhaps more important (to me) is the belief that we should want our candidates to represent the best interest of all the people rather than a subset of them that happen to hold some opinion.

I may have phrased that diffusely. What I meant is that the least minority that can end up with a majority of the final triad "representatives" is one that holds an opinion shared by 13.4% of the people. That's a worst case binary opinion (ayes or nays) scenario.

That's not to say that the reduction can't cope with true majority opinions. If a candidate feels murder is a felony, he could have 100% support on that opinion, and most of the time, if there's a minority that becomes a majority simply by fortuitious placement within the councils, it'll have an opinion that's shared by more than 13.4%. The worst case scenario only shows how bad it *can* get.
----
Election-Methods mailing list - see http://electorama.com/em for list info

Reply via email to