Fred Gohlke wrote:
Good Afternoon, Kristofer

re: "The rationale (for protecting an opinion not held by the
     majority of the electorate) is that it enables compromise."

I submit that the essence of the Practical Democracy concept is compromise. Three people, exchanging views on a variety of public issues and choosing the spokesperson who most closely represents the attitudes of the group, will work out to the best solution possible. In most cases, 'n' won't win, and neither will 'y'. Instead, superior alternatives will be found.

There are two ways to regard the results of an election method. The first is how accurate the representatives display the properties or opinions of the people, and the second is how good a job the representatives do.

You appear to be focusing on the latter, while I've been focusing on the former. My reason for doing so is that because politics is a process, if a method has biases, then these may amplify in ways that can cause odd results over time. A good example of that is Duverger's law for plurality; the bias is vote-splitting, and it causes two party domination. Even if the country was nearly filled with paragons of virtue, partisanship would happen nevertheless, simply because of the long term feedback of the system. Therefore I try to find situations where your method loses information, and see whether they could cause long-term problems.

From a representativeness point of view, there are two potential sources of trouble, that have been referred to earlier. The first is that while compromise is good, it might be that the compromise isn't transferrable. That covers the "primary", "successive shaving-off", and "differing compromise" objections. Mainly, the intuitive idea is that if a group of three (or some other number) agrees upon a compromise, then by necessity, that compromise can't contain all possible opinions of the group. If this happens in many places, the compromise of compromises will differ from the compromise of all, had they been somehow able to elect directly, simply because the minorities add up to a sizable fraction that could have influenced matters if they had been more lucky. The second is that if there are multiple opinions (not just yes and no), then the triad can't hold an opinion that's held strongly by less than a third of the people. There's simply not enough room, unless the compromise candidates hold this opinion weakly, so that at least some aspect is retained. Raph referred to this when he said that 1/7 is a pretty high bar, and that was with a council size of 7; certainly, most parties (assume they're opinion clusters, I'm not talking about the negative effects of partisanship here) in PR democracies are elected by less than 1/3 of the people, which would be the worst case barrier (for this argument) with a council size of 3. This effect could cause majorities or compromise candidates to become more extreme as long as they know they're part of a majority, so that they can overrule the minority: the internal strategy would then be "how much of the others' views can I squeeze out without alienating the other two in my triad".

This does, of course, not discount the importance of having good politicians. If the legislature turns into a battlefield or get twisted by corruption, it doesn't matter how representative the politicians are. The degree to which representation matters differ with the application of the method: if the legislature can recall the executive, having a majoritarian executive is of less problem than having an unrepresentative legislature. An extreme end point in this case would be judges: you wouldn't really care about whether judges are liberal or conservative if they're good enough to maintain their neutrality whatever their political views. Thus, if your method is used for executive or judicial positions, the potential adverse situations may not occur because disproportionality doesn't add any significant measure of chaos.

re: "The compromise on a national level might be different from
     the compromise on a local level, meaning that the entire
     spectrum should be preserved to the extent that it is
     possible."

That is an implementation concern. The original draft of the concept was done for the State of New Jersey (US) using the 2004 voting-eligible population of 5,637,378 people. It anticipated that, at certain levels, those not selected to advance to state or national offices would constitute a parallel process for local and county offices. The issue was not seeking ideological representation but selection of the best, brightest and most trustworthy people for public office.

Ah, I meant "local" as in lower level triads and "national" as in higher level triads, from the council democracy idea of having councils correspond to geographic locations. I thought this would be the case for the randomization algorithm for your triads, or at least for groups of triads, but that need not be the case, so I might have confused you there.

re: "Otherwise, you can get effects similar to primaries where
     the primary electors elect those that are a compromise
     within their own ranks, and then the general election turns
     out to have candidates that are more extremely placed than
     the voters."

I don't believe the methods are comparable in any way. Parties control the selection of candidates for public office. They are chosen for their bias and their lack of integrity, not for their ability to serve the public interest. That creates a situation in which corruption is inevitable.

Assume for the sake of the example that parties are honest. They aren't, but that's not what the primary effect I mentioned is about. To simplify further, say that there's only one political axis (left-wing to right-wing). The two parties occupy positions some distance away from center, say at 0.20 and 0.75. Then the compromise of the left-wing party will be at 0.20, and that of the right-wing party will be at 0.75; these are both more extremely placed than the true compromise at 0.5.

re: ("A wise electorate will realize their best interests are
      served by electing people with the wit and wisdom to listen
      to, consider, and, when appropriate, accept fresh points of
      view.")

     "Yes, but to do so, they need the big picture."

Anyone who achieves selection to, for example, our Congress, is guaranteed, not only to have 'the big picture' but to be able to enunciate it in so compelling a manner that even those who seek the same seat are convinced. If the selected person is deficient in any way, the others will be sure the weakness is made clear before the choice is made.

I'm getting ahead of myself, but one thing I observed from the simulations is that the higher level councils often have not just a majority, but consensus. Do you think this could lead the councilmembers to consider their own positions to be held by more than is actually the case? Since the positions are central compromises (assuming, again for the sake of the example, negligible disproportionality effects), it would be better than for the system to produce a false consensus of a minority view, but it could still be distorting. I'm not sure, so I ask.

re: "What I meant is that even if you could magic up an election
     method, there will be som reduction of minority opinion.
     There simply isn't enough room in a 200-seat legislature (to
     use example numbers) to perfectly represent opinions that
     are held by less than a 200th of the people ..."

That is a fact. We must keep in mind that we elect the 200 people in that legislature because we want them to make the best decisions for the entire electorate regarding issues that arise during their term. If an issue arises that affects a minority we want them to consider the matter carefully and arrive at the best resolution possible for all of us ... regardless of anyone's ideology.



re: "... if the method tries, then some opinion held by a greater
     share will suffer.  On this I think we agree ..."

We do.

re: "The majority /of that council/. That need not be the
     majority of the people at large. If the real majority is
     thinly spread, it can get successively shaved off until
     nothing remains."

That may be. I haven't examined the point carefully because my focus is on electing better decision makers. There is no doubt that there will be issues that are not clear-cut. To resolve them, we need to change the way we maintain our laws. I could describe one way of doing so but would rather not digress unless you consider it important.

That reduction (that may happen) seems to be a result of the election method. A direct PR election, for instance, would not have this problem (though it may have others). Therefore, you could either readjust the election method, or compensate by some other means; I suppose it's the latter that you're referring to when you say that we'd need to change the way we maintain our laws.

re: "... if a candidate says "Okay, I'll try to compromise" and
     gets the votes of the rest of the triad, and then escalate,
     then what's keeping the candidate from turning on his
     promise?  Presumably you'd expect most people to be honest,
     but there's still an uncertainty, and that uncertainty
     appears at every level."

That is, and will always be, a risk in representative government. As I said in the outline:

  "This is a distillation process, biased in favor of the most
   upright and capable of our citizens.  It cannot guarantee that
   unprincipled individuals will never be selected ... such a
   goal would be unrealistic ... but it does insure that they are
   the exception rather than the rule."

In an ordinary election, that risk occurs once. Among the triads, it occurs once at each level. Unless the triad negotiation phase is very expensive, I think that a body elected by its method should have a recall mechanism to balance that weakness.

Some council democratic ideas (with councils tied to geographical coverage) have recalls at each level. I think that would be too fragile, though, unless (and perhaps even if) the recall is only accepted if it also contains an alternative.

re: "Majority flip frac is the fraction of the times that the
     last triad had a majority for one position where that
     position was in a minority among the people."

Wahoooo!  Ya got me!

Awww, I'm joking.

I confess that I don't understand the math involved but I think I've got a slight glimmer of the picture. Let me also say this. I REALLY wish I could work with math like that. What little I can see in what you've done is exciting.

I guess I'd better check what I think I see:

Are you saying that when 60% of the total population holds a given opinion, the chances are that 99.9983% of the final triads will hold that opinion? I'm not clear on the number of levels this entails, but I don't greatly care because I assume it's a reasonable number.

I'm saying that when 60% of the population holds a given opinion, on average, 99.9983% of the final triad members hold that opinion. "cp avg" is the average support in the final triad. I'm also saying that if 52.5% of the population holds a given opinion, 4.1% of the time, a majority of the final triad members hold the opposing opinion (a "majority flip"). That's not so bad, and it actually surprised me; I thought the quantization error would be much greater.

I wonder if it would be OK for me to mention the danger in trusting simulations when dealing with humans. The incredible financial crisis that threatens us, right now, is as good an example of the danger as I can think of.

That is OK, and I know there is a danger in taking a model too far. You can end up with ideologies like "the market can do no wrong, because a perfectly competitive model in an environment with no externality is Pareto efficient"... where the real world has imperfect competition facing externalities. Still, a simulation is better than nothing at all. The hard part is knowing how far you can generalize the results.

I think, in trying to visualize the system, it's better to think about having three people you know meet, charged with the responsibility for resolving some issue. In municipal terms, for example, for them to decide whether a stop sign, a stop light or no traffic control should be placed at the intersection of Maple and Vine. Even though there's an excellent chance that they will have divergent views on the matter, it is hard to imagine them not making a sincere effort to reach the best decision possible for the community.

That's true. The first representativeness issue regards successive triads, and so wouldn't fit with that visualization. The second representativeness issue would be similar to there being four traffic solutions; one has to remain unrepresented unless some can argue for more than one solution.

re: "Let's then hope that the members can combine the opinions
     better than the limitations of the system squeeze out
     minority opinions that may be influential."

Even more (in my opinion), let us hope the process gives us people of probity and intellect; the kind of people we can rely on to consider all opinions objectively.

Both are important, yes.
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