Fred Gohlke wrote:
Good Afternoon, Kristofer

I'd like to start by thanking you for your analytical comments. Your forbearance on the points where my understanding lags is gratifying, for I fear your level of education exceeds mine by a considerable margin. Although I lack formal education, I don't lack the capacity for independent thought. If you wish to know a bit more about me, you'll find a brief profile at:

http://whither-democracy.blogspot.com/

You're welcome. Actually, I don't have much of a formal education as regards election methods or societal dynamics, but I seem to naturally think in an analytical manner. That, the internet, and curiosity goes a long way.

Incidentally, why are your web log entries timestamped 2010?

re: "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."

In this, you describe a distinction I hadn't considered ...

I focus on how good a job our representatives do rather than how well they reflect the opinions of the people, because, while I stand second to no-one in my commitment to our right to govern ourselves, I'm not blind to the fact that we can be manipulated.

We may, at some point, need to look at why we are susceptible to manipulation, but, at the moment, I'll only say if we are to govern ourselves, we must offset that susceptibility with leaders who have the ability to guide us past our own shortcomings and the integrity to do so to our common advantage. We will only improve our society when we find leaders who can transcend the vagaries of opinion without betraying the public interest.

I can see the point you're making, but I think you should be careful not to go to the other extreme, too. Opinions may shift, but at the bottom of things, they're the people's priorities of in what direction to take society. The vagaries you speak of could be considered noise, and that noise is being artificially increased by the two main parties, since if they can convince their wing voters they represent their opinion (or change their opinion), then those voters are more likely to vote for them instead of not voting at all. That doesn't mean that there's no signal, though, and where that signal does exist, it should not be averaged out of existence or amplified in some areas and attenuated in others (as could happen if the majority of the majority is not equally much a majority of the whole).

re: "... because politics is a process, if a method has biases,
     then these may amplify in ways that can cause odd results
     over time."

I had not understood that point and I'm glad you raise it. Would it be correct to imagine there is a difference between a systemic bias (as in the plurality system) and the biases of ideology (as with Liberals and Conservatives)? I believe your reference is to the former.

Yes, it is. To be more specific, the bias I'm talking about is a distortion of the wishes of the people. A method that fails mutual majority might pick a candidate where a majority prefers one of a set that candidate isn't in, for instance; and more concretely, Plurality squeezes out the center and provides incentives for two-party rule.

It is my belief (until I learn otherwise) that the process I've outlined has a bias in favor of the most fundamental goals of society. Humans have a natural tendency to pursue their own interest, and the choices they make will reflect this. Time and repetition will refine the choices from the extremes enunciated by the least thoughtful of us to their essence as enunciated by the most thoughtful.

That means that your system acts less quickly to change. This is a method that can work, and it prevents the kind of spurious opinion oscillation you'd see in Plurality, but again, if it goes too far, it's too slow. I don't know if it is too quick, just right, or too slow, but I think it's more likely that it's one of the two latter than the former, especially given the observation that majority agreements turn into consensus at the higher levels.

re: "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."

Although I don't think you mean otherwise, partisanship is natural for humans. It exists independently of our political systems. Politicians exploit that tendency to our disadvantage. They trade on it to attain power.

An important consideration for a sound electoral method is the ability to function independent of partisanship. We all have partisan feelings. Indeed, they are a vital part of society, but they must always be a voice and never a power. The danger is not in partisanship, it is in allowing partisans to control government.

What I meant was that even if the majority were (by some miracle) nonpartisan, parties would form out of necessity. Plurality simply can't support a horde of independents. As such, Plurality encourages the formation of parties, and of parties to coalesce until there are two main blocks -- even in the best case (where near-nobody is partisan), the nature of Plurality, the method itself, shapes the results, meaning that it definitely does so under less ideal conditions, such as in the world today.

re: "... I try to find situations where your method loses
     information, and see whether they could cause long-term
     problems."

We know systems can be corrupted. If we find flaws in this one now, we have an opportunity to correct them. I've spent many hours trying to imagine weaknesses in the method, but that is a matter best investigated by others. I, like all humans, am constrained by my own blinders.

Yes, and if we find really bad flaws in it, then we can say "no, this can't be salvaged, let's try something else", without actually having society be hurt by our "experiment".

My fixes to the system would be to have a somewhat larger council size and use a PR method to pick more than one representative/delegate to the next level. This weakens your aim, which is to retain the experienced who can convince others, but hopefully not too much, and it also alleviates what I see as the problem, that legitimate shades of the people's idea of how society should be run would otherwise be excluded.

The exact size of the council would have to be found out by either trying, or by reasoning. I understand the reason for picking three, as you gave in your earlier post, so it's likely that inreasing the council size would make it less of a discussion and more formal, which we don't want. What we'd need would be to understand how quickly the council degrades as its size increases, in comparison to the gains elsewhere (in accuracy and in agreement).

re: "... 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."

I understand your point. I would agree with it ... if humans were stick figures. Since we are not, I think it misleading to attribute monomania to all humans. It is true there are among us people so obsessed with the rectitude of a belief they will sacrifice themselves and others to assert their point of view. However, such individuals are but a tiny part of the human race. Most humans are amenable to reason, but they must have an environment in which reason can thrive.

Taken as a group, members of a minority can appear monolithic, but when you examine the individuals that make up the group, you find endless variations in their belief in and commitment to the group. You also find they each embody parts of many other groups, some of which are antithetical to each other. There is infinite variety in their views. Rare indeed, is the individual that does not favor some minority. I fear that excessive focus on minorities will distort one's view of humanity.

In the case of three people selecting a representative, or, perhaps even better, a spokesperson, the selection is not a compromise, it is a conscious decision that one individual's advocacy of some dynamically defined group of topics is superior to that of the others. It is correct to say the person selected can not contain (represent) all the possible opinions of the group ... but that is an advantage rather than a disadvantage. Taken over a broad spectrum ... say the 3000 triads at the initial level in the example ... the cumulative effect is a conscious effort by all participants to make the best selection possible, under the dominant biases of the time.

It's true that all methods must exhibit some distortion; the proof is simply the one I explained earlier, that if there's a council of size 200 then the only way for someone who holds a single opinion to hold one that less than 0.5% of the people holds if there's some other opinion than more than 0.5% holds that's not represented. Thus, to the extent that we want the representatives to have the full picture, the question is, compared to other methods, is the distortion/quantization particularly bad, or is it better than other methods?

That proof is, of course, a simplification which assumes that humans are stick figures. That isn't true in reality, as you point out. However, there is still a limit to how wide a span a single representative can hold - how many different solutions he can contemplate and argue in favor of - so the method (and any method) will still exhibit a quantization of the ideas of the people, and the same question returns; is it worse or better than other methods? (And also, is the quantization biased so that the method may give feedback like the two-party entrenchment of Plurality?)

When we model humans as stick figures, these questions can be, after some fashion, be answered by simulations. When we try to be more accurate, in that people are not, it becomes more difficult. There is both the objective neutrality ("judge manner", or the degree to which one is not corrupted, selfish, etc), and subjective positions (how many opinions? how wide a span can a single representative hold?).

To return to a more concrete response: if the councilmembers can hold many opinions, or a range of opinions, and deliberate among those, the effect of exclusion is significantly reduced, but it'll still be there, and it may or may not still exhibit the "shaving off significant, but thinly spread, areas of opinion" effect, only with ranges of opinion taking the place of stick-man type "either you're with us or without us" opinions. I don't know whether it would, since it'd depend not only on the system, but also on the integrity of the councilmembers.

If I may presume to suggest an instance which (I think) bears out the circumstance you describe, we can reasonably imagine most humans feel we should avoid the mindless slaughter of war. Yet, the chances of selecting a candidate absolutely committed to opposing war is very small because we also recognize the governments of our era are imperfect.

Even so, we can anticipate that when people are not obliged to choose between 'hawks' and 'doves' they will choose candidates with a preference for avoiding armed conflict; people who will work, within the realities of their time, to eliminate war as an element of policy. Thus, what is declared (by some) to be a minority public opinion (i.e., anti-war sentiment) gains influence, not by attracting additional adherents, but by the ascendancy of reason over partisanship.

Right, I see how the method would ideally work. The most hawkish would be pulled towards the center by those who are more dovish than them, and the same for the extreme doves. This would happen either by conviction (the representative/councilmember elected being convinced it's better not to be so extreme) or by replacement (if he doesn't); and would be augmented by the method picking objectively skilled members who'd be more likely to accept new ideas.

Let's see what ways it could fail.

The councilmember could lie his way to the top. This could be softened by recall; in some proposed council democracies, the councils are permanent and a majority at level (n-1) can recall a council at level n, but even with only the population to have recall at the end of the process, it would weaken the incentive to lie. The closest example to councils of councils, that I know of, with the attendant objection that councilmembers are not accountable to the people because they can't be revoked, is the Commission of the European Union. The Commission is made up of members elected by the state governments, which are in turn elected by the people; or even with one additional link of indirection, through a parliament. Now, the analogy might be weak, since the EC is limited by the effects of the systems used to elect the intermediate steps, and possibly also by the partisanship incentives you've talked about earlier; and the "councils" are much larger than your triads as well; but that's the closest we have. If the EC is a good example, then accountability is going to be a problem.

The hawkish (say) could have fortuitious geographical distribution and also be unusually zealous. My simulations seem to show this is not as much of a problem as I thought, at least not with a one-dimensional issue of war vs peace. What happens if a triad is unable to agree upon a candidate? Would it then be done by vote, random selection within the council, or is that councilmember's position undetermined and filled randomly at the next level?

re: "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."

As described in the response to the first point, neither humans nor their opinions are so monochromatic. People often favor opinions that are not currently popular. When they do, they work for their implementation indirectly even though direct advocacy would be stymied. To assert that people are defined by the opinions attributed to them is putting the cart before the horse. Speaking of horses, I'll stop beating this one ... it may already be dead.

I'll try to sum it up so we can see how we think here. My concern is that first, minorities can get shaved off in unpredictable ways, and second, that because of the small size, each triad may not have all information required to decide which is the more accurate with respect to what the people thinks. The first is particular to the triad system, the second would be the case for all systems with small bodies. You're saying that the triad councilmembers would make up for it by being unusually good at what they do; that they would have many opinions and not stick fanatically to any one of them, because the process would encourage those who were objectively skilled enough to do this.

If that's right, then the difference here is a focus on whether councilmembers accurately represent the people, versus how good each councilmember is at his profession-as-it-were.

To the degree I'm biased, I'm biased towards the first because it provides a worst case limit: even if you end up with bad councilmembers, you end up with a cross-section of the people, which is better than a gathering of bad majoritarian councilmembers, excluding all the others. Also, I've seen how single-member plurality works, and multiple-member methods (like STV) seem to produce much better results in practice. The similarity would be that one could argue towards single-member plurality in the way you do, that the important thing is not to pick the partisan member, but the one who'd do his work the best. Then again, Plurality is flawed even as a single-winner method, so single-member districts under Plurality may not give a good idea of how far you can get with the single-member idea; Condorcet may be better.

There is also the amplification effect I've talked about earlier, on how the errors of the system could provide an unwanted dynamic (like two-party domination in Plurality), but yes... the horse is dead now, and I was just going to show how I reasoned.

re: "... if the legislature can recall the executive, having a
     majoritarian executive is of less problem than having an
     unrepresentative legislature."

This topic is mentioned but not expanded in the second footnote to the Sefton petition:

    "#2: The process is inherently bi-directional.  Questions on
     specific issues can easily be transmitted directly to and
     from the electors for the guidance or instruction of elected
     officials."

The point was not expanded, in part, because it is not included in the petition. Another reason for not expanding it is that it is implementation-dependent. The natural bi-directionality of the process allows many enhancements, not least of which is recall. It also opens the door to substantial digressions from the primary focus of the process ... to harness our natures to the electoral process. We can anticipate that this topic can, and will, lead to considerable dissension between those who feel representatives must be under the direct control of the people and those who feel we elect people of judgment and should (within limits) trust their judgment.

To briefly repeat what I've said, I think bidirectionality is going to be particularly important here, simply because the method contains multiple elections (one for each level), not just one, so the bidirectionality is not just from the final to the people, but to all the other levels as well. Thus, if there's a dilution of responsibility that must be compensated for by bidirectionality, that dilution happens multiple times, and so the compensation has to be all the stronger.

re: "... 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."

I think I understand. I took the .20 and .75 values to mean a position within a wing rather than a position on the axis, but that line of thought led me astray. In an effort to enhance my understanding, I tried to create a diagram but that didn't work for me, either, so I tried creating a diagram of my own.

Is this representation, where each symbol (l,m,r) indicates 2% of the electorate, close? The idea I'm trying to convey is that the (l)eft and (r)ight portions of the electorate are approximately equal at 40% each and there's a middle segment, committed to neither side, of approximately 20%. The candidates for each side are represented as being 20% (L) and 25% (R) from the least radical end of each wing:

                     L                  R
     llllllllllllllllllllmmmmm mmmmmrrrrrrrrrrrrrrrrrrrr
          -01%/-40%       -10%/+10%      +11%/+50%

If "L" wins:
                     L (-18)
     llllllllllllllllllllmmmmm mmmmmrrrrrrrrrrrrrrrrrrrr
          -01%/-40%       -10%/+10%      +11%/+50%

If "R" wins:
                                        R (+20)
     llllllllllllllllllllmmmmm mmmmmrrrrrrrrrrrrrrrrrrrr
          -01%/-40%       -10%/+10%      +11%/+50%

If that is a reasonable depiction of what you mean, even the most cursory examination should show how unappealing it is, from the perspective of the entire electorate. Obviously, the more either candidate moves toward its polar extreme (and we've often seen that in the U.S.), the more offensive the concept is to reason. Nor is the offensiveness ameliorated by the fact that a majority of the electorate chose the final winner because their choices were limited to two actors and were based on a multiplicity of emotional triggers inspired by professional opinion-makers.

That is for the most part an accurate depiction. However, I considered the values to be absolute. Thus, for 2% per, you'd get

0.0  0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9  1.0
 #----#----#----#----#----#----#----#----#----#----#
           L              |            R
 llllllllllllllllllllmmmmm|mmmmmrrrrrrrrrrrrrrrrrrrr
                          |
         -01%/-40%   [-10%/+10%]    +11%/50%

This doesn't change much about what you said, though, it just makes the right-wing party candidate slightly more palatable than the left-wing candidate, since the right-wing party contains more of the close-to-middle voters than do the left-wing party. Presumably, the right-wing party candidate would win in a two-party Plurality election.

In any event, this is a sufficiently reasonable depiction of what happens in primaries. It's idealized and reality may be somewhat different, since parties may know this and strategize, picking a candidate closer to the middle. On the other hand, their internal primary election method might distort results, particularly for US parties, since they use Plurality.

The relevance of this problem as regards the council democracy / triad system is that the "l" and "r" voters are majorities, but neither L (the majority choice of the l-majority) nor R (the majority choice of the r-majority) is a good candidate. This shows how the true center may be eliminated for opinion ranges (not binary opinions) in a kind of real-valued variant of vote-splitting.

If the council deliberation works similar to Condorcet, the effect will be weakened, since a Condorcet election with a middle candidate inserted above (at 0.5) would elect the middle candidate:
  40: L > M > R    (left-wing group)
  10: M > R > L    (middle group)
  40: R > M > L    (right-wing group)
and M is the Condorcet Winner.

The effect might happen between councils, though, even if they don't happen (or happen only weakly) inside councils.

re: "... 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?"

I suspect that is a virtual certainty, for projection is another natural human trait (albeit one I did not consider and I'm deeply impressed that your simulations revealed it.) Since I had never considered this aspect of the process and am an inordinately slow thinker, it will take me a long time to fully appreciate the significance of this point. At first blush, I lean toward the opinion that it's favorable: Those who would advocate positions must have confidence in their rectitude. Part of that confidence will come from the belief that they speak for many like-minded people. If this leads to excess, it will affect subsequent elections (or invoke some action via the bi-directional nature of the selection process).

Confidence in their position is a good thing, as long as that projection does not lead from confidence to overconfidence and detachment from those groups of the people that do not share the councils' positions. Since a majority is transformed into near-consensus as the candidates/councilmembers bubble up through the levels, the effect would probably be more severe the further up the levels you got, and the more levels there are in general.

re: "... 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."

Yes. Although I don't want to digress unduly, I think it ludicrous that a provision enacted by a tiny majority of a legislature should become the law of the land in perpetuity. Laws should have a life defined by the extent of their public support. Oversimplified, and with a percentage used for example only, a law enacted by a majority of less than 52% should have to be re-enacted after one year. Living under a law is different than discussing it in preparation for enactment. Therefore, laws should require annual re-enactment until they attract enough support to raise them to a higher bracket with a longer life or fail of adoption.

I don't want to digress too much, either, but let's just say that I've been considering similar ideas, myself; such as laws having a sunset that depends on how great a majority passed it, or on a president having a variable-time term depending on his victory margin.

Another, for presidential elections, would be one where it's possible to do a recall at any time. Then, at the start, you need a "yes" vote of at least 3/2 of the fraction that voted for the president, but where this margin gradually decreases.

For instance, you could have a decrease of 0.78 parts of a percent per month. So a president elected by a fraction of 51% would require a recall majority of 76.5% at day zero, 76.5 - 0.78 = 75.72% after one month.. and 76.5 - (0.78 * 3 * 12) = 48.42% after three years. The same kind of "gradual mounting opposition" could be applied to laws as well. There should probably be some sort of quorum (absolute limit) so that one can't do an unnoticed recall.

re:  "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, too, am surprised ... but surprised it is possible to devise simulations of such precision. Although I never thought about the possibility of a "majority flip", it doesn't surprise me that they occur. Indeed, part of my rationale is that, given time and an environment in which to reflect, thoughtful people will learn (i.e., change their opinions). (In an attempt to interject a bit of humor, I'll tell you one of my favorite sayings is that I change my opinions more frequently than I change my socks. All it takes is clearer understanding.)

That was a stick-man model, therefore majority flips would be a bad thing. I expected the majority flips to be much more frequent, though.

re: "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."

There is little in life I find more stimulating than reminders that there are valid views other than my own ... and they're the most fun when they are described simply and clearly so I don't have to work for the insight. Thanks for this one.


If I've failed to address anything of note, please let me know.
Same thing goes here, but I don't think you did.
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