That's not what I meant. I don't think that people really operate on the basis of probabilistic calculations, but rather on short-range attractors. What I see them being motivated by is the "dream of riches", which feels closer when they take steps, even unlikely ones, to achieve it.

I said that too strongly, as there are definitely other patterns of behavior also acting. But my guess is that most habitual gamblers AREN'T thinking about probabilities. They are feeling their dreams. I may feel that they are acting in a very foolish way to realize their dreams, but when you examine what's happening, most of those dreams are, actually, impossible. So they are acting in a way that they allow themselves to feel will bring their dreams closer, not having any actual way to realize those dreams. (Note that I assert that "Winning the Jackpot" would *not* realize their dreams. It would, in fact, puncture them...but so few will ever win that this hazard is not a problem.)

I definitely don't think that people do well at calculating odds. In fact, I feel that they generally don't do so at all, but rather rely on chains of habits associated with goal states. (Naturally this is a gross oversimplification. Other mechanisms are also present.) But if people were probabilistic calculators, schools would be run in a totally different manner (to pick only one example). What people have are lots and lots of state transition rules based around their experience, and internal mental state is definitely a part of the experience. And, of course, goal states that rise and fall in priority, small amounts of logic, etc. One of the virtues of language is that it facilitates the transmission of "state transition rules" in the form of stories. These, of course, aren't as precise as arithmetic, which generally requires LOTS of repetition to learn with sufficient precision. It's no accident that logic doesn't start getting taught as such (algebra, geometry, etc.) until after several years of arithmetic. And symbolic logic even later. (Well, Lewis Carroll [Professor Charles Dodgson] attempted to create a form of logic suitable for learning at an earlier age, but it met with...minimal acceptance.)

Note that in NONE of these is probability mentioned. Stories often have a contrafactual premise, e.g., "If you should have a goose that lays golden eggs..." so that you won't try to apply them directly, with the understood implication that these are rules to use in an analogous situation. Well, possibly not consciously understood...but when you here someone say "That's killing the goose that lays the golden eggs!" you never thing that a real goose is under discussion.

All that said, there is SOME probabilistic calculation done by people who are skilled in any particular situation. Most people that I'm aware do it with some sort of internal calculation that appears to involve a mental model of weights being lifted by both the left and right hands and "hefted" (not quite juggled). Needless to say this doesn't come up with a very precise answer, but it's generally "good enough" to use when the other approaches fail. (And, yes, professional gambling games are especially designed to render this kind of judgment useless.)

Ben Goertzel wrote:

I knew a lot of gamblers when I lived in Vegas.

Of course, motivations were mixed. Some people did gamble even though they had an accurate idea of the odds, just for the fun of it. However, this was a rare case. Nearly all gamblers had an overoptimistic view of their odds (they knew the odds were against them, but didn't want to face just how badly); and the casino structures games specifically to induce this kind of overoptimism.

For instance, people will routinely choose
-- a $10M slot machine with odds x, instead of
-- a $5M slot machine with odds 3x

because $10M looks funkier to them ... and this even though in terms of their actual life, winning $5M would usually do them about as much good as winning $10M. Dangling huge numbers in front of people has a kind of mind-boggling effect on them.... And there are many subtler tricks up the casinos' sleeves, of course...

Your view of humans as accurate probabilistic reasoners is definitely not borne out by the Heuristics and Biases literature in cognitive psychology.

Ben



On Feb 7, 2007, at 8:40 PM, Charles D Hixson wrote:

gts wrote:
On Wed, 07 Feb 2007 10:57:04 -0500, Ben Goertzel <[EMAIL PROTECTED]> wrote:

The dramatic probabilistic incoherency of humans is demonstrated by human behavior in casinos.

You mean something more stringent than me by the word incoherency, then. Human betting behavior in casinos is stupid but it is not incoherent in the De Finetti sense as I understand it.

It's easy to prove incoherence: one need only show how a dutch book can be made against the allegedly incoherent person. Vulnerability to dutch books is how incoherence is defined under the theory.

Casino gamblers are stupid in so much as they place bets with unfavorable odds, but they do not by virtue of those stupid bets make themselves vulnerable to dutch books. One sometimes wins against unfavorable odds but it is never possible to beat a dutch book. In fact casinos do not even offer such betting situations.

-gts

I suspect you of mis-analyzing the goals and rewards of casino gamblers. I don't personally know any of those addicted to gambling, but I know people who buy lottery tickets every week. They derive pleasure not only from winning, but also from dreaming about winning. Then there's the matter of "expected marginal value". I may suspect that winning would have much less of a positive result than they expect, but this hardly matters as almost nobody will actually win. Therefore most of the benefit must be derivable without winning.

Perhaps most gambling is not a zero-sum game. (Actually, I suspect that winning the lottery may well be a negative result. I'm not certain, but many reports indicate that such a person is more likely to be bankrupt 5 years later than a person who did not win. [Reliability of such reports? Unverified.])

I'm not sure whether or not this speaks to the points that you are attempting to raise, but it certainly calls into question comments about "stupid bets". Well, the lottery isn't a casino, so perhaps you are correct, but I would be suspicious about calculating values based solely on the money.

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