Eliezer_Yudkowsky comments on Why We Can't Take Expected Value Estimates Literally (Even When They're Unbiased) - Less Wrong

75 Post author: HoldenKarnofsky 18 August 2011 11:34PM

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Comment author: Eliezer_Yudkowsky 18 August 2011 11:56:58PM 51 points [-]

Quick comment one:

This jumped out instantly when I looked at the charts: Your prior and evidence can't possibly both be correct at the same time. Everywhere the prior has non-negligible density has negligible likelihood. Everywhere that has substantial likelihood has negligible prior density. If you try multiplying the two together to get a compromise probability estimate instead of saying "I notice that I am confused", I would hold this up as a pretty strong example of the real sin that I think this post should be arguing against, namely that of trying to use math too blindly without sanity-checking its meaning.

Quick comment two:

I'm a major fan of Down-To-Earthness as a virtue of rationality, and I have told other SIAI people over and over that I really think they should stop using "small probability of large impact" arguments. I've told cryonics people the same. If you can't argue for a medium probability of a large impact, you shouldn't bother.

Part of my reason for saying this is, indeed, that trying to multiply a large utility interval by a small probability is an argument-stopper, an attempt to shut down further debate, and someone is justified in having a strong prior, when they see an attempt to shut down further debate, that further argument if explored would result in further negative shifts from the perspective of the side trying to shut down the debate.

With that said, any overall scheme of planetary philanthropic planning that doesn't spend ten million dollars annually on Friendly AI is just stupid. It doesn't just fail the Categorical Imperative test of "What if everyone did that?", it fails the Predictable Retrospective Stupidity test of, "Assuming civilization survives, how incredibly stupid will our descendants predictably think we were to do that?"

Of course, I believe this because I think the creation of smarter-than-human intelligence has a (very) large probability of an (extremely) large impact, and that most of the probability mass there is concentrated into AI, and I don't think there's nothing that can be done about that, either.

I would summarize my quick reply by saying,

"I agree that it's a drastic warning sign when your decision process is spending most of its effort trying to achieve unprecedented outcomes of unquantifiable small probability, and that what I consider to be down-to-earth common sense is a great virtue of a rationalist. That said, down-to-earth common-sense says that AI is a screaming emergency at this point in our civilization's development, and I don't consider myself to be multiplying small probabilities by large utility intervals at any point in my strategy."

Comment author: Wei_Dai 19 August 2011 03:05:30AM *  24 points [-]

I don't consider myself to be multiplying small probabilities by large utility intervals at any point in my strategy

What about people who do think SIAI's probability of success is small? Perhaps they have different intuitions about how hard FAI is, or don't have enough knowledge to make an object-level judgement so they just apply the absurdity heuristic. Being one of those people, I think it's still an important question whether it's rational to support SIAI given a small estimate of probability of success, even if SIAI itself doesn't want to push this line of inquiry too hard for fear of signaling that their own estimate of probability of success is low.

Comment author: Eliezer_Yudkowsky 19 August 2011 10:38:57PM 15 points [-]

Leaving aside Aumann questions: If people like that think that the Future of Humanity Institute, work on human rationality, or Giving What We Can has a large probability of catalyzing the creation of an effective institution, they should quite plausibly be looking there instead. "I should be doing something I think is at least medium-probably remedying the sheerly stupid situation humanity has gotten itself into with respect to the intelligence explosion" seems like a valuable summary heuristic.

If you can't think of anything medium-probable, using that as an excuse to do nothing is unacceptable. Figure out which of the people trying to address the problem seem most competent and gamble on something interesting happening if you give them more money. Money is the unit of caring and I can't begin to tell you how much things change when you add more money to them. Imagine what the global financial sector would look like if it was funded to the tune of $600,000/year. You would probably think it wasn't worth scaling up Earth's financial sector.

Comment author: Wei_Dai 20 August 2011 05:57:23AM *  8 points [-]

If you can't think of anything medium-probable, using that as an excuse to do nothing is unacceptable.

That's my gut feeling as well, but can we give a theoretical basis for that conclusion, which might also potentially be used to convince people who can't think of anything medium-probable to "do something"?

My current thoughts are

  1. I assign some non-zero credence to having an unbounded utility function.
  2. Bostrom and Toby's moral parliament idea seems to be the best that we have about how to handle moral uncertainty.
  3. If Pascal's wager argument works, and to the extent that I have a faction representing unbounded utility in my moral parliament, I ought to spend a fraction of my resources on Pascal's wager type "opportunities"
  4. If Pascal's wager argument works, I should pick the best wager to bet on, which intuitively could well be "push for a positive Singularity"
  5. But it's not clear that Pascal's wager argument works or what could be the justification for thinking that "push for a positive Singularity" is the best wager. We also don't have any theory to handle this kind of philosophical uncertainty.
  6. Given all this, I still have to choose between "do nothing", "push for positive Singularity", or "investigate Pascal's wager". Is there any way, in this decision problem, to improve upon going with my gut?

Anyway, I understand that you probably have reasons not to engage too deeply with this line of thought, so I'm mostly explaining where I'm currently at, as well as hoping that someone else can offer some ideas.

Comment author: lessdazed 20 August 2011 11:18:45AM 2 points [-]

Imagine what the global financial sector would look like if it was funded to the tune of $600,000/year. You would probably think it wasn't worth scaling up Earth's financial sector.

And one might even be right about that.

A better analogy might be if regulation of the global financial sector were funded at 600k/yr.

Comment author: multifoliaterose 19 August 2011 10:53:43PM 2 points [-]

Money is the unit of caring and it really is impossible to overstate how much things change when you add money to them.

Can you give an example relevant to the context at hand to illustrate what you have in mind? I don't necessarily disagree, but I presently think that there's a tenable argument that money is seldom the key limiting factor for philanthropic efforts in the developed world.

Comment author: Eliezer_Yudkowsky 19 August 2011 11:50:27PM 1 point [-]

BTW, note that I deleted the "impossible to overstate" line on grounds of its being false. It's actually quite possible to overstate the impact of adding money. E.g., "Adding one dollar to this charity will CHANGE THE LAWS OF PHYSICS."

Comment author: ciphergoth 20 August 2011 06:58:40AM 0 points [-]

What sort of key limiting factors do you have in mind that are untouched by money? Every limiting factor I can think of, whether it's lack of infrastructure or corruption or lack of political will in the West, is something that you could spend money on doing something about.

Comment author: multifoliaterose 20 August 2011 06:51:02PM *  1 point [-]

If nothing else, historical examples show that huge amounts of money lobbed at a cause can go to waste or do more harm than good (e.g. the Iraq war as a means to improve relations with the middle East).

Eliezer and I were both speaking in vague terms; presumably somebody intelligent, knowledgeable, sophisticated, motivated, energetic & socially/politically astute can levy money toward some positive expected change in a given direction. There remains the question about the conversion factor between money and other goods and how quickly it changes at the margin; it could be negligible in a given instance.

The main limiting factor that I had in mind was human capital: an absence of people who are sufficiently intelligent, knowledgeable, sophisticated, motivated, energetic & socially/politically astute.

I would add that a group of such people would have substantially better than average odds of attracting sufficient funding from some philanthropist; further diminishing the value of donations (on account of fungibility).