Newcomb’s problem is a thought experiment where you’re presented with two boxes, and the option to take one or both. One box is transparent and always contains $1000. The second is a mystery box.

Before making the choice, a supercomputer (or team of psychologists, etc) predicted whether you would take one box or both. If it predicted you would take both, the mystery box is empty. If it predicted you’d take just the mystery box, then it contains $1,000,000. The predictor rarely makes mistakes.

This problem tends to split people 50-50 with each side thinking the answer is obvious.

An argument for two-boxing is that, once the prediction has been made, your choice no longer influences the outcome. The mystery box already has whatever it has, so there’s no reason to leave the $1000 sitting there.

An argument for one-boxing is that, statistically, one-boxers tend to walk away with more money than two-boxers. It’s unlikely that the computer guessed wrong, so rather than hoping that you can be the rare case where it did, you should assume that whatever you choose is what it predicted.

  • Sickos [they/them, it/its]@hexbear.net
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    8 months ago

    I am, admittedly confused by the premisetoo hypothetical to warrant reasoning about, but, I am interested in how there is ever a possible downside to taking both?

    It’s $1000one box, $xone box, $1000+$xtwo boxen. $1000+$x > $1000 because the hungry alligator eats the bigger number

    • Ryanmiller70@lemmy.zip
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      8 months ago

      That’s what has me confused. I thought I was misreading something cause I couldn’t see a downside to not taking both boxes. If the box is empty, you still have the $1000 and if it’s not then you get even more money.

  • chicken@lemmy.dbzer0.com
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    8 months ago

    A rule of thumb I think is good for most sorts of investment is, what choice can you feel good about making whether or not it works out? I can handle not getting 1k, but I would feel like a real chump missing out on an easy 1m without giving my best effort. If I pick just the mystery box and win, I feel like that win is deserved. If I pick just the mystery box and I walk away with nothing, then at least I don’t have to live with the shame of being a 2-boxer, which is more valuable than $1k. If I pick both boxes, I most likely get a little bit of money and a lifetime of bitter regrets, or in the less likely case get 1.001 million dollars and a sense of having barely avoided disaster and not really “deserving” it. Choosing only the mystery box is the clear choice because it is the choice I am more able to handle having made, on an emotional level.

  • FackCurs@lemmy.worlddeleted by creator
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    8 months ago

    It means that the people in the experiment have $1,001,000 to give way, for free.

    What if I rob them first?

    What if I convince them to unionize and they redistribute all the money fairly among the workers and force management to not conduct shitty social experiments on people?

  • Arrkk@lemmy.world
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    8 months ago

    An angle I don’t see people looking at is to reframe the problem with amounts that are much more understandable, there is one thousand times more money in the mystery box, so let’s do the following:

    The Open box has 1 cent in it, and the mystery box might have $10, what do you do?

    Y’all are telling me you’d rather take a penny and have a tiny Chance at $10, rather than taking $10 with a tiny Chance of getting zero?

  • Azzu@lemmy.dbzer0.com
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    8 months ago

    The answer depends entirely on what “rarely makes mistakes” means.

    If the prediction is correct more than 50.05% of the time, then I would take the mystery box. Expected value = 0.5006 * 1,000,000 = 500,600

    If the prediction is correct less than 50.05% of the time, then I would take both: expected value = 1000 + (1 - 0.5004) * 1,000,000 = 500,600

    Since “rarely” usually means some value much less than 50%, I would definitely take the mystery box.

  • starman2112@sh.itjust.works
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    8 months ago

    Their machine should be able to predict how dumb and irrational I am. Even if there is necessarily no downside to taking both boxes, I only take the mystery box.

    If I end up taking both boxes, then the machine may or may not have predicted that. But if I end up only taking the mystery box, then I doubt the machine would have predicted that I’d take both. I’m walking away with that cool mil

  • felsiq@piefed.zip
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    8 months ago

    I think the numbers are a little off for this to be tempting, if I’m getting $1,000,000 then a K is a rounding error and I see no reason to make the mil any less likely for it. Like if I wanted that extra grand throwing 10% of the mil into a short GIC would be how I’d get it personally, for a risk free $1,001,000

  • DagwoodIII@piefed.social
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    8 months ago

    I’m playing with the house’s money.

    If I get nothing, I’m no worse off than I was before.

    Besides, the mystery box is a mystery, and I love a mystery.

  • Dyskolos@lemmy.zip
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    8 months ago

    I don’t need the 1000, so the mio-gamble would be my choice.

    If I’d really need 1k right now, those would be the choice. Gambling is stupid.

  • owenfromcanada@lemmy.ca
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    8 months ago

    I’m the kind of person who would ask for their definition of “rarely”. How many 9s are we talking? If it’s at least three nines, I’m one-boxing it.