benelliott comments on You're in Newcomb's Box - LessWrong

40 Post author: HonoreDB 05 February 2011 08:46PM

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Comment author: Dorikka 02 February 2011 12:27:49AM 4 points [-]

In Newcomb's problem, we can make the statement that people one-boxing in Newcomb's problem reliably receive $1,000,000 while people two-boxing reliably receive only $1000 via Omega's infallible prediction, so we can conclude that one-boxing is a better solution, even if we don't know the low-level definition of the process by which the prediction occurs.

However, we have no evidence that choosing an option that Prometheus did not predict that you would choose will make you cease to exist. For all his foresight, Prometheus just didn't predict correctly what you would choose -- there's no threat looming over your head.

Of course, you may have some weird programming in your brain that physically prevents you from two-boxing here, but there is no evidence to suggest that trying would likely harm you.

Comment author: benelliott 02 February 2011 08:15:43AM *  2 points [-]

I don't know about you, but I would still one-box on Newcomb's problem even if Omega is not entirely infallible, so the fact the Prometheus is capable of mistakes cannot be the problem. I would also one-box in transparent Newcomb's, since once again being the sort of person that does that seems to end well for me.

What is the difference between this and transparent Newcomb's with an Omega who is very occasionally wrong.

Comment author: Dorikka 02 February 2011 10:24:41PM *  2 points [-]

Ah, bugger. I've lost my link to Transparent Newcomb (TN).

From what I recall, Omega doesn't let you play the game if you would one-box on normal Newcomb but two-box on TN. As a result, having the strategy 'I will one-box on normal Newcomb but two-box on TN' will probably result in you getting no money because when Omega psychoanalyzes you, he'll almost always see this. So you lose, because you're not yet past the filter.

In this problem, you were filtered out prior to birth by a Prometheus who only chose embryos that he believed would one-box. The line 'I should one-box or I won't get to exist' doesn't work because embryos can't think. At the time at which you can first consciously consider this problem, you will be past the filter, and so are free to choose the most effective solution regardless of Prometheus's preferences. So you two-box and win, 'cause you already exist.

The problem changes, of course, if there is any way in which Prometheus could punish you for two-boxing, causing you to lose >100$ in utility.

Edit: Changed a couple of details to properly refer to TN when Omega has a slight possibility of being wrong.

Comment author: benelliott 03 February 2011 07:10:03AM 1 point [-]

What if we modify transparent Newcomb to say the Omega chose whether to fill the box before you were born?

Comment author: Tenek 06 February 2011 03:21:06PM *  0 points [-]

Maybe Prometheus could predict your decision by running a simulation of you and putting "you" in that situation.

Comment author: ArisKatsaris 04 February 2011 10:28:19PM 0 points [-]

Ah, bugger. I've lost my link to Transparent Newcomb (TN).

Bongo linked to it in response to my question about it.

Comment author: Vladimir_Nesov 04 February 2011 11:00:05PM *  2 points [-]

Wrong rules. Correct rules are as follows (named "Newcomb’s Problem with a Dual Simulation" in Drescher's book):

Omega fills the large transparent box with $1,000,000 iff it predicts that you, when faced with (1) full box, and (2) empty box, would in both cases one-box. If it predicts that there's a nontrivial chance that you'd two-box in either case, it leaves the transparent box empty.

Comment author: ArisKatsaris 04 February 2011 10:36:08PM 0 points [-]

What is the difference between this and transparent Newcomb's with an Omega who is very occasionally wrong.

Well for starters, existing people can be rewarded or punished. Non-existing people cannot. Any bet offered with a promise or punishment to a non-existing person, is a sucker's bait.

Btw, Transparent Newcomb also seems stupid to me. When Omega offers you the boxes you see what Omega has foreseen for you, and yet you're seemingly not allowed to update on the information, because being the sort of person who lets observed reality affect his decision-making means that Omega won't have chosen you in the first place. Or e.g. being the person who lets emotional outrage at Omega prejudging you affect his judgment.

I can precommit to honoring some known situations (Parfit's hitchhiker, Kavka's toxin), but I don't know how to self-modify to not self-modify at any situation. That looks like brain-damage to me, not rationality.

Comment author: AlephNeil 07 February 2011 05:41:43PM *  3 points [-]

So you think that one-boxing is correct in the regular version of Newcomb's paradox but incorrect in the 'transparent boxes' version?

So then, if you had to play the "transparent boxes" version you might think to yourself beforehand "if only this was the regular Newcomb's problem I would almost certainly win $1m, but as things are I'm almost certainly only going to get $1k."

Help is available: Go into the room with a blanket or tea-cosy, and carefully shield your eyes until such time as you've located box B and thrown the blanket or tea-cosy over it. (Hopefully Omega will have anticipated such shenanigans from you, and filled the boxes accordingly.)

Comment author: ArisKatsaris 07 February 2011 06:58:04PM *  0 points [-]

So you think that one-boxing is correct in the regular version of Newcomb's paradox but incorrect in the 'transparent boxes' version?

Not quite. Thinking it over, what I'm saying is that one-boxing in transparent Newcomb requires a level of committment that's different in kind to the level of commitment required by normal Newcomb. Here's why:

  • Our primary goal is to get a box filled with $1.000.000

  • In normal Newcomb, we can succeed in this by committing to taking the opaque box. Therefore we just have to trust Omega's predictive capabilities were good enough to predict us one-boxing, so that the opaque box IS the box with $1.000.000

  • In transparent Newcomb, we can succeed in getting a box filled with $1.000.000 only by committing to take an empty box instead if an empty box appears.Unless our senses are deluding us (e.g. simulation), this is a logical impossibility. So we must commit to a logical impossibility, which being a logical impossibility should never happen.

So normal Newcomb just requires a bit of trust in Omega's abilities, while transparent Newcomb requires committing to a logical impossibility (that the empty box is the filled box). Or perhaps altering your utility function so that you no longer want money-filled boxes.

Comment author: TheOtherDave 07 February 2011 07:52:05PM 1 point [-]

But isn't it equally a "logical impossibility" in normal Newcomb that taking both boxes will give me less money than taking just one box?

I agree that with transparent boxes the "logical impossibility" feels more salient, especially if I don't think about the normal variant too carefully. So, sure, there's a difference. But I don't think the difference is what you are claiming here.

Comment author: HonoreDB 07 February 2011 07:20:41PM 0 points [-]

Note that this particular response to transparent Newcomb doesn't apply to the Prometheus variant, since you never see the empty box.

Comment author: ArisKatsaris 07 February 2011 07:44:57PM 0 points [-]

In the Prometheus variant we see we exist. I really can't take the Prometheus variant at all seriously, nor do I believe I should.

Comment author: Blueberry 05 February 2011 09:01:49PM 0 points [-]

Transparent Newcomb is the same problem as Kavka's toxin. You should take one box for the same reason you should drink the toxin after the millionaire gives you the money. Your argument would prevent you from winning at Kavka's toxin: after you get the money, and you're faced with the toxin to drink, it's tempting to think that there's no reason to drink it.

Comment author: ArisKatsaris 07 February 2011 04:59:24PM 0 points [-]

You're not making the correct comparison. Drinking Kavka's toxin after you get the money is like one-boxing after seeing the box is full.

One-boxing whether the box is full or empty is however like drinking Kavka's toxin even if you do NOT get the money.

And since Transparent Newcomb demands the latter (one-boxing whether the box is full or empty), it's not the same problem as Kavka's toxin.