Newcomb's Problem

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Are you kidding? I get paid Box A every week. I'm going for big money!
 
I would not take a box. I do not need any handouts. :ack:
 
Actually, I just remembered something I heard from a lecture on an entirely different subject.

If you quantify the value of the boxes by the probability they have money, you get:

Box A: 100% chance of having $1,000
Box B: 50% chance of having $1,000,000

So, the values of those boxes are:

Box A: $1,000
Box B: $500,000

So using those values, it's obvious that you should take Box B. :D
 
Actually, I just remembered something I heard from a lecture on an entirely different subject.

If you quantify the value of the boxes by the probability they have money, you get:

Box A: 100% chance of having $1,000
Box B: 50% chance of having $1,000,000

So, the values of those boxes are:

Box A: $1,000
Box B: $500,000

So using those values, it's obvious that you should take Box B. :D

How do you work out the 50%?
 
Box B can only have one of two possibilities, and from the point of view of the human taking the box, it's random. So it's just a 50% chance of having money or not having money.

How are both options equally probable?
 
Can I just wander off uninterested in Alien A's stupid mind game? And get on with my life or is option C not allowed?
 
Can I just wander off uninterested in Alien A's stupid mind game? And get on with my life or is option C not allowed?

Why would you do that? If you do that, you get nothing. If you play the alien's game, you get either nothing, $1000, or $1000000, and you are guaranteed at least one box and evidence of the existence of aliens.
 
Can I just wander off uninterested in Alien A's stupid mind game? And get on with my life or is option C not allowed?
What the heck kind of physics guy are you? It's a chance to practically apply quantum uncertainty!
 
Well, what criteria determines that they're not equally probable? The only factor that changes this sort of thing is Omega's omniscience. But the human doesn't know what he will choose until he's faced with the choice. How would you quantify Omega's omniscience?
Omega could be using quantum universe suicide: split the universe, put the money in box B in one universe, don't do it in the other universe, unmake whichever one turns out wrong.
Omega could be using time travel.
Omega could have a computer running a simulation of you to figure out what you'll decide.
Omega could simply be a very, very good psychologist.
Omega could have read your posts here. :p
 
Well, what criteria determines that they're not equally probable? The only factor that changes this sort of thing is Omega's omniscience. But the human doesn't know what he will choose until he's faced with the choice. How would you quantify Omega's omniscience?
Well, it would presumably be what I choose with near 100% certainty. The alien's got me figured out and has already thought my thoughts. This is why I base my decision on something I can probably trust (quantum randomness).
 
Box B of course. $1000 vs a 50% chance for $1 million is not even a comparison. Now, had box A contain $100,000; I would have chosen A.
 
Why would you do that? If you do that, you get nothing. If you play the alien's game, you get either nothing, $1000, or $1000000, and you are guaranteed at least one box and evidence of the existence of aliens.

I get nothing then, sounds fair to me.
 
Both. Regardless of what box I choose, there's $0 or $1m in the box. So why not take the free $1000?

I don't understand why everyone believes 100 correct out of 100 is relevant, or why choosing just the opaque box is the right choice. The money's THERE or it's NOT regardless of what you choose, it's NOT guaranteed if you just take box B.

Well the issue is that the alien predicts that if you do choose both, then the box won't have $1m.

Now, either it is a mind-reader, in which case you can decide with mental discipline to take only box B, and take both when he leaves; or he is a time-traveler, in which case he is guaranteed to be correct and it's better to choose only B.
 
Good point. :hmm: I didn't think of that. That said, I'd still go for both boxes, because I don't want to be seen as the type of person who goes into town specifically to buy boxes.
You could by waterproof stuff.
 
I take box B only. The hole in the 2 boxer argument:

>your decision cannot affect what is in the boxes, because the money was put there IN THE
>PAST.

What makes you believe this (the mono-direction of causality with time)? I thought it was a minority view among physicists these days?
 
And the twist is that Omega has put a million dollars in box B iff Omega has predicted that you will take only box B.

Omega has been correct on each of 100 observed occasions so far - everyone who took both boxes has found box B empty and received only a thousand dollars; everyone who took only box B has found B containing a million dollars. (We assume that box A vanishes in a puff of smoke if you take only box B; no one else can take box A afterward.)

Does Omega make the prediction on the basis that you don't know that Omega makes the prediction?

If so, then take both. If not, and Omega knows that you know that Omega will put $1m in B iff you only pick B, then only pick B.
 
What makes you believe this (the mono-direction of causality with time)? I thought it was a minority view among physicists these days?
The directionality of time is irrelevant, actually. Time travel could be impossible and B could still be the best choice. What the failing here is the nature of conciuosness and choice.
 
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