The optimal thing would be to have Omega think that you will one-box, but you actually two box. You’d love to play Omega for a fool, but the problem explicitly tells you that you can’t, and that Omega can somehow predict you.
Omega has extremely good predictions. if you’ve set your algorithm in such a state that Omega will predict that you one-box, you will be unable to do anything but one-box—your neurons are set in place, causal lines have already insured your decision, and free will doesn’t exist in the sense that you can change your decision after the fact.
In the strictest sense, that requires breaking the speed barrier to information. Otherwise I’m going to bring in a cosmic ray detector and two box iff the time between the second and third detection is less than the time between the first and second.
The optimal thing would be to have Omega think that you will one-box, but you actually two box. You’d love to play Omega for a fool, but the problem explicitly tells you that you can’t, and that Omega can somehow predict you.
Omega has extremely good predictions. if you’ve set your algorithm in such a state that Omega will predict that you one-box, you will be unable to do anything but one-box—your neurons are set in place, causal lines have already insured your decision, and free will doesn’t exist in the sense that you can change your decision after the fact.
In the strictest sense, that requires breaking the speed barrier to information. Otherwise I’m going to bring in a cosmic ray detector and two box iff the time between the second and third detection is less than the time between the first and second.