The original Newcomb’s problem is interesting because it leads to UDT, which allows coordination between copies. Your problem seems to require anti-coordination instead. (Note that if your copies have different information, UDT gives you anti-coordination for free, because it optimizes your whole input-output map.) I agree that anti-coordination between perfect copies would be nice if it were possible. Is it fruitful to think about anti-coordination, and if yes, what would the resulting theory look like?
Also, here’s a couple ways you can remove the need for Omega:
1) You wake up in a room with two buttons. You press one of them and go back to sleep. While you’re asleep, the experimenter gives you an amnesia drug. You wake up again, not knowing if it’s the first or second time. You press one of the buttons again, then the experiment ends and you go home. If you pressed different buttons on the first and second time, you win $100, otherwise nothing.
2) You are randomly chosen to take part in an experiment. You are asked to choose which of two buttons to press. Somewhere, another person unknown to you is given the same task. If you pressed different buttons, you both get $100, otherwise nothing.
The original Newcomb’s problem is interesting because it leads to UDT, which allows coordination between copies. Your problem seems to require anti-coordination instead. (Note that if your copies have different information, UDT gives you anti-coordination for free, because it optimizes your whole input-output map.) I agree that anti-coordination between perfect copies would be nice if it were possible. Is it fruitful to think about anti-coordination, and if yes, what would the resulting theory look like?
Also, here’s a couple ways you can remove the need for Omega:
1) You wake up in a room with two buttons. You press one of them and go back to sleep. While you’re asleep, the experimenter gives you an amnesia drug. You wake up again, not knowing if it’s the first or second time. You press one of the buttons again, then the experiment ends and you go home. If you pressed different buttons on the first and second time, you win $100, otherwise nothing.
2) You are randomly chosen to take part in an experiment. You are asked to choose which of two buttons to press. Somewhere, another person unknown to you is given the same task. If you pressed different buttons, you both get $100, otherwise nothing.