Yes, if Omega accurately simulates me and wants me to be wrong, Omega wins. But why do I need to get the answer exactly “right”? What does it matter if I’m slightly off?
This would be a (very slightly) more interesting problem if Omega was offering a bet or a reward and my goal was to maximize reward or utility or whatever. It sure looks like for this setup, combined with a non-adversarial reward schedule, I can get arbitrarily close to maximizing the reward.
Yes, if Omega accurately simulates me and wants me to be wrong, Omega wins. But why do I need to get the answer exactly “right”? What does it matter if I’m slightly off?
This would be a (very slightly) more interesting problem if Omega was offering a bet or a reward and my goal was to maximize reward or utility or whatever. It sure looks like for this setup, combined with a non-adversarial reward schedule, I can get arbitrarily close to maximizing the reward.
This problem is merely meant as an example of a phenomenon.