Omega can simulate me perfectly by assumption, therefore, in order to win (at least probabilistically) I need to base my estimate on something external that I have reason to believe Omega cannot simulate. One approach (for example) might be to bring a quantum random number generator (given our current best models of physics such a device cannot be predicted in advance by any simulation), and use that to introduce randomness into my decision making.
Omega can simulate me perfectly by assumption, therefore, in order to win (at least probabilistically) I need to base my estimate on something external that I have reason to believe Omega cannot simulate. One approach (for example) might be to bring a quantum random number generator (given our current best models of physics such a device cannot be predicted in advance by any simulation), and use that to introduce randomness into my decision making.