Wrong rules. Correct rules are as follows (named “Newcomb’s Problem with a Dual Simulation” in Drescher’s book):
Omega fills the large transparent box with $1,000,000 iff it predicts that you, when faced with (1) full box, and (2) empty box, would in both cases one-box. If it predicts that there’s a nontrivial chance that you’d two-box in either case, it leaves the transparent box empty.
Wrong rules. Correct rules are as follows (named “Newcomb’s Problem with a Dual Simulation” in Drescher’s book):