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.
Bongo linked to it in response to my question about it.
Wrong rules. Correct rules are as follows (named “Newcomb’s Problem with a Dual Simulation” in Drescher’s book):