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Kingreaper comments on Newcomb's Problem: A problem for Causal Decision Theories - Less Wrong
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CDT still works in that case if you're dealing with omega, and have no reaason to believe Omega won't simulate you. If you are one of the simulations, you decide the prediction for the real version
How about if you're dealing with me?
Then CDT seems to fail, with it being a low-% case (perhaps 55% as I used above) and EDT fails due to the prize already being in evidence