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shminux comments on Open Thread, September 1-15, 2012 - Less Wrong
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Nuke'm solution to the Newcomb problem: tell Omega that you pick what he'd have picked for himself, were he in your situation. That'll Godel him.
I think this should be "I'll pick the opposite of what you'll predict me to pick", otherwise Omega will Loeb you...
How? I thought that asking Omega to model himself would throw him inside the model, which is bad enough. Yours is just blatantly incompatible with Omega being able to predict your choice, so he probably would not offer you to play.
(Also, unfortunately neither is permitted as a reply, since the Omega's prediction is withheld from the player, according to the setup.)