In any situation where someone might be really good at predicting your thought processes, its best to add some randomness to your actions. Therefore, my strategy would be to use a quantum random number generator to choose just box B with 51% probability. I should be able to win an average of $1000490.
Some variants of the Newcomb problem specify that if Omega isn’t sure what you will do he will assume you’re going to two-box.
(And if Omega is really that smart he will leave box A in a quantum superposition entangled with that of your RNG. :-))
Some variants of the Newcomb problem specify that if Omega isn’t sure what you will do he will assume you’re going to two-box.
(And if Omega is really that smart he will leave box A in a quantum superposition entangled with that of your RNG. :-))