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RobinZ comments on Newcomb's Problem and Regret of Rationality - Less Wrong
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I would use a true quantum random generator. 51% of the time I would take only one box. Otherwise I would take two boxes. Thus Omega has to guess that I will only take one box, but I have a 49% chance of taking home another $1000. My expected winnings will be $1000490 and I am per Eliezer's definition more rational than he.
This is why I restate the problem to exclude the million when people choose randomly.