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dclayh comments on Newcomb's Problem standard positions - Less Wrong
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Maximising your financial return entails that you make omega's prediction wrong, if you can get it to predict that you one box when you actually two box, you maximise your financial return.
My point is merely that getting Omega to predict wrong is easy (flip a coin). Getting an expectation value higher than $1 million is what's hard (and likely impossible, if Omega is much smarter than you, as Eliezer says above).