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Mycroft65536 comments on The self-fooling problem. - Less Wrong
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How does this work? If I know that there's evidence that will convince my future self that finding the coin will make me win, then I update on this, and don't believe you when you say that I'll lose if I find the coin. Vice-versa after the memory wipe.
Tell the person in both states that if he finds the coin an arbitrary dog is going to die and the subject will receive $100. Then just before the subject starts to hide the coin, show the a cute puppy to them. The subject will try to hide the coin very well, and then later, without the memory of the cute puppy, will try to find the coin. Incentives should work out, adjust the animal(child?) and dollar amount to suit the subject.