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Lumifer comments on Open Thread, Apr. 20 - Apr. 26, 2015 - Less Wrong Discussion
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It's just a version of the Newcomb's problem with negative outcomes instead of positive.
Presumably the oracle makes its offer only to people from two classes: (1) Those who will die next week AND will not pay $1000; and (2) Those who will pay $1000 AND not die next week. Since it's the oracle it can identify these people and make its offer only to them. If you got this offer, you are in one of the above classes but you "don't know" in which.