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ciphergoth comments on Solve Psy-Kosh's non-anthropic problem - Less Wrong
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It looks like the double-count is that you treat yourself as an autonomous agent when you update on the evidence of being a decider, but as an agent of a perfectly coordinated movement when measuring the payoffs. The fact that you get the right answer when dividing the payoffs in the 9-decider case by 9 points in this direction.