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denis_bider comments on The True Prisoner's Dilemma - Less Wrong
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An excellent way to pose the problem.
Obviously, if you know that the other party cares nothing about your outcome, then you know that they're more likely to defect.
And if you know that the other party knows that you care nothing about their outcome, then it's even more likely that they'll defect.
Since the way you posed the problem precludes an iteration of this dilemma, it follows that we must defect.