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Manfred comments on Maybe we're not doomed - Less Wrong
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Huh, maybe we should hold a tournament for iterated multi-person PD rules. The most interesting paper I found was this one and it just scratches the surface. Do you know if anyone's already done it?
It seems like cooperation should still work well, but I'm not sure how well different enforcement mechanisms would work, which might lead to a sizeable niche for defectors.
At this point you probably know more about it than I do. The reason I brought N-player PDs up, though, is because I expect that many of them are tough nuts to crack and mere iteration doesn't foster cooperation nearly so easily as in the 2-player version.