Giles comments on Decision Theories: A Less Wrong Primer - Less Wrong
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They're not necessarily impossible. If you have genuine reason to believe you can outsmart Omega, or that you can outsmart the near-copy of yourself in PD, then you should two-box or defect.
But if the only information you have is that you're playing against a near-copy of yourself in PD, then cooperating is probably the smart thing to do. I understand this kind of thing is still being figured out.