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army1987 comments on Causal decision theory is unsatisfactory - LessWrong
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Assume it's not a perfect clone, it can defect with probability p even if you cooperate. Then apply CDT. You get "defect" for any p>0. So it is reasonable to implicitly assume continuity and declare that CDT forces you to defect when p=0. However, if you apply CDT for the case p=0 directly, you get "cooperate" instead.
In other words, the conterfactual reasoning gets broken when the map CDT(p, PD) is not continuous at the point p=0.
Suppose you have to submit the source code of a program X, and I will play Y = “run X, then do what X did with probability 0.99 and the reverse with probability 0.01” against Y' which is the same as Y but with a different seed for the RNG, and pay you according to how Y does.
Then “you” (i.e. Y) are not a perfect clone of your opponent (i.e. Y').
What do you do?