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Adele_L comments on Causal decision theory is unsatisfactory - LessWrong
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You have to consider off-the-equilibrium-path behavior. If I'm the type of person who will always cooperate, what would happen if I went off-the-equilibrium-path and did defect even if my defecting is a zero probability event?
You can consider it, but conditioned on the information that you are playing against your clone, you should assign this a very low probability of happening, and weight it in your decision accordingly.
Assume I am the type of person who would always cooperate with my clone. If I asked myself the following question "If I defected would my payoff be higher or lower than if I cooperated even though I know I will always cooperate" what would be the answer?
Yes, it makes a little bit of sense to counterfactually reason that you would get $1000 more if you defected, but that is predicated on the assumption that you always cooperate. You cannot actually get that free $1000 because the underlying assumption of the counterfactual would be violated if you actually defected.
The answer would be 'MOO'. Or 'Mu', or 'moot'; they're equivalent. "In this impossible counterfactual where I am self-contradictory, what would happen?"