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JulianMorrison comments on Timeless Decision Theory: Problems I Can't Solve - Less Wrong
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Hah! Same thought!
What's the moral action when the moral problem seems to diverge, and you don't have the compute resources to follow it any further? Flip a coin?
I would suggest that the best move would be to attempt to coerce the situation into one where the infinite regress is subject to analysis without Halting issues, in a way that is predicted to be least likely to have negative impacts.
Remember, Halting is only undecidable in the general case, and it is often quite tractable to decide on some subset of computations.
Unless you're saying "don't answer the question, use the answer from a different but closely related one", then a moral problem is either going to be known transformable into a decidable halting problem, or not. And if not, my above question remains unanswered.
I meant something more like "don't make a decision, change the context such that there is a different question that must be answered". In practice this would probably mean colluding to enforce some sort of amoral constraints on all parties.
I grant that at some point you may get irretrievably stuck. And no, I don't have an answer, sorry. Chosing randomly is likely to be better than inaction, though.