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shokwave comments on Problematic Problems for TDT - Less Wrong
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Reason backwards from the inevitable end of the iteration. Defecting makes sense there, so defecting one turn earlier makes sense, so one turn earlier...
That depends on if it's known what the last iteration will be.
Also, I think any deviation from CDT in common knowledge (such as if you're not sure that they're sure that you're sure that they're a perfect CDT) would result in defecting a finite, and small, number of iterations from the end.