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drnickbone comments on Problematic Problems for TDT - Less Wrong
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Re: your EDIT. Yes, I've had that sort of reaction a couple of times today!
I'm shifting around between "CDT should pick at random, no CDT should pick Box 1, no CDT should use a logical coin, no CDT should pick it's favourite number in the set {1, 2} with probability 1, and hope that the version in the sim has a different favourite number, no, CDT will just go into a loop or collapse in a heap."
I'm also quite clueless how a TDT is supposed to decide if it's told there's a CDT in the sim... This looks like a pretty evil decision problem in its own right.
Well, the thing is that CDT doesn't completely specify a decision theory. I'm confident now that the specific version of CDT that I described would fail to deduce anything and go with its default, but it's hard to speak for CDTs in general on such a self-referential problem.