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orthonormal comments on Is causal decision theory plus self-modification enough? - Less Wrong Discussion
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That's the main difference between decision theories like CDT, TDT and UDT.
I think it's the only difference between CDT and TDT: TDT gets a semi-correct causal graph, CDT doesn't. (Only semi-correct because the way Eliezer deals with Platonic nodes, i.e. straightforward Bayesian updating, doesn't seem likely to work in general. This is where UDT seems better than TDT.)