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lackofcheese comments on Problematic Problems for TDT - Less Wrong
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Someone may already have mentioned this, but doesn't the fact that these scenarios include self-referencing components bring Goedel's Incompleteness Theorem into play somehow? I.e. As soon as we let decision theories become self-referencing, it is impossible for a "best" decision theory to exist at all.
There was some discussion of much the same point in this comment thread
One important thing to consider is that there may be a sensible way to define "best" that is not susceptible to this type of problem. Most notably, there may be a suitable, solvable, and realistic subclass of problems over which to evaluate performance. Also, even if there is no "best", there can still be better and worse.