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Vladimir_Nesov comments on Explicit Optimization of Global Strategy (Fixing a Bug in UDT1) - Less Wrong
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I don't understand what the above means (and so can't readily be in agreement with it). ("Preference scheme"?)
I expect preference mapping to be "essentially" injective (possibly disregarding only stuff that doesn't play any role in the algorithm, including the way it computes as well as the externally visible behavior). Preference is what the program does, and it's everything that the program does. (But what the program does isn't necessarily preferable according to that same program seen as preference.)
At this date almost four years later, I'm not exactly sure what I meant, which is a pretty strong indictment of my ability to write clearly.
I think that I meant the following: Take the set of all possible outcomes, partition this set of outcomes into equivalence classes, and then put an order on the resulting set of equivalence classes. The ordered set of equivalence classes is what I was calling a "preference scheme". (... I think.)
ETA: On further thought, I don't think that that's exactly what I meant, but I honestly don't know what I did mean. I'd like to think that I could have explained myself better at the time, but I didn't write enough so that even I-now could reconstruct what that explanation would have been.