In the example in https://www.lesswrong.com/posts/rcXaY3FgoobMkH2jc/figuring-out-what-alice-wants-part-ii , I give examples of two algorithms with the same outputs but where we would attribute different preferences to them. This sidesteps the impossibility result, since it allows us to consider extra information, namely the internal structure of the algorithm, in a way relevant to value-computing.
In the example in https://www.lesswrong.com/posts/rcXaY3FgoobMkH2jc/figuring-out-what-alice-wants-part-ii , I give examples of two algorithms with the same outputs but where we would attribute different preferences to them. This sidesteps the impossibility result, since it allows us to consider extra information, namely the internal structure of the algorithm, in a way relevant to value-computing.