Solution for who? A certainly doesn't want you mucking around it its utility function as that would cause it to not do good things in the universe (from its perspective)
If A knows that a preferred outcome is completely unobtainable and it knows that some utilitarian theorist is going to discount its preferences with regard to another agent, isn't it rational to adjust its utility function? Perhaps it's not; striving for unobtainable goals is somehow a human trait.
In pathological cases like that, sure, you can blackmail it into adjusting its post-op utility function. But only if it became convinced that that gave it a higher chance of getting the things it currently wants.
A lot of those pathological cases go away with reflectively consistent decision thoeries, but perhaps not that one. Don't feel like working it out.
I've been reading through this to get a sense of the state of the art at the moment:
http://lukeprog.com/SaveTheWorld.html
Near the bottom, when discussing safe utility functions, the discussion seems to center on analyzing human values and extracting from them some sort of clean, mathematical utility function that is universal across humans. This seems like an enormously difficult (potentially impossible) way of solving the problem, due to all the problems mentioned there.
Why shouldn't we just try to design an average bounded utility maximizer? You'd build models of all your agents (if you can't model arbitrary ordered information systems, you haven't got an AI), run them through your model of the future resulting from a choice, take the summation of their utility over time, and take the average across all the people all the time. To measure the utility (or at least approximate it), you could just ask the models. The number this spits out is the output of your utility function. It'd probably also be wise to add a reflexive consistency criteria, such that the original state of your model must consider all future states to be 'the same person.' -- and I acknowledge that that last one is going to be a bitch to formalize. When you've got this utility function, you just... maximize it.
Something like this approach seems much more robust. Even if human values are inconsistent, we still end up in a universe where most (possibly all) people are happy with their lives, and nobody gets wireheaded. Because it's bounded, you're even protected against utility monsters. Has something like this been considered? Is there an obvious reason it won't work, or would produce undesirable results?
Thanks,
Dolores