Vaniver comments on Consequences of the Non-Existence of Perfect Theoretical Rationality - Less Wrong Discussion
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Actually, unbounded utility doesn't necessarily provide too much in the way of problems, unless you start averaging. It's more infinite utility that you have to worry about.
"Unbounded utility functions wreck all kinds of havoc in utilitarianism, for exactly this reason, and are generally rejected" - not because they are invalid, but because they complicate things. That isn't a particularly good reason.
"zero opportunity cost" - Again, that's a problem with your tool, not the situation. If I offer you 10 utility for 0 opportunity cost as a once off offer, you take it. You don't need to divide by 0.
"Deliberately creating questions without an answer, and using them to criticize an answer-generating system for its inability to arrive at the correct answer, is just sass without substance." - that has been more than adequately addressed several times on the comment threads.
??? The whole point of utility is to average it. That's what motivations the decision-theoretic definition of utility.
Not if you are a total utilitarian (average utilitarianism is largely incoherent anyway)
If you compute expected utilities, you're averaging utility over possible worlds.