a finite computer can’t store an infinite number of models [...]
For sure. Nor, indeed, can our finite brains. (This is one reason why our actual utility functions, in so far as we have them, probably are bounded. Of course that isn’t a good reason to use bounded utility functions in theoretical analyses unless all we’re hoping to do is to understand the behaviour of a single human brain.)
I wasn’t doubting your math, I was doubting the underlying assumption of a bounded utility function.
Of course, if we want to get technical, a finite computer can’t store an infinite number of models of chocolate anyway.
I can defend that assumption: It is impossible for an expected utility maximizer to have an unbounded utility function, given only the assumption that the space of lotteries is complete. http://lesswrong.com/lw/gr6/vnm_agents_and_lotteries_involving_an_infinite/
Oh, I see. OK.
For sure. Nor, indeed, can our finite brains. (This is one reason why our actual utility functions, in so far as we have them, probably are bounded. Of course that isn’t a good reason to use bounded utility functions in theoretical analyses unless all we’re hoping to do is to understand the behaviour of a single human brain.)