Note that if you prefer A to B to C, but prefer “certain C” to “coinflip A or B”, then you don’t have a utility function over ABC.
You might, as in OP, have a utility function over something else. Like maybe “ABC plus a history of correctly predicting which of ABC I’d have”.
Note that if you prefer A to B to C, but prefer “certain C” to “coinflip A or B”, then you don’t have a utility function over ABC.
You might, as in OP, have a utility function over something else. Like maybe “ABC plus a history of correctly predicting which of ABC I’d have”.