Taken literally, the only way to merge n utility functions into one without any other info (eg the preferences that generated the utility functions) is to do a weighted sum. There’s only n-1 free parameters.
So you think it’s computationally tractable? I think there are some other factors you’re missing. That’s a weighted sum of a bunch of vectors assigning numbers to all possible outcomes, either all possible histories+final states of the universe, or all possible experiences. And there are additional complications with normalizing utility functions; you don’t know the probability distribution of final outcomes (so you can’t take the integral of the utility functions) until you already know how the aggregation of normalized weighted utility functions is going to influence it.
Taken literally, the only way to merge n utility functions into one without any other info (eg the preferences that generated the utility functions) is to do a weighted sum. There’s only n-1 free parameters.
So you think it’s computationally tractable? I think there are some other factors you’re missing. That’s a weighted sum of a bunch of vectors assigning numbers to all possible outcomes, either all possible histories+final states of the universe, or all possible experiences. And there are additional complications with normalizing utility functions; you don’t know the probability distribution of final outcomes (so you can’t take the integral of the utility functions) until you already know how the aggregation of normalized weighted utility functions is going to influence it.