That makes a lot of sense, but it does require you to know your utility function ahead of time. When this is not the case we might still want to propagate whatever you know about the prior forward to the posterior as a kind of caching operation for use in future decisions.
You don’t necessarily need to know your utility function, just the utility of what is being decided between or a preference ordering may do. (Solving/making progress on a specific problem may be easier than working on an abstract problem.)
That makes a lot of sense, but it does require you to know your utility function ahead of time. When this is not the case we might still want to propagate whatever you know about the prior forward to the posterior as a kind of caching operation for use in future decisions.
You don’t necessarily need to know your utility function, just the utility of what is being decided between or a preference ordering may do. (Solving/making progress on a specific problem may be easier than working on an abstract problem.)