That’s interesting. The one problem that I have is it’s rather unclear when a belief is evaluated for the purposes of utility. Which is to say, does Joe care about his belief at time t=now, or t=now+delta, or over all time? It seems obvious that most utility functions that care only about the present moment would have to be dynamically inconsistent, whether or not they mention belief.
Thanks, that’s a good point. In fact, it’s possible we can reduce the whole thing to the observation that it matters when utility of belief function is evaluated if and only if it’s nonlinear.
That’s interesting. The one problem that I have is it’s rather unclear when a belief is evaluated for the purposes of utility. Which is to say, does Joe care about his belief at time t=now, or t=now+delta, or over all time? It seems obvious that most utility functions that care only about the present moment would have to be dynamically inconsistent, whether or not they mention belief.
Thanks, that’s a good point. In fact, it’s possible we can reduce the whole thing to the observation that it matters when utility of belief function is evaluated if and only if it’s nonlinear.