The Von Neumann-Morgenstern paradigm allows for binary utility functions, i.e. functions that are equal to 1 on some event/(measurable) set of outcomes, and to 0 on the complement. Said event could be, for instance “no global catastrophe for humanity in time period X”.
Of course, you can implement some form of deontology by multiplying such a binary utility function with something like exp(- bad actions you take).
Any thoughts on this observation?
 
Hi! Interesting post!
Just to make sure I got it right: in Claim 1, if you substract $\sum_n H(P_{\mu}(\cdot | x_n))$ on both sides of inequality (1.1), you get that the sum of the KL-divergences $\sum_n KL(P_{\mu}(\cdot | x_n), P_{M_1}(\cdot | x_n, D_{<n})$ is smaller than the constant $C(\mu, M_1)$, right?
Then, dividing by N on both sides, you get that the average of said KL divergences goes to 0 as N goes to infinity, at least with rate 1/N, is that correct?