Ah, are you saying you should use your prior to choose a policy that maximizes your median utility, and then implementing that policy, rather than updating your prior with your observations and then choosing a policy that maximizes the median? So like UDT but with medians?
It seems difficult to analyze how it would actually behave, but it seems likely to be true that it acts much more similarly to mean utility maximization than it would if you updated before choosing the policy. Both of these properties (difficulty to analyze, and similarity to mean maximization) make it difficult to identify problems that it would perform poorly on. But this also makes it difficult to defend its alleged advantages (for instance, if it ends up being too similar to mean maximization, and if you use an unbounded utility function as you seem to insist, perhaps it pays Pascal’s mugger).
Ah, are you saying you should use your prior to choose a policy that maximizes your median utility, and then implementing that policy, rather than updating your prior with your observations and then choosing a policy that maximizes the median? So like UDT but with medians?
Ouch! Sorry for not being clear. If you missed that, then you can’t have understood much of what I was saying!
Ah, are you saying you should use your prior to choose a policy that maximizes your median utility, and then implementing that policy, rather than updating your prior with your observations and then choosing a policy that maximizes the median? So like UDT but with medians?
It seems difficult to analyze how it would actually behave, but it seems likely to be true that it acts much more similarly to mean utility maximization than it would if you updated before choosing the policy. Both of these properties (difficulty to analyze, and similarity to mean maximization) make it difficult to identify problems that it would perform poorly on. But this also makes it difficult to defend its alleged advantages (for instance, if it ends up being too similar to mean maximization, and if you use an unbounded utility function as you seem to insist, perhaps it pays Pascal’s mugger).
Ouch! Sorry for not being clear. If you missed that, then you can’t have understood much of what I was saying!