If your utility function were defined over all possible worlds, you would just say “maximize utility” instead of “maximize expected utility”.
I disagree: that’s only the case if you have perfect knowledge.
Case A: I’m wondering whether to flip the switch of my machine. The machine causes a chrono-synclastic infundibulum, which is a physical phenomenon that has a 50% chance of causing a lot of awesomeness (+100 utility), and a 50% chance of blowing up my town (-50 utility).
Case B: I’m wondering whether to flip the switch of my machine, a friendly AI I just programmed. I don’t know whether I programmed it right, if I did it will bring forth an awesome future (+100 utility), if I didn’t it will try to enslave mankind (-50 utility). I estimate that my program has 50% chances of being right.
Both cases are different, and if you have a utility function that’s defined over all possible future words (that just takes the average), you could say that flipping the switch in the first case has utility of +50, and in the second case, expected utility of +50 (actually, utility of +100 or −50, but you don’t know which).
I disagree: that’s only the case if you have perfect knowledge.
Case A: I’m wondering whether to flip the switch of my machine. The machine causes a chrono-synclastic infundibulum, which is a physical phenomenon that has a 50% chance of causing a lot of awesomeness (+100 utility), and a 50% chance of blowing up my town (-50 utility).
Case B: I’m wondering whether to flip the switch of my machine, a friendly AI I just programmed. I don’t know whether I programmed it right, if I did it will bring forth an awesome future (+100 utility), if I didn’t it will try to enslave mankind (-50 utility). I estimate that my program has 50% chances of being right.
Both cases are different, and if you have a utility function that’s defined over all possible future words (that just takes the average), you could say that flipping the switch in the first case has utility of +50, and in the second case, expected utility of +50 (actually, utility of +100 or −50, but you don’t know which).