Intuitively, one does not want to take actions a and b with probabilities of 2⁄3 and 1⁄3, whenever the EU of a is twice that of b. Rather, it might be useful to not act entirely as utility estimates based on the uncertainty present—but if you are absolutely certain U(a) = 2*U(b), then it seems obvious one should take action a, if they are mutually exclusive. (If there is a 1⁄2 chance that U(a) = 1, and U(b) = 2, and a 1⁄2 chance that U(a) = 1, and U(b) = 1⁄2, then EU(a) = 1, and EU(b) = 1.5.)
Intuitively, one does not want to take actions a and b with probabilities of 2⁄3 and 1⁄3, whenever the EU of a is twice that of b. Rather, it might be useful to not act entirely as utility estimates based on the uncertainty present—but if you are absolutely certain U(a) = 2*U(b), then it seems obvious one should take action a, if they are mutually exclusive. (If there is a 1⁄2 chance that U(a) = 1, and U(b) = 2, and a 1⁄2 chance that U(a) = 1, and U(b) = 1⁄2, then EU(a) = 1, and EU(b) = 1.5.)
I think you are right, but my idea applies more when one is uncertain about their expected utility estimates. I write a better version if my idea here https://www.evanward.org/an-entropic-decision-procedure-for-many-worlds-living/ and would love your feedback