Is the real-world imperative “you must maximize expected utility”, given by the VNM theorem, stronger or weaker than the imperative “everyone must have the same beliefs” given by Aumann’s agreement theorem? If only there was some way of comparing these things! One possible metric is how much money I’m losing by not following this or that imperative. Can anyone give an estimate?
Is the real-world imperative “you must maximize expected utility”, given by the VNM theorem, stronger or weaker than the imperative “everyone must have the same beliefs” given by Aumann’s agreement theorem? If only there was some way of comparing these things! One possible metric is how much money I’m losing by not following this or that imperative. Can anyone give an estimate?