There is great debate as to what probability you should use in this case. I’m extending my previous work which—arguably—solves the sleeping beauty in the cases where you do care about your copy. Since ASB seems pretty clear as well, I put two more certain cases together to try and solve an uncertain one.
There is great debate as to what probability you should use in this case.
Using UDT, it seems straightforward that a contract with a utility of 1 given a big universe has an expected utility of 1⁄2. It’s not clear to me to if that means the probability should be 1⁄2, but the whole point is to be able to compute expected utilities.
Couldn’t you model indifference to your copy’s well being by just not having your utility function reference your copy?
There is great debate as to what probability you should use in this case. I’m extending my previous work which—arguably—solves the sleeping beauty in the cases where you do care about your copy. Since ASB seems pretty clear as well, I put two more certain cases together to try and solve an uncertain one.
Using UDT, it seems straightforward that a contract with a utility of 1 given a big universe has an expected utility of 1⁄2. It’s not clear to me to if that means the probability should be 1⁄2, but the whole point is to be able to compute expected utilities.