EDIT: I should note I’m talking about inserting the “presumptuous philosopher” program into the sleeping beauty situation. Your first sentence seems to imply the original problem, and then your second sentence is back to the sleeping beauty problem.
Still edit: It seems that you are solving the wrong problem. You’re solving the decision problem where you give someone in the universe a dollar and show that an indifferent philosopher is indifferent to living in a universe where 10 other people get a dollar vs. a universe where 1 other person gets a dollar. But he was designed to be indifferent to whether other people get a dollar, so it’s all good. However, that doesn’t appear to have any bearing on probabilities. You can only get probabilities from decisions if you also have a utility function that uses probabilities, and then you can run it in reverse to get probabilities from utility functions. However, indifferent philosopher is indifferent! He doesn’t care what other people do. His utility function cannot be solved for probabilities, because all the terms that would depend on them are “0.”
EDIT: I should note I’m talking about inserting the “presumptuous philosopher” program into the sleeping beauty situation. Your first sentence seems to imply the original problem, and then your second sentence is back to the sleeping beauty problem.
Still edit: It seems that you are solving the wrong problem. You’re solving the decision problem where you give someone in the universe a dollar and show that an indifferent philosopher is indifferent to living in a universe where 10 other people get a dollar vs. a universe where 1 other person gets a dollar. But he was designed to be indifferent to whether other people get a dollar, so it’s all good. However, that doesn’t appear to have any bearing on probabilities. You can only get probabilities from decisions if you also have a utility function that uses probabilities, and then you can run it in reverse to get probabilities from utility functions. However, indifferent philosopher is indifferent! He doesn’t care what other people do. His utility function cannot be solved for probabilities, because all the terms that would depend on them are “0.”