This is actually insightful, given that the most frequently proposed way for Omega to make predictions is to simulate the decision-maker—in which case you run into a Sleeping Beauty problem in which you are the real or simulated decision-maker.
I like this phrasing. It’s less ambiguous.
I agree that this takes us into the world of Sleeping Beauty problems. But those are much harder. This makes things worse.
Sleeping beauty is not hard as a decision problem.
This is actually insightful, given that the most frequently proposed way for Omega to make predictions is to simulate the decision-maker—in which case you run into a Sleeping Beauty problem in which you are the real or simulated decision-maker.
I like this phrasing. It’s less ambiguous.
I agree that this takes us into the world of Sleeping Beauty problems. But those are much harder. This makes things worse.
Sleeping beauty is not hard as a decision problem.