Cross-posting from Less Wrong, I think there’s a generalized Russell’s Paradox problem with this theory of rationality:
I don’t think I buy this for Newcomb-like problems. Consider Omega who says, “There will be $1M in Box B IFF you are irrational.”
Rationality as winning is probably subject to a whole family of Russell’s-Paradox-type problems like that. I suppose I’m not sure there’s a better notion of rationality.
Cross-posting from Less Wrong, I think there’s a generalized Russell’s Paradox problem with this theory of rationality: