I think that does follow, but you’re altering The Deal. This is a different game.
The only thing Omega is allowed to do is fill the box, or not, in advance. As established in the OP, however, Omega can reduce the expected value by predicting less accurately. But over multiple games, this tarnishes Omega’s record and makes future Choosers more likely to two-box.
I think that does follow, but you’re altering The Deal. This is a different game.
The only thing Omega is allowed to do is fill the box, or not, in advance. As established in the OP, however, Omega can reduce the expected value by predicting less accurately. But over multiple games, this tarnishes Omega’s record and makes future Choosers more likely to two-box.