Then the question of which box you should take is moot since, without free will, you cannot make any such decision. The exact amount you win is out of your control.
Edited:
Under determinism, the question of which strategy is best can be answered without any assumptions about free choice: you can think of sets of pre-existing agents, which make different decisions, or adopt different strategies determinstically—in this case,OneBoxBots, and TwoBoxBots -- and you can make claims about what results they get, without any of them deciding anything or doing anything differently.
But free choice is still highly relevant to the problem as a whole.
I agree. However I think that case is trivial because a OneBoxBot would get the 1-box prize, and a TwoBoxBot would get the 2-box prize, assuming the premise of the question is actually true.
Edited:
Under determinism, the question of which strategy is best can be answered without any assumptions about free choice: you can think of sets of pre-existing agents, which make different decisions, or adopt different strategies determinstically—in this case,OneBoxBots, and TwoBoxBots -- and you can make claims about what results they get, without any of them deciding anything or doing anything differently.
But free choice is still highly relevant to the problem as a whole.
I agree. However I think that case is trivial because a OneBoxBot would get the 1-box prize, and a TwoBoxBot would get the 2-box prize, assuming the premise of the question is actually true.
One boxers think you can never get the two box prize, so that’s not trivial.