what would you do if you are player 2 and get to move?
I will realize that I was lied to, and the player 1 is not rational. Now, if you are asking what player 2 should do in a situation where Player 1 does not follow the best possible strategy, I think Eliezer’s solution above works in this case. Or Emile’s. It depends on how you model irrationality.
I don’t agree since you can’t prove that not picking A is irrational until you tell me what player 2 would do if he gets to move and we can’t answer this last question.
I will realize that I was lied to, and the player 1 is not rational. Now, if you are asking what player 2 should do in a situation where Player 1 does not follow the best possible strategy, I think Eliezer’s solution above works in this case. Or Emile’s. It depends on how you model irrationality.
I don’t agree since you can’t prove that not picking A is irrational until you tell me what player 2 would do if he gets to move and we can’t answer this last question.