If the professor posts the list on the board, then of course it should affect the answer. If my name isn't on the list, then he's not going to add the 100 points to my test in any case, so my only recourse to maximizing my grade is to try my best on the test. If my name is on the list, then he's already predicted that I'm going to score below 50, so whether he's a perfect predictor or not, I should try to do well so that he's adding 100 points to as high a score as I can manage.
I believe you are making a mistake. Specifically, you are implementing a decision algorithm that ensures that "you lose" is a correct self fulfilling prophecy (in fact you ensure that it is the only valid prediction he could make). I would throw the test (score in the 40s) even when my name is not on the list.
The difference between the scenario where he writes the names on the board and the scenario where he doesn't is that in the former, my expectations of his actions don't vary according to my own, whereas in the latter, they do.
Do you also two box on Transparent Newcomb's?
I believe you are making a mistake. Specifically, you are implementing a decision algorithm that ensures that "you lose" is a correct self fulfilling prophecy (in fact you ensure that it is the only valid prediction he could make). I would throw the test (score in the 40s) even when my name is not on the list.
If I were in a position to predict that this were the sort of thing the professor might do, then I would precommit to throwing the test should he implement such a procedure. But you could just as easily end up with the perfect predictor p...
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