Newcombs paradox
Quick thoughts: from the formulation here, it seems obvious that only selecting box B is the right choice to make. It seems that most of the dissent around this line of thinking arises from a disagreement with the fundamental statement of the problem, namely that (in the context of the problem of course) there exist infallible predictors of the future. So knowing there’s no way to “cheat” the predictor, there’s only one obvious choice. However, the formulation isn’t really here for its game theoretic analysis and more for the philisophical paradox surrounding the ideas of free will and time travel. The wikipedia article also makes note of the problem’s isomorphism to Braess paradox, which is another interesting perspective to think about. Another interesting and related thought experiment is Kavkas toxin puzzle.