I think this answer contains something important--
Not so much an answer to the problem, but a clue to the reason WHY we intuitively, as humans, know to respond in a way which seems un-mathematical.
It seems like a Game Theory problem to me. Here, we’re calling the opponents’ bluff. If we make the decision that SEEMINGLY MAXIMIZES OUR UTILITY, according to game theory we’re set up for a world of hurt in terms of indefinite situations where we can be taken advantage of. Game Theory already contains lots of situations where reasons exist to take action that seemingly does not maximize your own utility.
I think this answer contains something important--
Not so much an answer to the problem, but a clue to the reason WHY we intuitively, as humans, know to respond in a way which seems un-mathematical.
It seems like a Game Theory problem to me. Here, we’re calling the opponents’ bluff. If we make the decision that SEEMINGLY MAXIMIZES OUR UTILITY, according to game theory we’re set up for a world of hurt in terms of indefinite situations where we can be taken advantage of. Game Theory already contains lots of situations where reasons exist to take action that seemingly does not maximize your own utility.