How to use superrational in a sentence? Find typical usage patterns (collocations)/phrases/context for "superrational" and check conjugation/comparative form for "superrational". Mastering all the usages of "superrational" from sentence examples published by news publications.
One form of the categorical imperative is superrationality. The concept was elucidated by Douglas Hofstadter as a new approach to game theory. Unlike in conventional game theory, a superrational player will act as if all other players are superrational too and that a superrational agent will always come up with the same strategy as any other superrational agent when facing the same problem.
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The same applies if the game length is unknown but has a known upper limit. Unlike the standard prisoner's dilemma, in the iterated prisoner's dilemma the defection strategy is counter-intuitive and fails badly to predict the behavior of human players. Within standard economic theory, though, this is the only correct answer. The superrational strategy in the iterated prisoner's dilemma with fixed N is to cooperate against a superrational opponent, and in the limit of large N, experimental results on strategies agree with the superrational version, not the game-theoretic rational one.
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In the platonia dilemma introduced in Douglas Hofstadter's book Metamagical Themas, – reprinted in: an eccentric trillionaire gathers 20 people together, and tells them that if one and only one of them sends him a telegram (reverse charges) by noon the next day, that person will receive a billion dollars. If he receives more than one telegram, or none at all, no one will get any money, and cooperation between players is forbidden. In this situation, the superrational thing to do is to send a telegram with probability 1/20.
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Thus a reader who submitted a large number of entries increased his or her chances of winning but reduced the maximum possible value of the prize. It can be shown mathematically that one maximizes one's average winnings in this game by submitting a number of entries equal to the total number of entries of others. Of course, if others take this into account, then this strategy translates into a runaway reaction to unbounded number of entries being submitted. According to the magazine, the superrational thing was for each contestant to roll a simulated die with the number of sides equal to the number of expected responders (about 5% of the readership), and then send "1" if you roll "1".
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