superrationality (or renormalized rationality) is an alternative type of rational decision making different from the widely accepted game-theoretic one, since a superrational player playing against a superrational opponent in a prisoner's dilemma will cooperate while a game-theoretically rational player will defect. it is not a mainstream model within game theory. the concept was created by douglas hofstadter, in his article, series, and book metamagical themas. â reprinted in:  superrationality is a form of immanuel kant's categorical imperative. ==prisoner's dilemma== the idea of superrationality is that two logical thinkers analyzing the same problem will think of the same correct answer. for example, if two people who are both good at math and both have been given the same complicated problem to do, both will get the same right answer. in math, knowing that the two answers are going to be the same doesn't change the value of the problem, but in game theory, knowing that the answer will be the same might change the answer itself. the prisoner's dilemma is usually framed in terms of jail sentences for criminals, but it can be stated equally well with cash prizes instead. two players are each given the choice to cooperate (c) or to defect (d). the players choose without knowing what the other is going to do. if both cooperate, each will get $100. if they both defect, they each get $1. if one cooperates and the other defects, then the defecting player gets $101, while the cooperating player gets nothing. the four outcomes and the payoff to each player are listed below {| class="wikitable" |- ! !! player b cooperates !! player b defects |- ! player a cooperates | both get $100|| player a: $0 player b: $101 |- ! player a defects | player a: $101 player b: $0 || both get $1 |} one valid way for the players to reason is as follows: # assuming the other player defects, if i cooperate i get nothing and if i defect i get a dollar. # assuming the other player cooperates, i get $100 if i cooperate and $101 if i defect. # so whatever the other player does, my payoff is increased by defec
Game_theory Philosophical_concepts