The Prisoner’s Dilemma and its Evolutionary Iteration

摘要: The logicians of the Middle Ages called paradoxes “insolubilia” — unsolvable problems for rational —, and some they were right. If, example, we define an egoist as being a non-altruist altruist non-egoist, run into paradoxical situation when have to explain how egoists (non-altruists) can behave altruistically. This is in nuce paradox Prisoner’s Dilemma. But what happens if repeat or ‘iterate’ such situation? Jourdain’s iterated card illustrative example. “On face side there written true statement.” However, you turn over will appear words: other this false statement”. If rely on common sense our logic suppose that statement front true, then back must be too; but, consequence supposing later which call proof by reductio ad absurdum now false! assume false, too, hence true! Thus it rationally connects statements both sides makes truth dependent falsehood etc., infinitum. As Hofstadter (1978: 78) would say, are trapped Moebius strip Escher staircase (Kreuzer, 1986).