The Trembling Hand Approach to Automata in Iterated Games

Abstract

We consider two state automata playing infinitely iterated two players, two strategies game, where each move can be mis-implemented (or mis-perceived) with a small error probability, and compute the payoff matrix by means of a perturbation approach.

Keywords: Alternating Prisoner's Dilemma, Perturbed Payoff, Repeated Games, Simultaneous Prisoner's Dilemma.