Studies on dynamics in the classical iterated prisoner's dilemma with few strategies is there any chaos in the pure dilemma ?

Abstract

In this paper we study Classical Iterated Prisoner's Dilemma (CIPD) dynamics of pure strategies in a discrete and determinist simu-lation context. We show that, in some very rare cases, they are not quiet and ordered. We propose a classification of ecological evolutions into categories which represent complex dynamics, such as oscillatory movements. We also show that those simulations are very sensitive to initial conditions. These experimentations could call into question classical conclusions about interest of cooperation between entities playing CIPD. They may be used to explain why it is not true that cooperation is always the convergent phenomenon observed in life.