TY - JOUR

T1 - A model-to-model analysis of the repeated prisoners' dilemma: Genetic algorithms vs. evolutionary dynamics

AU - Vilà, Xavier

PY - 2009/12/1

Y1 - 2009/12/1

N2 - We study the properties of the well known Replicator Dynamics when applied to a finitely repeated version of the Prisoners' Dilemma game. We characterize the behavior of such dynamics under strongly simplifying assumptions (i.e. only 3 strategies are available) and show that the basin of attraction of defection shrinks as the number of repetitions increases. After discussing the difficulties involved in trying to relax the "strongly simplifying assumptions" bove, we approach the same model by means of simulations based on genetic algorithms. The resulting simulations describe a behavior of the system very close to the one predicted by the replicator dynamics without imposing any of the assumptions of the analytical model. Our main conclusion is that analytical and computational models are good complements for research in social sciences. Indeed, while on the one hand computational models are extremely useful to extend the scope of the analysis to complex scenarios hard to analyze mathematically, on the other hand formal models can be extremely useful to verify and to explain the outcomes of computational models. © Springer-Verlag Berlin Heidelberg 2009.

AB - We study the properties of the well known Replicator Dynamics when applied to a finitely repeated version of the Prisoners' Dilemma game. We characterize the behavior of such dynamics under strongly simplifying assumptions (i.e. only 3 strategies are available) and show that the basin of attraction of defection shrinks as the number of repetitions increases. After discussing the difficulties involved in trying to relax the "strongly simplifying assumptions" bove, we approach the same model by means of simulations based on genetic algorithms. The resulting simulations describe a behavior of the system very close to the one predicted by the replicator dynamics without imposing any of the assumptions of the analytical model. Our main conclusion is that analytical and computational models are good complements for research in social sciences. Indeed, while on the one hand computational models are extremely useful to extend the scope of the analysis to complex scenarios hard to analyze mathematically, on the other hand formal models can be extremely useful to verify and to explain the outcomes of computational models. © Springer-Verlag Berlin Heidelberg 2009.

U2 - 10.1007/978-3-642-02956-1_19

DO - 10.1007/978-3-642-02956-1_19

M3 - Article

VL - 631

SP - 237

EP - 244

JO - Lecture Notes in Economics and Mathematical Systems

JF - Lecture Notes in Economics and Mathematical Systems

SN - 0075-8442

ER -