Stochastic Replicator Dynamics

This article studies the replicator dynamics in the presence of shocks. I show that under these dynamics, strategics that do not survive the iterated deletion of strictly dominated strategies are eliminated in the long run, even in the presence of nonvanishing perturbations. I also give an example that shows that the stochastic dynamics in this article have equilibrium selection properties that differ from other dynamics in the literature.Publicad