THE HISTORIC–STOCHASTIC STRATEGIST

Abstract

The basic aim of this paper is to extend earlier work on assessing the effect of considering previous results (history) in the evolutionary dynamics of the spatial formulation of the Prisoner's Dilemma when players follow one-dimensional strategies. The historic strategist models considered before were deterministic, so the choices were fixed by the strategies in an automatic way. In the present work the strategies do not fix the choices but their probabilities. Both synchronous and asynchronous updating schemes have been taken into account. It is concluded here that the essential results found in the deterministic scenario remain valid in a probabilistic context: historic memory tends to favor the main features of the initial scenario.