Eco-grammars to model biological systems: Adding probabilities to agents

Abstract

The aim of this paper is to define probabilistic Eco-grammar systems and some of their applications in the field of evolutionary biology. A probabilistic Eco-grammar system is composed of agents that select the rules of internal growth as well as the action rules according to distributions of probability. The environment is 0L probabilistic. Our interest is centered in the study of the normalized populations of symbols obtained along a derivation. In this paper we show that the probabilistic approach applied to Eco-grammar systems allows to model the evolutionary stable strategies of Maynard Smith.