In this paper, we inspect well-known population genetics and social dynamics models, interacting individuals, while participating in self-organizing process, give rise to the emergence of complexe behaviors and patterns. While one main focus in population genetics is on the adaptive behavior of...

This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro description of the process, we show how the corresponding macro description is obtained by a...