Theory of Collective Dynamics in Multi-Agent Complex Adaptive Systems

We discuss a crowd-based theory for describing the collective behavior in Complex Adaptive Systems comprising multi-agent populations competing for a limited resource. These systems -- whose binary versions we refer to as B-A-R (Binary Agent Resource) systems -- have a dynamical evolution which is determined by the aggregate action of the heterogeneous, adaptive agent population. Accounting for the strong correlations between agents’ strategies, yields an accurate analytic description of the system’s dynamics.