SELF-ORGANIZED CRITICALITY IN SPATIAL EVOLUTIONARY GAME-THEORY

Self-organized criticality is an important framework for understanding the emergence of scale-free natural phenomena. Cellular automata prov ide simple interesting models in which to study self-organized critica lity. We consider the dynamics of a new class of cellular automata whi ch are constructed as natural spatial extensions of evolutionary game theory. This construction yields a discrete one-parameter family of ce llular automata. We show that there is a range of parameter values for which this system exhibits complex dynamics with long range correlati ons between states in both time and space. In this region the dynamics evolve to a self-organized critical state in which structures exist o n all time and length scales, and the relevant statistical measures ha ve power law behaviour. (C) 1998 Academic Press Limited.