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Self-organized Criticality in Spatial Evolutionary Game Theory

✍ Scribed by Timothy Killingback; Michael Doebeli

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 211 KB
Volume: 191
Category: Article
ISSN: 0022-5193
DOI: 10.1006/jtbi.1997.0602

No coin nor oath required. For personal study only.

✦ Synopsis

Self-organized criticality is an important framework for understanding the emergence of scale-free natural phenomena. Cellular automata provide simple interesting models in which to study self-organized criticality. We consider the dynamics of a new class of cellular automata which are constructed as natural spatial extensions of evolutionary game theory. This construction yields a discrete one-parameter family of cellular automata. We show that there is a range of parameter values for which this system exhibits complex dynamics with long range correlations between states in both time and space. In this region the dynamics evolve to a self-organized critical state in which structures exist on all time and length scales, and the relevant statistical measures have power law behaviour.

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