Self-organized criticality in spatial evolutionary game theory.

T Killingback; M Doebeli

doi:10.1006/jtbi.1997.0602

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Self-organized criticality in spatial evolutionary game theory.

T Killingback·M Doebeli

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Abstract

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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T Killingback, M Doebeli. 1998-04-07. Self-organized criticality in spatial evolutionary game theory.. https://doi.org/10.1006/jtbi.1997.0602

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