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.
Killingback1998 - Self-organized Criticality in Spatial Evolutionary Game Theory.pdf:Evolutionary Game Theory/Killingback1998 - Self-organized Criticality in Spatial Evolutionary Game Theory.pdf:PDF
%0 Journal Article
%1 Killingback1998
%A Killingback, Timothy
%A Doebeli, Michael
%D 1998
%J J. Theor. Biol.
%K game-theory criticality self-organization soc evolution
%N 3
%P 335--340
%R 10.1006/jtbi.1997.0602
%T Self-organized Criticality in Spatial Evolutionary Game Theory
%V 191
%X 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.
@article{Killingback1998,
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.},
added-at = {2011-01-13T13:26:03.000+0100},
author = {Killingback, Timothy and Doebeli, Michael},
biburl = {https://www.bibsonomy.org/bibtex/25b3b816aacc99d00e8fa114c2874fb32/rincedd},
doi = {10.1006/jtbi.1997.0602},
file = {Killingback1998 - Self-organized Criticality in Spatial Evolutionary Game Theory.pdf:Evolutionary Game Theory/Killingback1998 - Self-organized Criticality in Spatial Evolutionary Game Theory.pdf:PDF},
interhash = {24eec341db90ae45068287ef36097f4c},
intrahash = {5b3b816aacc99d00e8fa114c2874fb32},
issn = {0022-5193},
journal = {J. Theor. Biol.},
keywords = {game-theory criticality self-organization soc evolution},
number = 3,
pages = {335--340},
timestamp = {2011-01-13T13:26:03.000+0100},
title = {Self-organized Criticality in Spatial Evolutionary Game Theory},
volume = 191,
year = 1998
}