Europhys. Lett.
Volume 75, Number 6, September 2006
Page(s) 841 - 846
Section General
Published online 23 August 2006
Europhys. Lett., 75 (6), pp. 841-846 (2006)
DOI: 10.1209/epl/i2006-10217-3

Chaos promotes cooperation in the spatial prisoner's dilemma game

M. Perc

Department of Physics, Faculty of Education, University of Maribor Koroska cesta 160, SI-2000 Maribor, Slovenia

received 29 May 2006; accepted in final form 31 July 2006
published online 23 August 2006

We introduce chaotic variations, modelled by a spatially extended Lorenz system, to the payoffs of the spatial prisoner's dilemma game and study their effects on the evolution of cooperation. We show that chaotic variations of appropriate amplitude promote cooperation over a wide range of payoff parameters at which defection is the only strategy in a sterile environment. An appropriately pronounced chaotic environment can assure permanent domination of cooperation by full anonymity of players and without the aid of secondary strategies, thus designating chaotic payoff variations as a general and stand-alone mechanism for cooperation in the spatial prisoner's dilemma game.

02.50.Le - Decision theory and game theory.
05.45.-a - Nonlinear dynamics and chaos.
87.23.-n - Ecology and evolution.

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