Volume 75, Number 6, September 2006
|Page(s)||841 - 846|
|Published online||23 August 2006|
Chaos promotes cooperation in the spatial prisoner's dilemma game
Department of Physics, Faculty of Education, University of Maribor Koroška cesta 160, SI-2000 Maribor, Slovenia
Accepted: 31 July 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.
PACS: 02.50.Le – Decision theory and game theory / 05.45.-a – Nonlinear dynamics and chaos / 87.23.-n – Ecology and evolution
© EDP Sciences, 2006
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