Dynamic fractals in spatial evolutionary games

Sergei Kolotev, Aleksandr Malyutin, Evgeni Burovski, Sergei Krashakov and Lev Shchur

Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, issue C, 142-147

Abstract: We investigate critical properties of a spatial evolutionary game based on the Prisoner’s Dilemma. Simulations demonstrate a jump in the component densities accompanied by drastic changes in average sizes of the component clusters. We argue that the cluster boundary is a random fractal. Our simulations are consistent with the fractal dimension of the boundary being equal to 2, and the cluster boundaries are hence asymptotically space filling as the system size increases.

Keywords: Cluster interface; Spatial games; Dynamic fractals; Prisoner’s Dilemma (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:499:y:2018:i:c:p:142-147

DOI: 10.1016/j.physa.2018.02.007

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