Dynamic fractals in spatial evolutionary games
Physics and Society
2018-03-22 v1 Statistical Mechanics
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.
Cite
@article{arxiv.1711.03922,
title = {Dynamic fractals in spatial evolutionary games},
author = {Sergei Kolotev and Aleksandr Malyutin and Evgeni Burovski and Sergei Krashakov and Lev Shchur},
journal= {arXiv preprint arXiv:1711.03922},
year = {2018}
}
Comments
5 pages, 4 figures