| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7375731 | Physica A: Statistical Mechanics and its Applications | 2018 | 6 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Sergei Kolotev, Aleksandr Malyutin, Evgeni Burovski, Sergei Krashakov, Lev Shchur,