arXiv subjects

Aleksandr Malyutin

Publications and source records attributed to Aleksandr Malyutin.

2 recordsLinked to original sources

arXiv2018

On the geometric structures in evolutionary games on square and triangular lattices

We study a model of a spatial evolutionary game, based on the Prisoner's dilemma for two regular arrangements of players, on a square lattice and on a triangular lattice. We analyze steady state distributions of players which evolve from irregular, random initial configurations. We find significant differences between the square and triangular lattice, and we characterize the geometric structures which emerge on the triangular lattice.

physics.soc-ph↗

arXiv2017

Dynamic fractals in spatial evolutionary games

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.

physics.soc-ph↗