On the geometric structures in evolutionary games on square and triangular lattices
Physics and Society
2020-01-08 v1 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.1811.08784,
title = {On the geometric structures in evolutionary games on square and triangular lattices},
author = {Evgeni Burovski and Aleksandr Malyutin and Lev Shchur},
journal= {arXiv preprint arXiv:1811.08784},
year = {2020}
}