Evolutionary games combining two or three pair coordinations on a square lattice

Balázs Király and György Szabó
Phys. Rev. E 96, 042101 – Published 2 October 2017

Abstract

We study multiagent logit-rule-driven evolutionary games on a square lattice whose pair interactions are composed of a maximal number of nonoverlapping elementary coordination games describing Ising-type interactions between just two of the available strategies. Using Monte Carlo simulations we investigate the macroscopic noise-level-dependent behavior of the two- and three-pair games and the critical properties of the continuous phase transtitions these systems exhibit. The four-strategy game is shown to be equivalent to a system that consists of two independent and identical Ising models.

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  • Received 2 July 2017

DOI:https://doi.org/10.1103/PhysRevE.96.042101

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Balázs Király1 and György Szabó2

  • 1Budapest University of Technology and Economics, Budafoki út 8, H-1111 Budapest, Hungary
  • 2Institute of Technical Physics and Materials Science, Centre for Energy Research, Hungarian Academy of Sciences, P. O. Box 49, H-1525 Budapest, Hungary

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Issue

Vol. 96, Iss. 4 — October 2017

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