English

Replicator equation on networks with degree regular communities

Populations and Evolution 2019-01-09 v2 Physics and Society

Abstract

The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a family of connected networks with communities, where nodes in the same community have the same degree. This replicator equation is applied to the study of different classes of games, exploring the impact of the graph structure on the equilibria of the evolutionary dynamics.

Keywords

Cite

@article{arxiv.1803.09146,
  title  = {Replicator equation on networks with degree regular communities},
  author = {Daniele Cassese},
  journal= {arXiv preprint arXiv:1803.09146},
  year   = {2019}
}

Comments

18 pages, 8 figures

R2 v1 2026-06-23T01:04:00.659Z