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Applied network science
2018;3 (1): 29.

Replicator equation on networks with degree regular communities.

Daniele Cassese
Author Information
  1. Daniele Cassese: 1Department of Mathematics, University of Namur, NaXys, Rempart de la Vierge 8, Namur, Belgium. ORCID
PMID: 30839808 DOI: 10.1007/s41109-018-0083-2

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

Coordination Evolutionary graph theory Hawk-Dove Prisoner’s dilemma Replicator equation

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Journal Article
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