title: Evolutionary dynamics of group interactions on structured populations: a review.
abstract: Interactions among living organisms, from bacteria colonies to human societies, are inherently more complex than interactions among particles and non-living matter. Group interactions are a particularly important and widespread class, representative of which is the public goods game. In addition, methods of statistical physics have proved valuable for studying pattern formation, equilibrium selection and self-organization in evolutionary games. Here, we review recent advances in the study of evolutionary dynamics of group interactions on top of structured populations, including lattices, complex networks and coevolutionary models. We also compare these results with those obtained on well-mixed populations. The review particularly highlights that the study of the dynamics of group interactions, like several other important equilibrium and non-equilibrium dynamical processes in biological, economical and social sciences, benefits from the synergy between statistical physics, network science and evolutionary game theory.
authors.affiliation: University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia. matjaz.perc@uni-mb.si
authors.forename: Matjaz
authors.initials: M
authors.lastname: Perc
authors.forename: Jesús
authors.initials: J
authors.lastname: Gómez-Gardeñes
authors.forename: Attila
authors.initials: A
authors.lastname: Szolnoki
authors.forename: Luis M
authors.initials: LM
authors.lastname: Floría
authors.forename: Yamir
authors.initials: Y
authors.lastname: Moreno
mesh_terms: D000818:Animals; D018407:Bacterial Physiological Phenomena; D005075:Biological Evolution; D006801:Humans; D008954:Models, Biological