Evolutionary dynamics of group interactions on structured populations: a review

Journal of the Royal Society Interface - Tập 10 Số 80 - Trang 20120997 - 2013
Matjaž Perc1, Jesús Gómez‐Gardeñes2,3, Attila Szolnoki4, L. M. Florı́a2,3, Yamir Moreno5,6,3
1Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia
2Department of Condensed Matter Physics, University of Zaragoza, 50009, Zaragoza, Spain
3Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, 50018 Zaragoza, Spain
4Institute of Technical Physics and Materials Science, Research Centre for Natural Sciences, Hungarian Academy of Sciences, PO Box 49, 1525 Budapest, Hungary
5Complex Networks and Systems Lagrange Laboratory, Institute for Scientific Interchange, Viale S. Severo 65, 10133 Torino, Italy
6Department of Theoretical Physics, University of Zaragoza, 50009, Zaragoza, Spain

Tóm tắt

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.

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