87625 20200716101548.0 doi 10.1103/PhysRevE.100.052307 sideral 115854 ART-2019-115854 eng Artiges, Emmanuel Replicator population dynamics of group interactions: Broken symmetry, thresholds for metastability, and macroscopic behavior 2019 Access copy available to the general public Unrestricted The effect of group structure on cooperative behavior is not well understood. In this paper, we study the dynamics of a public goods game involving n-agent interactions. In the proposed setup, the population is organized into groups. We associate the individual fitness to group performance, while the evolutionary dynamics takes place globally. We derive analytical expressions and show that the model exhibits several fixed points, including the symmetric homogeneous states of total cooperation and total defection, which are unstable and stable, respectively. Interestingly, even if both individual and group levels are organized as well-mixed populations, the dynamics displays intermediate values of cooperation under the replicator dynamics. Namely, as soon as one of the groups, at least, is fully cooperative, intermediary fixed points appear for the rest of the groups. In addition to the analytical approach, we have performed numerical simulations that reproduce the internal fixed points obtained theoretically, showing coexisting intermediate levels of cooperation. Potential implications of these results in terms of group selection and the role of social norms are also discussed. info:eu-repo/grantAgreement/ES/DGA/E36-17R info:eu-repo/grantAgreement/ES/MINECO/FIS2017-87519-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.296 2019 PHYSICS, MATHEMATICAL 9 / 55 = 0.164 2019 Q1 T1 PHYSICS, FLUIDS & PLASMAS 13 / 34 = 0.382 2019 Q2 T2 0.958 2019 Condensed Matter Physics 2019 Q1 Statistical and Nonlinear Physics 2019 Q1 Statistics and Probability 2019 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-9769-8796 Gracia-Lázaro, Carlos Universidad de Zaragoza (orcid)0000-0002-1406-8810 Floría, Luis Mario Universidad de Zaragoza (orcid)0000-0002-0895-1893 Moreno, Yamir Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 100, 5 (2019), 052307 1-10 Phys. rev., E PHYSICAL REVIEW E 2470-0045 639587 http://zaguan.unizar.es/record/87625/files/texto_completo.pdf Versión publicada 17769 http://zaguan.unizar.es/record/87625/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:87625 articulos driver 2020-07-16-09:44:13 ARTICLE