60413 20251113150201.0 doi 10.1103/PhysRevE.94.062315 sideral 97823 ART-2016-97823 eng Aleta, A. Universidad de Zaragoza (orcid)0000-0002-1192-8707 From degree-correlated to payoff-correlated activity for an optimal resolution of social dilemmas 2016 Access copy available to the general public Unrestricted An active participation of players in evolutionary games depends on several factors, ranging from personal stakes to the properties of the interaction network. Diverse activity patterns thus have to be taken into account when studying the evolution of cooperation in social dilemmas. Here we study the weak prisoner''s dilemma game, where the activity of each player is determined in a probabilistic manner either by its degree or by its payoff. While degree-correlated activity introduces cascading failures of cooperation that are particularly severe on scale-free networks with frequently inactive hubs, payoff-correlated activity provides a more nuanced activity profile, which ultimately hinders systemic breakdowns of cooperation. To determine optimal conditions for the evolution of cooperation, we introduce an exponential decay to payoff-correlated activity that determines how fast the activity of a player returns to its default state. We show that there exists an intermediate decay rate at which the resolution of the social dilemma is optimal. This can be explained by the emerging activity patterns of players, where the inactivity of hubs is compensated effectively by the increased activity of average-degree players, who through their collective influence in the network sustain a higher level of cooperation. The sudden drops in the fraction of cooperators observed with degree-correlated activity therefore vanish, and so does the need for the lengthy spatiotemporal reorganization of compact cooperative clusters. The absence of such asymmetric dynamic instabilities thus leads to an optimal resolution of social dilemmas, especially when the conditions for the evolution of cooperation are strongly adverse. info:eu-repo/grantAgreement/EC/FP7/317532/EU/Foundational Research on MULTIlevel comPLEX networks and systems/MULTIPLEX info:eu-repo/grantAgreement/ES/MINECO/FIS2014-55867-P info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 2.366 2016 PHYSICS, MATHEMATICAL 6 / 55 = 0.109 2016 Q1 T1 PHYSICS, FLUIDS & PLASMAS 10 / 30 = 0.333 2016 Q2 T2 1.27 2016 Condensed Matter Physics 2016 Q1 Statistics and Probability 2016 Q1 Statistical and Nonlinear Physics 2016 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Meloni, S. Perc, M. Moreno, Y. Universidad de Zaragoza (orcid)0000-0002-0895-1893 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 94, 6 (2016), 062315 [8 pp.] Phys. rev., E Physical Review E 2470-0045 2970951 http://zaguan.unizar.es/record/60413/files/texto_completo.pdf Versión publicada 133818 http://zaguan.unizar.es/record/60413/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:60413 articulos driver 2025-11-13-15:00:35 ARTICLE