Jia, Wu; Ding, Lixin; Fan, Wentao Evolutionary dynamics of the Cournot game model on small-world networks. (English) Zbl 1177.91046 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 3-4, 489-496 (2006). Summary: A model of learning on small-world networks is built in the context of Cournot oligopoly. The difference in the evolutionary dynamics of the model for different rewiring probabilities of the networks is analyzed. Some expressions for the evolutionary rules are presented. Simulation results supporting cooperations among firms are obtained and the \(R_0\)-return time of the pre-equilibrium state of the model is explored, which exhibits distinctive dynamical behaviors of the model on small-world networks. Some variants to this model are also considered and their dynamical behaviors are compared. MSC: 91A22 Evolutionary games 93A30 Mathematical modelling of systems (MSC2010) 91C99 Social and behavioral sciences: general topics Keywords:Cournot duopoly game; return time; cooperative equilibrium; mutation; pre-equilibrium state PDFBibTeX XMLCite \textit{W. Jia} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 3--4, 489--496 (2006; Zbl 1177.91046)