Synchronization in evolving snowdrift game model
School of Physical Science and Technology, Suzhou University, Suzhou, Jiangsu, 215006, P.R. China
Revised: 12 March 2009
Published online: 16 May 2009
The interaction between the evolution of the game and the underlying network structure with evolving snowdrift game model is investigated. The constructed network follows a power-law degree distribution typically showing scale-free feature. The topological features of average path length, clustering coefficient, degree-degree correlations and the dynamical feature of synchronizability are studied. The synchronizability of the constructed networks changes by the interaction. It will converge to a certain value when sufficient new nodes are added. It is found that initial payoffs of nodes greatly affect the synchronizability. When initial payoffs for players are equal, low common initial payoffs may lead to more heterogeneity of the network and good synchronizability. When initial payoffs follow certain distributions, better synchronizability is obtained compared to equal initial payoff. The result is also true for phase synchronization of nonidentical oscillators.
PACS: 89.75.Da – Systems obeying scaling laws / 89.75.Fb – Structures and organization in complex systems / 89.20.Hh – World Wide Web, Internet
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009