Emergence of synchronization induced by the interplay between two prisoner’s dilemma games with volunteering in small-world networks

2007/08/31 by Yong Chen, Shao-Meng Qin, Lianchun Yu +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Nonlinear Dynamics and Pattern Formation #physics.soc-ph

paper · pdf · doi:10.1103/physreve.77.032103

published as Phys. Rev. E 77, 032103 (2008) · 6 pages, 4 figures

openalex publication_date 2008/03/25 · arxiv created 2008/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We studied synchronization between prisoner's dilemma games with voluntary participation in two Newman-Watts small-world networks. It was found that there are three kinds of synchronization: partial phase synchronization, total phase synchronization, and complete synchronization, for varied coupling factors. Besides, two games can reach complete synchronization for the large enough coupling factor. We also discussed the effect of the coupling factor on the amplitude of oscillation of cooperator density.

Citations

• Game theory and physics
• Evolutionary games on graphs
• Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities
• THE SPATIAL DILEMMAS OF EVOLUTION
• The Evolution of Cooperation
• Non-Cooperative Games