Effect of the degree correlation in public goods game on scale-free networksZhihai Rong1 and Zhi-Xi Wu2
1 Department of Automation, Donghua University - Shanghai 201620, PRC
2 Department of Physics, Umeå University - 90187 Umeå Sweden, EU
received 31 March 2009; accepted in final form 21 July 2009; published August 2009
published online 20 August 2009
We study the influence of degree correlation on the evolution of cooperation in the networked public goods game (PGG). With the aid of the analysis of the PGG on a double-star graph, we are able to investigate intuitively how the degree mixing patterns affect the transformation of individuals' strategies. We find that the assortative mixing among the individuals inhibits the emergence and sustainment of the cooperation, due to fact that the distinct core-periphery structure present in the assortative networks disable the hubs's ability to impact those remote leaf-vertices, and as a result the defection is easy to diffuse among them. In the disassortative networks, however, we observe that the absence of communication among the hubs cause them to almost keep their initial strategies, which is helpful for cooperators to persist in the case of very low multiplication factor of the PGG.
02.50.Le - Decision theory and game theory.
89.75.Fb - Structures and organization in complex systems.
87.23.Ge - Dynamics of social systems.
© EPLA 2009