Volume 93, Number 4, February 2011
|Number of page(s)||6|
|Published online||22 February 2011|
Impact of link deletions on public cooperation in scale-free networks
College of Physics and Technology, Guangxi Normal University - Guilin, Guangxi, China
2 School of Electrical, Computer and Energy Engineering, Arizona State University - Tempe, AZ, USA
3 Department of Modern Physics, University of Science and Technology of China - Hefei, China
4 Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor - Maribor, Slovenia, EU
5 Department of Physics, Arizona State University - Tempe, AZ, USA
6 Research Center for Complex System Science, University of Shanghai for Science and Technology - Shanghai, China
7 Shanghai Academy of System Science - Shanghai, China
Accepted: 24 January 2011
Working together in groups may be beneficial if compared to isolated efforts. Yet this is true only if all group members contribute to the success. If not, group efforts may act detrimentally on the fitness of their members. Here we study the evolution of cooperation in public-goods games on scale-free networks that are subject to deletion of links connected to the highest-degree individuals, i.e., on network that are under attack. We focus on the case where all groups a player belongs to are considered for the determination of payoffs; the so-called multi-group public-goods games. We find that the effect of link deletions on the evolution of cooperation is predominantly detrimental, although there exist regions of the multiplication factor where the existence of an “optimal” number of removed links for the deterioration of cooperation can also be demonstrated. The findings are explained by means of wealth distributions and analytical approximations, confirming that socially diverse states are crucial for the successful evolution of cooperation.
PACS: 02.50.Le – Decision theory and game theory / 89.75.Hc – Networks and genealogical trees / 87.23.Ge – Dynamics of social systems
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.