Cooperation in N-person evolutionary snowdrift game in scale-free Barabási–Albert networks

K.H. Lee, Chun-Him Chan, P.M. Hui and Da-Fang Zheng

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 22, 5602-5608

Abstract: Cooperation in the N-person evolutionary snowdrift game (NESG) is studied in scale-free Barabási–Albert (BA) networks. Due to the inhomogeneity of the network, two versions of NESG are proposed and studied. In a model where the size of the competing group varies from agent to agent, the fraction of cooperators drops as a function of the payoff parameter. The networking effect is studied via the fraction of cooperative agents for nodes with a particular degree. For small payoff parameters, it is found that the small-k agents are dominantly cooperators, while large-k agents are of non-cooperators. Studying the spatial correlation reveals that cooperative agents will avoid to be nearest neighbors and the correlation disappears beyond the next-nearest neighbors. The behavior can be explained in terms of the networking effect and payoffs. In another model with a fixed size of competing groups, the fraction of cooperators could show a non-monotonic behavior in the regime of small payoff parameters. This non-trivial behavior is found to be a combined effect of the many agents with the smallest degree in the BA network and the increasing fraction of cooperators among these agents with the payoff for small payoffs.

Keywords: N-person snowdrift game; Scale-free networks; Networking effect (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:22:p:5602-5608

DOI: 10.1016/j.physa.2008.05.045

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