Abstract
In this paper, we study the evolutionary snowdrift game on a growing complex network with acceleratingly increasing number of nodes. In this growing network, the number of nodes added at each time step is a function c×n(t), where n(t) is the number of nodes present at time t and c is a tunable parameter. The evolutionary SG plays with a preferential selection probability proportional to exp[(U j /k j )*A] and a new strategy updating probability H i → j = 1/(1 + exp[(U i /k i − U j /k j )/k]) , where U i denotes the total payoff of player i , k i denotes the degree of i, A and k are tunable parameters. It is shown that the cooperation frequency depends only on the payoff parameter r, it is much enhanced in the range of small payoff parameters, but descends straightly with the parameter r increasing, and it has nothing to do with the parameter c and A with this mechanism.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hammerstein, P.: Genetic and Cultural Evolution of Cooperation. MIT, Cambridge (2003)
Maynard Smith, J.: Evolution and the Theory of Games. Cambridge University Press, Cambridge (1982)
Gintis, H.: Game Theory Evolving. Princeton University, Princeton (2000)
Nowak, M., Sigmud, K.: Tit-for-tat in heterogeneous populations. Nature (London) 355, 250–253 (1992)
Santos, F.C., Pacheco, J.M.: Scale-Free networks provide a unifying framework for the emergence of cooperation. Phys. Rev. E 95, 098104 (2005)
Hauert, C., Doebeli, M.: Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature (London) 428, 643–646 (2004)
Sugden, R.: The Economics of Rights, Cooperation and Welfare. Blackwell, Oxford (1986)
Du, W.-B., Cao, X.-B., Zhao, L., Hu, M.-B.: Evolutionary games on scale-free networks with a preferential selection mechanism. Phys. A 388, 4509–4514 (2009)
Zhang, M.F., Wang, B.H., Wang, W.X.: Randomness Effect on Cooperation in Memory-Based Snowdrif Game. Chin. Phys. Lett. 4, 1494–1497 (2008)
Wang, W.X., Ren, J., Chen, G.R., Wang, B.H.: Memory-based snowdrift game on networks. Phys. Rev. E 74, 056113 (2006)
Ni, Y.C., Xu, C., Hui, P.M., Johnson, N.F.: Cooperative behavior in evolutionary snowdrift game with bounded rationality. Phys. A 388, 4856–4862 (2009)
Barabási, A.-L., Albert, R.: Emergence of Scaling in Random Networks. Science 286, 509–512 (1999)
Li, J., Wang, B.H., Jiang, P.Q., Zhou, T., Wang, W.X.: Growing complex network model with acceleratingly increasing number of nodes. Chin. Phys. Soc 8, 4051–4056 (2006)
Shi, D.M., Yang, H.X., Hu, M.B., Du, W.B., Wang, B.H.: Preferential selection promotes cooperation in a spatial public goods game. Phys. A 388, 4646–4650 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zeng, Q., Yang, H., Wang, H. (2012). Cooperative Behavior in Evolutionary Snowdrift Game on a Growing Complex Network. In: Zhang, T. (eds) Instrumentation, Measurement, Circuits and Systems. Advances in Intelligent and Soft Computing, vol 127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27334-6_39
Download citation
DOI: https://doi.org/10.1007/978-3-642-27334-6_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27333-9
Online ISBN: 978-3-642-27334-6
eBook Packages: EngineeringEngineering (R0)