Study on Cooperative Evolution Behaviors in Spatial Public Goods Game Based on Self-Questioning Mechanism

Article Preview

Abstract:

We introduce a self-questioning mechanism under spatial public goods game in the framework of Evolutionary Game Theory where players are located on a square lattice and realize it by a intensity parameter a. By stimulation and analysis, we find that compared with the original Fermi updating (a=0), the introduction of the self-questioning (a>0) can be better promote cooperative behavior at the smaller r. Subsequently, we stimulate in self-questioning mechanism (a=1), the cooperator frequency fc as a function of the factor r for different values of noise K. Results show that at the larger and smaller noise K, the system presents a considerably different cooperation phenomenon. Whats more, fc as a function of r has center symmetry nature about point (5.0, 0.5) whatever the noise K is. Further analysis indicates the reasons for the formation of these phenomena. Finally, we report the agents average payoff in the steady state and its reasons for it.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1783-1787

Citation:

Online since:

August 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] A.M. Colman, Game Theory and its Applications in the Social and Biological Sciences (Butterworth-Heinemann, Oxford, England, 1995).

Google Scholar

[2] J.M. Smith, Evolution and the Theory of Games (Cambridge University Press, Cambridge, England, 1982).

Google Scholar

[3] H. Gintis, Game Theory Evolving (Princeton University Press, Princeton, NJ, 2000).

Google Scholar

[4] R. Axelrod and W. D, Hamilton, The evolution of cooperation, Science 211, pp.1390-1396, (1981).

Google Scholar

[5] G. Szabo and G. Fath, Evolutionary games on graphs, Phys. Rep. 446, pp.97-216, (2007).

Google Scholar

[6] D.L. Lu, H.B. Zhang, J. Ge, C. Xu, Cooperative enhancement of cost threshold in the spatial N-person snowdrift games. CHIN. PHYS. LETT. Vol. 29, No. 8, 088901(2012).

DOI: 10.1088/0256-307x/29/8/088901

Google Scholar

[7] C. Hauert and G. Szabo, Prisoner's dilemma and public goods games in different geometrics: compulsory versus voluntary interactions, Complexity 8, pp.31-38, (2003).

DOI: 10.1002/cplx.10092

Google Scholar

[8] H.F. Zhang, D.M. Shi, R.R. Liu, B.H. Wang, Dynamic allocation of investments promotes cooperation in spatial public goods game, Physica A 391, p.2617–2622, (2012).

DOI: 10.1016/j.physa.2011.12.005

Google Scholar

[9] M. A. Nowak, R. M. May. Evolutionary games and spatial chaos. Nature 359, p.826 – 829, (1992).

DOI: 10.1038/359826a0

Google Scholar

[10] C. Hauert, M. Doebi. Spatial structure often inhibits the evolution of cooperation in the snowdrift games. Nature 428, pp.643-646, (2004).

DOI: 10.1038/nature02360

Google Scholar

[11] K.H. Schlag, Which one should I imitate? J. Math. Econ 31, pp.493-522, (1999).

Google Scholar

[12] M.A. Nowak and K. Sigmund, Evolutionary dynamics of biological games, Science 303, pp.793-799, (2004).

DOI: 10.1126/science.1093411

Google Scholar

[13] M. Ji, C. Xu, Cooperation behavior in the evolutionary snowdrift game. Journal of Soochow Univ. (Nature Science edition) , 26(1), PP. 57-60, (2010).

Google Scholar

[14] F.C. Santos, M.D. Santos and J.M. Pacheco, Social diversity promotes the emergence of cooperation in public goods games Nature (London) 454, pp.213-216, (2008).

DOI: 10.1038/nature06940

Google Scholar

[15] D. M. Shi, Y. Zhuang and B.H. Wang, Effect of depreciation of the public goods in spatial public goods games, Physica A 391, pp.1636-1641, (2012).

DOI: 10.1016/j.physa.2011.10.006

Google Scholar