Advertisement

The impact of neutral reward on cooperation in public good game

  • Chunpeng Du
  • Danyang Jia
  • Libin Jin
  • Lei Shi
Regular Article

Abstract

The free-rider behavior is widespread in the system, which will not only lead to social dilemma, and even make the entire system collapse. In order to overcome this complex problem, scientists have done a strenuous endeavor. The public goods game is significant for the study of cooperative behavior among complex interactive social system. And much attention has been paid to the proposal of reward and punishment system. Although people always want to reward cooperative behavior in many cases, antisocial behavior is also common in complex human and biological communities, and free-riders may be rewarded, especially without their information. Therefore, we study the public good game with neutral reward in order to explore the evolution of cooperation. In our public good game, individuals with a few strategies reward other individuals with most strategies in a same group, and the dominant players will receive a fixed bonus provide by other vulnerable players. We show that increasing the bonus will directly promote cooperation and resolve the social dilemma.

Keywords

Statistical and Nonlinear Physics 

References

  1. 1.
    S. Jain, S. Krishna, Proc. Natl. Acad. Sci. USA 98, 543 (2001) ADSCrossRefGoogle Scholar
  2. 2.
    Z. Wang, L. Wang, Z. Yin, C. Xia, PLoS One 7, e40218 (2012) ADSCrossRefGoogle Scholar
  3. 3.
    H. Ohtsuki, C. Hauert, E. Lieberman, M. Nowak, Nature 4412, 502 (2006) ADSCrossRefGoogle Scholar
  4. 4.
    J. Hofbauer, K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, UK, 1998) Google Scholar
  5. 5.
    G. Szabó, C. Tõke, Phys. Rev. E 58, 69 (1998) ADSCrossRefGoogle Scholar
  6. 6.
    M.H. Vainstein, J.J. Arenzon, Phys. Rev. E 64, 051905 (2001) ADSCrossRefGoogle Scholar
  7. 7.
    R.J. Requejo, J. Camacho, J. Theor. Biol. 272, 35 (2011) CrossRefGoogle Scholar
  8. 8.
    M.A. Nowak, Science 314, 1560 (2006) ADSCrossRefGoogle Scholar
  9. 9.
    M.A. Nowak, K. Sigmund, Nature 393, 573 (1998) ADSCrossRefGoogle Scholar
  10. 10.
    F. Fu, L.H. Liu, L. Wang, Eur. Phys. J. B 56, 367 (2007) ADSCrossRefGoogle Scholar
  11. 11.
    P. Gong, C. van Leeuwen, EPL 67, 328 (2004) ADSCrossRefGoogle Scholar
  12. 12.
    W.B. Du, X.B. Cao, M.B. Hu, W.X. Wang, EPL 87, 60004 (2009) ADSCrossRefGoogle Scholar
  13. 13.
    F. Fu, X.J. Chen, L.H. Liu, L. Wang, Phys. Lett. A 371, 58 (2007) ADSCrossRefGoogle Scholar
  14. 14.
    F.C. Santos, J.M. Pacheco, Phys. Rev. Lett. 95, 098104 (2005) ADSCrossRefGoogle Scholar
  15. 15.
    Z.H. Rong, X. Li, X.F. Wang, Phys. Rev. E 76, 027101 (2007) ADSCrossRefGoogle Scholar
  16. 16.
    Z. Wang, A. Szolnoki, M. Perc, J. Theor. Biol. 349, 50 (2014) CrossRefGoogle Scholar
  17. 17.
    Z. Wang, L. Wang, M. Perc, Phys. Rev. E 89, 052813 (2014) ADSCrossRefGoogle Scholar
  18. 18.
    Q. Jin, L. Wang, C.Y. Xia, Z. Wang, Sci. Rep. 4, 4095 (2014) CrossRefGoogle Scholar
  19. 19.
    Z. Wang, A. Szolnoki, M. Perc, Sci. Rep. 3, 2470 (2013) ADSCrossRefGoogle Scholar
  20. 20.
    A. Szolnoki, M. Perc, New J. Phys. 10, 043036 (2008) ADSCrossRefGoogle Scholar
  21. 21.
    M. Perc, A. Szolnoki, Phys. Rev. E 77, 011904 (2008) ADSCrossRefGoogle Scholar
  22. 22.
    A. Szolnoki, M. Perc, Z. Danku, EPL 84, 50007 (2008) ADSCrossRefGoogle Scholar
  23. 23.
    G. Pollock, L. Dugatkin, J. Theor. Biol. 159, 25 (1992) CrossRefGoogle Scholar
  24. 24.
    M. Milinski, D. Semmann, H. Krambeck, Nature 415, 424 (2002) ADSCrossRefGoogle Scholar
  25. 25.
    C. Xia, S. Ding, C. Wang, J. Wang, Z. Chen, IEEE Syst. J. 11, 1516 (2017) ADSCrossRefGoogle Scholar
  26. 26.
    C. Wang, L. Wang, J. Wang, S. Sun, C. Xia, Appl. Math. Comput. 293, 18 (2017) MathSciNetGoogle Scholar
  27. 27.
    M. Chen, L. Wang, S. Sun, J. Wang, C. Xia, Phys. Lett. A 380, 40 (2016) ADSCrossRefGoogle Scholar
  28. 28.
    A. Szolnoki, M. Perc, EPL 92, 38003 (2010) ADSCrossRefGoogle Scholar
  29. 29.
    R. Jiménez, H. Lugo, J. Cuesta, A. Sánchez, J. Theor. Biol. 250, 475 (2008) CrossRefGoogle Scholar
  30. 30.
    A. Szolnoki, G. Szabó, M. Perc, Phys. Rev. E 83, 036101 (2011) ADSCrossRefGoogle Scholar
  31. 31.
    A. Szolnoki, M. Perc, Phys. Rev. X 7, 041027 (2017) Google Scholar
  32. 32.
    M. Perc, New J. Phys. 8, 22 (2006) ADSCrossRefGoogle Scholar
  33. 33.
    M. Perc, Z. Wang, PLoS One 5, 15117 (2010) ADSCrossRefGoogle Scholar
  34. 34.
    D. Helbing, A. Szolnoki, M. perc, G. Szabó, PLoS Comput. Biol. 6, 1000758 (2010) ADSCrossRefGoogle Scholar
  35. 35.
    A. Szolnoki, M. Perc, Phys. Rev. X 3, 041021 (2013) Google Scholar
  36. 36.
    C. Xia, J. Zhao, J. Wang, Y. Wang, H. Zhang, Phys. Scr. 84, 025802 (2011) ADSCrossRefGoogle Scholar
  37. 37.
    A. Szolnoki, M. Perc, New J. Phys. 14, 093016 (2012) ADSCrossRefGoogle Scholar
  38. 38.
    Z. Wang, A. Szolnoki, M. Perc, J. Theor. Biol. 349, 50 (2014) CrossRefGoogle Scholar
  39. 39.
    X.W. Wang et al., Physica A 465, 153 (2017) ADSCrossRefGoogle Scholar
  40. 40.
    A. Szolnoki, M. Perc, EPL 92, 38003 (2010) ADSCrossRefGoogle Scholar
  41. 41.
    L. Liu, X. Chen, A. Szolnoki, Sci. Rep. 7, 46634 (2017) ADSCrossRefGoogle Scholar
  42. 42.
    X. Chen , A. Szolnoki, Sci. Rep. 6, 32802 (2016) ADSCrossRefGoogle Scholar
  43. 43.
    C. Shen, C. Chu, H. Guo, L. Shi, J.Y. Duan, Sci. Rep. 7, 15213 (2017) ADSCrossRefGoogle Scholar
  44. 44.
    A. Szolnoki, Z. Wang, M. Perc, Sci. Rep. 2, 576 (2012) ADSCrossRefGoogle Scholar
  45. 45.
    H.X. Yang, X. Chen, Appl. Math. Comput. 316, 460 (2018) MathSciNetGoogle Scholar
  46. 46.
    A. Szolnoki, M. Perc, Phys. Rev. E 81, 057101 (2010) ADSCrossRefGoogle Scholar
  47. 47.
    A. Szolnoki, X. Chen, Phys. Rev. E 94, 042311 (2016) ADSCrossRefGoogle Scholar
  48. 48.
    A. Szolnoki, M. Perc, Proc. Biol. Sci. 282, 20151975 (2015) CrossRefGoogle Scholar
  49. 49.
    C. Shen, C. Chu, L. Shi, M. Perc, Z. Wang, R. Soc. Open Sci. 5, 180199 (2018) CrossRefGoogle Scholar
  50. 50.
    C. Shen, J. Lu, L. Shi, Appl. Math. Comput. 290, 201 (2016) MathSciNetGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Statistics and Mathematics, Yunnan University of Finance and EconomicsKunming, YunnanP.R. China
  2. 2.School of Statistics and Mathematics, Shanghai Lixin University of Accounting and FinanceShanghaiP.R. China

Personalised recommendations