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Promoting cooperation by reputation-based payoff transfer mechanism in public goods game

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Abstract

Considering the impact of reputation on social benefits of people in reality, we introduce the reputation-based payoff transfer mechanism to investigate cooperative behaviors on the lattice in the process of public goods game (PGG). Here individual reputation is quantified by score rules and players are ranked based on reputation scores. Payoffs can be transferred from low-ranking groups to high-ranking individuals via three different kinds of transfer ratios, and thus players with high rank receive endogenous bonus without the external funds. Numerical simulations show that the level of cooperation in PGG gets slightly increase in the type of conditional transfer ratios. But cooperation can be significantly promoted and maintained at a high level in the type of effective transfer ratios. The effect of transfer strength (s) is also considered. The greater the s, the higher the cooperation level for most transfer ratios. And when the optimal transfer ratio condition is met, cooperation can quickly be emergent and nearly reach global cooperation even if the synergy factor is small. Our research is helpful to shed light on the emergence of cooperation in PGG and provides useful advices for organizers to promote the collective supply of public goods from the perspective of reputation management.

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References

  1. Q. Chen, T. Chen, Y. Wang, Chaos Solitons Fractals 91, 649 (2016)

    ADS  Google Scholar 

  2. A. Szolnoki, X. Chen, Europhys. Lett. 120, 58001 (2018)

    ADS  Google Scholar 

  3. M.A. Nowak, Science 314, 1560 (2006)

    ADS  Google Scholar 

  4. G. Hardin, Science 162, 1243 (1968)

    ADS  Google Scholar 

  5. H. Gintis,Game Theory Evolving: A Problem-centered Introduction to Modeling Strategic Behavior (Princeton University Press, Princeton, 2000)

  6. M. Perc, A. Szolnoki, BioSystems 99, 109 (2010)

    Google Scholar 

  7. M. Perc, J.J. Jordan, D.G. Rand, Z. Wang, S. Boccaletti, A. Szolnoki, Phys. Rep. 687, 1 (2017)

    ADS  MathSciNet  Google Scholar 

  8. M.A. Javarone, Eur. Phys. J. B 89, 42 (2016)

    ADS  Google Scholar 

  9. A. Szolnoki, M. Perc, G. Szab, Eur. Phys. J. B 61, 505 (2008)

    ADS  MathSciNet  Google Scholar 

  10. A. Szolnoki, G. Szabó, Europhys. Lett. 77, 30004 (2007)

    ADS  Google Scholar 

  11. X. Chen, A. Szolnoki, Sci. Rep. 6, 32802 (2016)

    ADS  Google Scholar 

  12. M.A. Javarone, Eur. Phys. J. B 90, 171 (2017)

    ADS  MathSciNet  Google Scholar 

  13. M.A. Nowak, R.M. May, Nature 359, 826 (1992)

    ADS  Google Scholar 

  14. Z. Wang, L. Wang, Eur. Phys. J. B 88, 124 (2015)

    ADS  Google Scholar 

  15. C. Li, L. Wang, S. Sun, C. Xia, Appl. Math. Comput. 320, 512 (2018)

    MathSciNet  Google Scholar 

  16. F.C. Santos, M.D. Santos, J.M. Pacheco, Nature 454, 213 (2008)

    ADS  Google Scholar 

  17. M. Perc, A. Szolnoki, Phys. Rev. E 77, 011904 (2008)

    ADS  Google Scholar 

  18. C. Hauert, M.S. De, J. Hofbauer, K. Sigmund, Science 296, 1129 (2002)

    ADS  Google Scholar 

  19. G. Szab, C. Hauert, Phys. Rev. Lett. 89, 118101 (2002)

    ADS  Google Scholar 

  20. T. Wu, F. Fu, Y. Zhang, L. Wang, Phys. Rev. E 85, 066104 (2012)

    ADS  Google Scholar 

  21. M. Perc, J. Gómez-Gardeñes, A. Szolnoki, L.M. Floría, Y. Moreno, J. R. Soc. Interf. 10, 20120997 (2013)

    Google Scholar 

  22. T. Chen, X. Hu, Y. Wang, L. Wang, Eur. Phys. J. B 91, 112 (2018)

    ADS  Google Scholar 

  23. Z. Yang, T. Wu, Z. Li, L. Wang, Eur. Phys. J. B 86, 158 (2013)

    ADS  Google Scholar 

  24. X. Chen, A. Szolnoki, M. Perc, Phys. Rev. E 92, 012819 (2015)

    ADS  MathSciNet  Google Scholar 

  25. L. Liu, X. Chen, A. Szolnoki, Math. Models Methods Appl. Sci. 29, 2127 (2019)

    MathSciNet  Google Scholar 

  26. A. Szolnoki, G. Szabó, L. Czakó, Phys. Rev. E 84, 046106 (2011)

    ADS  Google Scholar 

  27. X. Chen, A. Szolnoki, M. Perc, New J. Phys. 16, 083016 (2014)

    ADS  MathSciNet  Google Scholar 

  28. A. Szolnoki, M. Perc, Phys. Rev. X 7, 041027 (2017)

    Google Scholar 

  29. A. Szolnoki, M. Perc, Europhys. Lett. 92, 38003 (2010)

    ADS  Google Scholar 

  30. T. Sasaki, S. Uchida, Biol. Lett. 10, 20130903 (2014)

    Google Scholar 

  31. X. Chen, T. Sasaki, Å. Brännström, U. Dieckmann, J. R. Soc. Interf. 12, 20140935 (2015)

    Google Scholar 

  32. M. Milinski, D. Semmann, H.-J. Krambeck, Nature 415, 424 (2002)

    ADS  Google Scholar 

  33. E. Fehr, Nature 432, 449 (2004)

    ADS  Google Scholar 

  34. K. Panchanathan, R. Boyd, Nature 432, 499 (2004)

    ADS  Google Scholar 

  35. F. Fu, C. Hauert, M.A. Nowak, L. Wang, Phys. Rev. E 78, 026117 (2008)

    ADS  Google Scholar 

  36. Q. Chen, T. Chen, Y. Wang, Appl. Math. Comput. 310, 48 (2017)

    MathSciNet  Google Scholar 

  37. Z. Wang, L. Wang, Z.-Y. Yin, C.-Y. Xia, PloS One 7, e40218 (2012)

    ADS  Google Scholar 

  38. D. Semmann, H.-J. Krambeck, Behav. Ecol. Sociobiol. 57, 611 (2005)

    Google Scholar 

  39. T. Zhou, S. Ding, W. Fan, H. Wang, Chaos Solitons Fractals 93, 130 (2016)

    ADS  MathSciNet  Google Scholar 

  40. P. Barclay, Evol. Hum. Behav. 25, 209 (2004)

    Google Scholar 

  41. P. Barclay, Evol. Hum. Behav. 27, 325 (2006)

    Google Scholar 

  42. G. Grigore, Metal. Int. 14, 95 (2009)

    Google Scholar 

  43. C. Wedekind, M. Milinski, Science 288, 850 (2000)

    ADS  Google Scholar 

  44. H. Brandt, C. Hauert, K. Sigmund, Proc. R. Soc. London Ser. B Biol. Sci. 270, 1099 (2003)

    Google Scholar 

  45. K. Sigmund, C. Hauert, M.A. Nowak, Proc. Natl. Acad. Sci. 98, 10757 (2001)

    ADS  Google Scholar 

  46. M. Egas, A. Riedl, Proc. R. Soc. B Biol. Sci. 275, 871 (2008)

    Google Scholar 

  47. D. Helbing, A. Szolnoki, M. Perc, G. Szabó, New J. Phys. 12, 083005 (2010)

    ADS  Google Scholar 

  48. M. Greiff, J. Evol. Econ. 23, 1001 (2013)

    Google Scholar 

  49. C.L. Yang, B. Zhang, G. Charness, C. Li, J.W. Lien, Proc. Natl. Acad. Sci. 115, 9968 (2018)

    Google Scholar 

  50. G. Szabó, C. Tőke, Phys. Rev. E 58, 69 (1998)

    ADS  Google Scholar 

  51. L. Wang, T. Chen, X. You, Y. Wang, Physica A 493, 84 (2018)

    ADS  Google Scholar 

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Correspondence to Ran Yang.

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Yang, R., Chen, T. & Chen, Q. Promoting cooperation by reputation-based payoff transfer mechanism in public goods game. Eur. Phys. J. B 93, 94 (2020). https://doi.org/10.1140/epjb/e2020-100618-x

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