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The Emergence of Cooperation in Public Goods Games on Randomly Growing Dynamic Networks

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Applications of Evolutionary Computation (EvoApplications 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9597))

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Abstract

According to evolutionary game theory, cooperation in public goods games is eliminated by free-riders, yet in nature, cooperation is ubiquitous. Artificial models resolve this contradiction via the mechanism of network reciprocity. However, existing research only addresses pre-existing networks and does not specifically consider their origins. Further, much work has focused on scale-free networks and so pre-supposes attachment mechanisms which may not exist in nature. We present a coevolutionary model of public goods games in networks, growing by random attachment, from small founding populations of simple agents. The model demonstrates the emergence of cooperation in moderately heterogeneous networks, regardless of original founders’ behaviour, and absent higher cognitive abilities such as recognition or memory. It may thus illustrate a more general mechanism for the evolution of cooperation, from early origins, in minimally cognitive organisms. It is the first example of a model explaining cooperation in public goods games on growing networks.

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References

  1. Perc, M., Gómez-Gardeñes, J., Szolnoki, A., Floría, L.M., Moreno, Y.: Evolutionary dynamics of group interactions on structured populations: a review. J. R. Soc. Interface 10, 20120997 (2013)

    Article  Google Scholar 

  2. Hardin, G.: The tragedy of the commons. Science 162, 1243–1248 (1968)

    Article  Google Scholar 

  3. Hauert, C., De Monte, S., Hofbauer, J., Sigmund, K.: Volunteering as red queen mechanism for cooperation in public goods games. Science 296, 1129–1132 (2002)

    Article  Google Scholar 

  4. Brandt, H., Hauert, C., Sigmund, K.: Punishment and reputation in spatial public goods games. Proc. R. Soc. Lond. B Biol. Sci. 270, 1099–1104 (2003)

    Article  Google Scholar 

  5. Szolnoki, A., Perc, M.: Reward and cooperation in the spatial public goods game. EPL (Europhys. Lett.) 92, 38003 (2010)

    Article  Google Scholar 

  6. Axelrod, R., Hamilton, W.D.: The evolution of cooperation. Science 211, 1390–1396 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  7. Crespi, B.J.: The evolution of social behavior in microorganisms. Trends Ecol. Evol. 16, 178–183 (2001)

    Article  Google Scholar 

  8. Nowak, M.A., May, R.M.: Evolutionary games and spatial chaos. Nature 359, 826–829 (1992)

    Article  Google Scholar 

  9. Santos, F.C., Pacheco, J.M.: A new route to the evolution of cooperation. J. Evol. Biol. 19, 726–733 (2006)

    Article  Google Scholar 

  10. Santos, F.C., Santos, M.D., Pacheco, J.M.: Social diversity promotes the emergence of cooperation in public goods games. Nature 454, 213–216 (2008)

    Article  Google Scholar 

  11. Szabó, G., Fáth, G.: Evolutionary games on graphs. Phys. Rep. 446, 97–216 (2007)

    Article  MathSciNet  Google Scholar 

  12. Perc, M., Szolnoki, A.: Coevolutionary games: a mini review. BioSystems 99, 109–125 (2010)

    Article  Google Scholar 

  13. Poncela, J., Gómez-Gardeñes, J., Floría, L.M., Sánchez, A., Moreno, Y.: Complex cooperative networks from evolutionary preferential attachment. PLoS One 3, e2449 (2008)

    Article  Google Scholar 

  14. Miller, S., Knowles, J.: Population fluctuation promotes cooperation in networks. Sci. Rep. 5 (2015)

    Google Scholar 

  15. Miller, S., Knowles, J.: A minimal model for the emergence of cooperation in randomly growing networks. In: Proceedings of the European Conference on Artificial Life 2015 (ECAL 2015), vol. 13, pp. 114–121 (2015)

    Google Scholar 

  16. Clauset, A., Shalizi, C.R., Newman, M.E.: Power-law distributions in empirical data. SIAM Rev. 51, 661–703 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  17. Fox Keller, E.: Revisiting “scale-free” networks. BioEssays 27, 1060–1068 (2005)

    Article  Google Scholar 

  18. Boyd, R., Richerson, P.J.: The evolution of reciprocity in sizable groups. J. Theor. Biol. 132, 337–356 (1988)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This work has been funded by the Engineering and Physical Sciences Research Council (Grant reference number EP/I028099/1).

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Correspondence to Steve Miller .

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Miller, S., Knowles, J. (2016). The Emergence of Cooperation in Public Goods Games on Randomly Growing Dynamic Networks. In: Squillero, G., Burelli, P. (eds) Applications of Evolutionary Computation. EvoApplications 2016. Lecture Notes in Computer Science(), vol 9597. Springer, Cham. https://doi.org/10.1007/978-3-319-31204-0_24

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  • DOI: https://doi.org/10.1007/978-3-319-31204-0_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-31203-3

  • Online ISBN: 978-3-319-31204-0

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