Skip to main content

A Study on the Evolution of Cooperation in Networks

  • Conference paper
Book cover Web Information Systems Engineering – WISE 2013 (WISE 2013)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8181))

Included in the following conference series:

Abstract

This paper studies the phenomenon of the evolution of cooperation in networks, where each player in networks plays an iterated game against its neighbours. An iterated game in a network is a multiple round game, where, in each round, a player gains payoff by playing a game with its neighbours and updates its action by using the actions and/or payoffs of its neighbours. The interaction model between the players is usually represented as a two-player, two-action (i.e., cooperation and defection) Prisoner’s Dilemma game. Currently, many researchers developed strategies for the evolution of cooperation in structured networks in order to enhance cooperation, i.e., to increase the proportion of cooperators. However, experimental results, reported in current literature, demonstrated that each of these strategies has advantages and disadvantages. In this paper, a self-organisation based strategy is proposed for the evolution of cooperation in networks, which can utilise the strengths of current strategies and avoid the limitations of current strategies. The proposed strategy is empirically evaluated and its good performance is exhibited. Moreover, we also theoretically find that, in static networks, the final proportion of cooperators evolved by any pure (or deterministic) strategies fluctuates cyclically irrespective of the initial proportion of cooperators.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hamilton, W.D.: The genetical evolution of social behaviour. J. Theor. Biol. 7, 1–16 (1964)

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  3. Hofmann, L.M., Chakraborty, N., Sycara, K.: The evolution of cooperation in self-interested agent societies: a critical study. In: Proc. of AAMAS 2011, Taipei, Taiwan, pp. 685–692 (May 2011)

    Google Scholar 

  4. Guan, J.Y., Wu, Z.X., Wang, Y.H.: Effects of inhomogeneous activity of players and noise on cooperation in spatial public goods games. Phys. Rev. E 76, 056101 (2007)

    Article  Google Scholar 

  5. Szolnoki, A., Perc, M.: Group-size effects on the evolution of cooperation in the spatial public goods game. Phys. Rev. E 84, 047102 (2011)

    Article  Google Scholar 

  6. Wedekind, C., Milinski, M.: Cooperation through image scoring in humans. Science 288, 850–852 (2000)

    Article  Google Scholar 

  7. Fehr, E., Fischbacher, U.: The nature of human altruism. Nature 425, 785–791 (2003)

    Article  Google Scholar 

  8. Kagel, J.H., Roth, A.E.: The handbook of experimental economics. Princeton University Press (1995)

    Google Scholar 

  9. Dawes, R.M.: Social dilemmas. Ann. Rev. Psychol. 31, 169–193 (1980)

    Article  Google Scholar 

  10. Hassell, M.P., Comins, H.N., May, R.M.: Species coexistence and self-organizing spatial dynamics. Nature 370, 290–292 (1994)

    Article  Google Scholar 

  11. Abramson, G., Kuperman, M.: Social games in a social network. Phys. Rev. E 63, 030901 (2001)

    Article  Google Scholar 

  12. Szabo, G., Vukov, J.: Cooperation for volunteering and partially random partnership. Phys. Rev. E 69, 036107 (2004)

    Article  Google Scholar 

  13. Lieberman, E., Hauert, C., Nowak, M.A.: Evolutionary dynamics on graphs. Nature 433, 312–316 (2005)

    Article  Google Scholar 

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

    Article  Google Scholar 

  15. Nakamaru, M., Matsuda, H., Iwasa, Y.: The evolution of cooperation in a lattice-structured population. J. Theor. Biol. 184, 65–81 (1997)

    Article  Google Scholar 

  16. Ifti, M., Killingback, T., Doebeli, M.: Effects of neighbourhood size and connectivity on the spatial continuous prisoner’s dilemma. J. Theor. Biol. 231, 97–106 (2004)

    Article  MathSciNet  Google Scholar 

  17. Santos, F.C., Pacheco, J.M.: Scale-free networks provide a unifying framework for the emergence of cooperation. Phys. Rev. Lett. 95, 098104 (2005)

    Article  Google Scholar 

  18. Axelrod, R.: The evolution of cooperation. New York (1984)

    Google Scholar 

  19. Axelrod, R., Dion, D.: The further evolution of cooperation. Science 242, 1385–1390 (1988)

    Article  Google Scholar 

  20. Nowak, M., Sigmund, K.: Tit for tat in heterogeneous populations. Nature 355, 250–253 (1992)

    Article  Google Scholar 

  21. Nowak, M., Sigmund, K.: A strategy of win-stay, lose-shift that outperforms tit-for-tat in the prisoner’s dilemma game. Nature 364, 56–58 (1993)

    Article  Google Scholar 

  22. Tang, C., Wang, W., Wu, X., Wang, B.: Effects of average degree on cooperation in networked evolutionary game. Eur. Phys. J. B 53, 411–415 (2006)

    Article  MATH  Google Scholar 

  23. Santos, F.C., Pacheco, J.M., Lenaerts, T.: Evolutionary dynamics of social dilemmas in structured heterogeneous populations. Proc. Natl. Acad. Sci. 103, 3490–3494 (2006)

    Article  Google Scholar 

  24. Kaelbling, L.P., Littman, M.L., Moore, A.W.: Reinforcement learning: A survey. Journal of AI Research 4, 237–285 (1996)

    Google Scholar 

  25. Barabasi, A.L., Albert, R.: Emergence of scaling in random networks. Science 286(5439), 509–512 (1999)

    Article  MathSciNet  Google Scholar 

  26. Watts, D.J., Strogatz, S.H.: Collective dynamics of ‘small-world’ networks. Nature 393, 440–442 (1998)

    Article  Google Scholar 

  27. Newman, M.E.J.: The structure of scientific collaboration networks. Proc. Natl. Acad. Sci. 98, 404–409 (2001)

    Article  MATH  Google Scholar 

  28. Ebel, H., Bornholdt, S.: Coevolutionary games on networks. Phys. Rev. E 66, 056118 (2002)

    Article  Google Scholar 

  29. Zimmermann, M.G., Eguiluz, V.M.: Cooperation, social networks, and the emergence of leardership in a prisoner’s dilemma with adaptive local interactions. Phys. Rev. E 72, 056118 (2005)

    Article  MathSciNet  Google Scholar 

  30. Kautz, H., Selman, B., Milewski, A.: Agent amplified communication. In: AAAI 1996, Portland, pp. 3–9 (1996)

    Google Scholar 

  31. Szabo, G., Fathb, G.: Evolutionary games on graphs. Phys. Rep. 446, 97–216 (2007)

    Article  MathSciNet  Google Scholar 

  32. Hauert, C., Schuster, H.G.: Extending the iterated prisoner’s dilemma without synchrony. J. Theor. Biol. 192, 155–166 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ye, D., Zhang, M. (2013). A Study on the Evolution of Cooperation in Networks. In: Lin, X., Manolopoulos, Y., Srivastava, D., Huang, G. (eds) Web Information Systems Engineering – WISE 2013. WISE 2013. Lecture Notes in Computer Science, vol 8181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41154-0_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-41154-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41153-3

  • Online ISBN: 978-3-642-41154-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics