IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0020474.html
   My bibliography  Save this article

Axelrod's Metanorm Games on Networks

Author

Listed:
  • José M Galán
  • Maciej M Łatek
  • Seyed M Mussavi Rizi

Abstract

Metanorms is a mechanism proposed to promote cooperation in social dilemmas. Recent experimental results show that network structures that underlie social interactions influence the emergence of norms that promote cooperation. We generalize Axelrod's analysis of metanorms dynamics to interactions unfolding on networks through simulation and mathematical modeling. Network topology strongly influences the effectiveness of the metanorms mechanism in establishing cooperation. In particular, we find that average degree, clustering coefficient and the average number of triplets per node play key roles in sustaining or collapsing cooperation.

Suggested Citation

  • José M Galán & Maciej M Łatek & Seyed M Mussavi Rizi, 2011. "Axelrod's Metanorm Games on Networks," PLOS ONE, Public Library of Science, vol. 6(5), pages 1-11, May.
  • Handle: RePEc:plo:pone00:0020474
    DOI: 10.1371/journal.pone.0020474
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0020474
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0020474&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0020474?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Axelrod, Robert, 1986. "An Evolutionary Approach to Norms," American Political Science Review, Cambridge University Press, vol. 80(4), pages 1095-1111, December.
    2. Jeffrey Carpenter & Peter Matthews & Okomboli Ong’ong’a, 2004. "Why Punish? Social reciprocity and the enforcement of prosocial norms," Journal of Evolutionary Economics, Springer, vol. 14(4), pages 407-429, October.
    3. Herbert Gintis, 2000. "Strong Reciprocity and Human Sociality," UMASS Amherst Economics Working Papers 2000-02, University of Massachusetts Amherst, Department of Economics.
    4. Douglas D. Heckathorn, 1989. "Collective Action and the Second-Order Free-Rider Problem," Rationality and Society, , vol. 1(1), pages 78-100, July.
    5. José Manuel Galán & Luis R. Izquierdo, 2005. "Appearances Can Be Deceiving: Lessons Learned Re-Implementing Axelrod's 'Evolutionary Approach to Norms'," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 8(3), pages 1-2.
    6. Karthik Panchanathan & Robert Boyd, 2004. "Indirect reciprocity can stabilize cooperation without the second-order free rider problem," Nature, Nature, vol. 432(7016), pages 499-502, November.
    7. Rand, David Gertler & Dreber, Anna & Fudenberg, Drew & Ellingson, Tore & Nowak, Martin A., 2009. "Positive Interactions Promote Public Cooperation," Scholarly Articles 3804483, Harvard University Department of Economics.
    8. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    9. Elster, Jon, 2006. "Altruistic Behavior and Altruistic Motivations," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 3, pages 183-206, Elsevier.
    10. José Manuel Galán & Luis R. Izquierdo & Segismundo S. Izquierdo & José Ignacio Santos & Ricardo del Olmo & Adolfo López-Paredes & Bruce Edmonds, 2009. "Errors and Artefacts in Agent-Based Modelling," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-1.
    11. R. Mark Isaac & James M. Walker, 1988. "Group Size Effects in Public Goods Provision: The Voluntary Contributions Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 179-199.
    12. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    13. Dirk Helbing & Anders Johansson, 2010. "Cooperation, Norms, and Revolutions: A Unified Game-Theoretical Approach," PLOS ONE, Public Library of Science, vol. 5(10), pages 1-15, October.
    14. E. Ostrom, 2010. "A Behavioral Approach to the Rational Choice Theory of Collective Action Presidential Address, American political Science Association, 1997," Public administration issues, Higher School of Economics, issue 1, pages 5-52.
    15. Elster, Jon, 1989. "Social Norms and Economic Theory," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 99-117, Fall.
    16. Sergi Lozano & Alex Arenas & Angel Sánchez, 2008. "Mesoscopic Structure Conditions the Emergence of Cooperation on Social Networks," PLOS ONE, Public Library of Science, vol. 3(4), pages 1-9, April.
    17. Carlos P Roca & Sergi Lozano & Alex Arenas & Angel Sánchez, 2010. "Topological Traps Control Flow on Real Networks: The Case of Coordination Failures," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-9, December.
    18. Szolnoki, Attila & Perc, Matjaž & Danku, Zsuzsa, 2008. "Towards effective payoffs in the prisoner’s dilemma game on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2075-2082.
    19. Christine Horne & Anna Cutlip, 2002. "Sanctioning Costs and Norm Enforcement," Rationality and Society, , vol. 14(3), pages 285-307, August.
    20. Cristina Bicchieri, 2002. "Covenants without Swords," Rationality and Society, , vol. 14(2), pages 192-228, May.
    21. Bin Wu & Da Zhou & Feng Fu & Qingjun Luo & Long Wang & Arne Traulsen, 2010. "Evolution of Cooperation on Stochastic Dynamical Networks," PLOS ONE, Public Library of Science, vol. 5(6), pages 1-7, June.
    22. Cinyabuguma, Matthias & Page, Talbot & Putterman, Louis, 2005. "Cooperation under the threat of expulsion in a public goods experiment," Journal of Public Economics, Elsevier, vol. 89(8), pages 1421-1435, August.
    23. Laurent Denant-Boemont & David Masclet & Charles Noussair, 2007. "Punishment, counterpunishment and sanction enforcement in a social dilemma experiment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 145-167, October.
    24. Matthias Cinyabuguma & Talbot Page & Louis Putterman, 2006. "Can second-order punishment deter perverse punishment?," Experimental Economics, Springer;Economic Science Association, vol. 9(3), pages 265-279, September.
    25. Ostrom, Elinor & Walker, James & Gardner, Roy, 1992. "Covenants with and without a Sword: Self-Governance Is Possible," American Political Science Review, Cambridge University Press, vol. 86(2), pages 404-417, June.
    26. Christine Horne, 2007. "Explaining Norm Enforcement," Rationality and Society, , vol. 19(2), pages 139-170, May.
    27. Jelena Grujić & Constanza Fosco & Lourdes Araujo & José A Cuesta & Angel Sánchez, 2010. "Social Experiments in the Mesoscale: Humans Playing a Spatial Prisoner's Dilemma," PLOS ONE, Public Library of Science, vol. 5(11), pages 1-9, November.
    28. Sergi Lozano & Alex Arenas & Angel Sánchez, 2008. "Community connectivity and heterogeneity: clues and insights on cooperation on social networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 3(2), pages 183-199, December.
    29. Simon Gachter & Ernst Fehr, 2000. "Cooperation and Punishment in Public Goods Experiments," American Economic Review, American Economic Association, vol. 90(4), pages 980-994, September.
    30. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.
    31. Rick L. Riolo & Michael D. Cohen & Robert Axelrod, 2001. "Evolution of cooperation without reciprocity," Nature, Nature, vol. 414(6862), pages 441-443, November.
    32. Douglas D. Heckathorn, 1998. "Collective Action, Social Dilemmas And Ideology," Rationality and Society, , vol. 10(4), pages 451-479, November.
    33. Luis R. Izquierdo & Segismundo S. Izquierdo & José Manuel Galán & José Ignacio Santos, 2009. "Techniques to Understand Computer Simulations: Markov Chain Analysis," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-6.
    34. Christine Horne, 2008. "Norm Enforcement in Heterogeneous Groups," Rationality and Society, , vol. 20(2), pages 147-172, May.
    35. Karl-Dieter Opp, 2002. "When Do Norms Emerge by Human Design and When by the Unintended Consequences of Human Action?," Rationality and Society, , vol. 14(2), pages 131-158, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Duan-Bing Chen & Hui Gao & Linyuan Lü & Tao Zhou, 2013. "Identifying Influential Nodes in Large-Scale Directed Networks: The Role of Clustering," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-10, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiaoting Zheng & Puyan Nie, 2013. "Effective Punishment Needs Legitimacy," The Economic Record, The Economic Society of Australia, vol. 89(287), pages 522-544, December.
    2. Simon Gaechter & Benedikt Herrmann, 2008. "Reciprocity, culture, and human cooperation: Previous insights and a new cross-cultural experiment," Discussion Papers 2008-14, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    3. Dirk Helbing & Anders Johansson, 2010. "Cooperation, Norms, and Revolutions: A Unified Game-Theoretical Approach," PLOS ONE, Public Library of Science, vol. 5(10), pages 1-15, October.
    4. Simon Gaechter & Benedikt Herrmann, 2008. "Reciprocity, culture, and human cooperation: Previous insights and a new cross-cultural experiment," Discussion Papers 2008-14, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    5. Michael J. Prietula & Daniel Conway, 2009. "The evolution of metanorms: quis custodiet ipsos custodes?," Computational and Mathematical Organization Theory, Springer, vol. 15(3), pages 147-168, September.
    6. Ananish Chaudhuri, 2011. "Sustaining cooperation in laboratory public goods experiments: a selective survey of the literature," Experimental Economics, Springer;Economic Science Association, vol. 14(1), pages 47-83, March.
    7. Gächter, Simon & Herrmann, Benedikt, 2011. "The limits of self-governance when cooperators get punished: Experimental evidence from urban and rural Russia," European Economic Review, Elsevier, vol. 55(2), pages 193-210, February.
    8. Daniele Nosenzo & Martin Sefton, 2012. "Promoting Cooperation: the Distribution of Reward and Punishment Power," Discussion Papers 2012-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    9. Xiang Wei & Peng Xu & Shuiting Du & Guanghui Yan & Huayan Pei, 2021. "Reputational preference-based payoff punishment promotes cooperation in spatial social dilemmas," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(10), pages 1-7, October.
    10. Luo-Luo Jiang & Matjaž Perc & Attila Szolnoki, 2013. "If Cooperation Is Likely Punish Mildly: Insights from Economic Experiments Based on the Snowdrift Game," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-7, May.
    11. Shimpei Koike & Mayuko Nakamaru & Tokinao Otaka & Hajime Shimao & Ken-Ichi Shimomura & Takehiko Yamato, 2018. "Reciprocity and exclusion in informal financial institutions: An experimental study of rotating savings and credit associations," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-23, August.
    12. Hiroki Ozono & Yoshio Kamijo & Kazumi Shimizu, 2017. "Does the order of punishment matter? A comparison of pool punishment systems," Working Papers 1707, Waseda University, Faculty of Political Science and Economics.
    13. Nikiforakis, Nikos & Noussair, Charles N. & Wilkening, Tom, 2012. "Normative conflict and feuds: The limits of self-enforcement," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 797-807.
    14. Bettina Rockenbach & Irenaeus Wolff, 2016. "Designing Institutions for Social Dilemmas," German Economic Review, Verein für Socialpolitik, vol. 17(3), pages 316-336, August.
    15. Wolff, Irenaeus, 2009. "Counterpunishment revisited: an evolutionary approach," MPRA Paper 16923, University Library of Munich, Germany.
    16. Karakostas, Alexandros & Kocher, Martin & Matzat, Dominik & Rau, Holger A. & Riewe, Gerhard, 2021. "The team allocator game: Allocation power in public goods games," University of Göttingen Working Papers in Economics 419, University of Goettingen, Department of Economics.
    17. Christine Horne, 2007. "Explaining Norm Enforcement," Rationality and Society, , vol. 19(2), pages 139-170, May.
    18. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Chen, Wenman & Gu, Cuiling, 2022. "Competition of punishment and reward among inequity-averse individuals in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    19. Simon Gaechter & Benedikt Herrmann, 2006. "The limits of self-governance in the presence of spite: Experimental evidence from urban and rural Russia," Discussion Papers 2006-13, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    20. Terence Burnham, 2015. "Public goods with high-powered punishment: high cooperation and low efficiency," Journal of Bioeconomics, Springer, vol. 17(2), pages 173-187, July.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0020474. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.