IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0137435.html
   My bibliography  Save this article

Evolution of Conformity in Social Dilemmas

Author

Listed:
  • Yali Dong
  • Cong Li
  • Yi Tao
  • Boyu Zhang

Abstract

People often deviate from their individual Nash equilibrium strategy in game experiments based on the prisoner’s dilemma (PD) game and the public goods game (PGG), whereas conditional cooperation, or conformity, is supported by the data from these experiments. In a complicated environment with no obvious “dominant” strategy, conformists who choose the average strategy of the other players in their group could be able to avoid risk by guaranteeing their income will be close to the group average. In this paper, we study the repeated PD game and the repeated m-person PGG, where individuals’ strategies are restricted to the set of conforming strategies. We define a conforming strategy by two parameters, initial action in the game and the influence of the other players’ choices in the previous round. We are particularly interested in the tit-for-tat (TFT) strategy, which is the well-known conforming strategy in theoretical and empirical studies. In both the PD game and the PGG, TFT can prevent the invasion of non-cooperative strategy if the expected number of rounds exceeds a critical value. The stability analysis of adaptive dynamics shows that conformity in general promotes the evolution of cooperation, and that a regime of cooperation can be established in an AllD population through TFT-like strategies. These results provide insight into the emergence of cooperation in social dilemma games.

Suggested Citation

  • Yali Dong & Cong Li & Yi Tao & Boyu Zhang, 2015. "Evolution of Conformity in Social Dilemmas," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-12, September.
  • Handle: RePEc:plo:pone00:0137435
    DOI: 10.1371/journal.pone.0137435
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0137435
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0137435&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0137435?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. Fischbacher, Urs & Gachter, Simon & Fehr, Ernst, 2001. "Are people conditionally cooperative? Evidence from a public goods experiment," Economics Letters, Elsevier, vol. 71(3), pages 397-404, June.
    2. Zhigang Cao & Haoyu Gao & Xinglong Qu & Mingmin Yang & Xiaoguang Yang, 2013. "Fashion, Cooperation, and Social Interactions," PLOS ONE, Public Library of Science, vol. 8(1), pages 1-14, January.
    3. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    4. Fudenberg, D. & Harris, C., 1992. "Evolutionary dynamics with aggregate shocks," Journal of Economic Theory, Elsevier, vol. 57(2), pages 420-441, August.
    5. Peter Duersch & Jörg Oechssler & Burkhard Schipper, 2014. "When is tit-for-tat unbeatable?," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 25-36, February.
    6. Urs Fischbacher & Simon Gachter, 2010. "Social Preferences, Beliefs, and the Dynamics of Free Riding in Public Goods Experiments," American Economic Review, American Economic Association, vol. 100(1), pages 541-556, March.
    7. Christoph Adami & Arend Hintze, 2013. "Evolutionary instability of zero-determinant strategies demonstrates that winning is not everything," Nature Communications, Nature, vol. 4(1), pages 1-8, October.
    8. Claudia Keser & Frans Van Winden, 2000. "Conditional Cooperation and Voluntary Contributions to Public Goods," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 23-39, March.
    9. 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.
    10. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    11. Duersch, Peter & Oechssler, Jörg & Schipper, Burkhard C., 2012. "Unbeatable imitation," Games and Economic Behavior, Elsevier, vol. 76(1), pages 88-96.
    12. Martin A. Nowak & Akira Sasaki & Christine Taylor & Drew Fudenberg, 2004. "Emergence of cooperation and evolutionary stability in finite populations," Nature, Nature, vol. 428(6983), pages 646-650, April.
    13. Siddharth Suri & Duncan J Watts, 2011. "Cooperation and Contagion in Web-Based, Networked Public Goods Experiments," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-18, March.
    14. Cassar, Alessandra, 2007. "Coordination and cooperation in local, random and small world networks: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 58(2), pages 209-230, February.
    15. Jelena Grujić & Torsten Röhl & Dirk Semmann & Manfred Milinski & Arne Traulsen, 2012. "Consistent Strategy Updating in Spatial and Non-Spatial Behavioral Experiments Does Not Promote Cooperation in Social Networks," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-8, November.
    16. 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.
    17. 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.
    18. Flávio L Pinheiro & Vítor V Vasconcelos & Francisco C Santos & Jorge M Pacheco, 2014. "Evolution of All-or-None Strategies in Repeated Public Goods Dilemmas," PLOS Computational Biology, Public Library of Science, vol. 10(11), pages 1-5, November.
    19. 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.
    20. Christian Hilbe & Martin A Nowak & Arne Traulsen, 2013. "Adaptive Dynamics of Extortion and Compliance," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-9, November.
    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. Zhang, Boyu & An, Xinmiao & Dong, Yali, 2021. "Conditional cooperator enhances institutional punishment in public goods game," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    2. Arefin, Md. Rajib & Tanimoto, Jun, 2024. "Coupling injunctive social norms with evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    3. Urs Steiner Brandt & Gert Tinggaard Svendsen, 2019. "How robust is the welfare state when facing open borders? An evolutionary game-theoretic model," Public Choice, Springer, vol. 178(1), pages 179-195, January.
    4. Ivan S Menshikov & Alexsandr V Shklover & Tatiana S Babkina & Mikhail G Myagkov, 2017. "From rationality to cooperativeness: The totally mixed Nash equilibrium in Markov strategies in the iterated Prisoner’s Dilemma," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-17, November.
    5. Christian Hilbe & Kristin Hagel & Manfred Milinski, 2016. "Asymmetric Power Boosts Extortion in an Economic Experiment," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-14, October.
    6. Yang, Kai & Huang, Changwei & Dai, Qionglin & Yang, Junzhong, 2018. "The effects of attribute persistence on cooperation in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 23-28.
    7. Liu, Yandi & Wang, Hexin & Ding, Yi & Yang, Xuan & Dai, Yu, 2022. "Can weak diversity help in propagating cooperation? Invasion of cooperators at the conformity-conflict boundary," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

    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. Bernd Irlenbusch & Janna Ter Meer, 2015. "Lying in public good games with and without punishment," Cologne Graduate School Working Paper Series 06-02, Cologne Graduate School in Management, Economics and Social Sciences.
    2. Takahiro Ezaki & Yutaka Horita & Masanori Takezawa & Naoki Masuda, 2016. "Reinforcement Learning Explains Conditional Cooperation and Its Moody Cousin," PLOS Computational Biology, Public Library of Science, vol. 12(7), pages 1-13, July.
    3. Grolleau, Gilles & Sutan, Angela & Vranceanu, Radu, 2016. "Do people contribute more to intra-temporal or inter-temporal public goods?," Research in Economics, Elsevier, vol. 70(1), pages 186-195.
    4. Akay, Alpaslan & Karabulut, Gökhan & Martinsson, Peter, 2011. "The Effect of Religion on Cooperation and Altruistic Punishment: Experimental Evidence from Public Goods Experiments," IZA Discussion Papers 6179, Institute of Labor Economics (IZA).
    5. Zhang, Boyu & An, Xinmiao & Dong, Yali, 2021. "Conditional cooperator enhances institutional punishment in public goods game," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    6. Takahiro Ezaki & Naoki Masuda, 2017. "Reinforcement learning account of network reciprocity," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-8, December.
    7. Fluet, Claude & Galbiati, Rpbertp, 2016. "Lois et normes : les enseignements de l'économie comportementale," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 191-215, Mars-Juin.
    8. Richter, Andries & Grasman, Johan, 2013. "The transmission of sustainable harvesting norms when agents are conditionally cooperative," Ecological Economics, Elsevier, vol. 93(C), pages 202-209.
    9. Raúl López-Pérez & Aldo Ramírez-Almudio, 2020. "Why people give to their governments: The role of outcome-oriented norms," Working Papers 2007, Instituto de Políticas y Bienes Públicos (IPP), CSIC.
    10. Kim, Jeongbin & Putterman, Louis & Zhang, Xinyi, 2022. "Trust, Beliefs and Cooperation: Excavating a Foundation of Strong Economies," European Economic Review, Elsevier, vol. 147(C).
    11. Kurt A. Ackermann & Ryan O. Murphy, 2019. "Explaining Cooperative Behavior in Public Goods Games: How Preferences and Beliefs Affect Contribution Levels," Games, MDPI, vol. 10(1), pages 1-34, March.
    12. Jan Schmitz, 2019. "When Two Become One: How Group Mergers Affect Solidarity," Games, MDPI, vol. 10(3), pages 1-42, July.
    13. Engel, Christoph & Kube, Sebastian & Kurschilgen, Michael, 2021. "Managing expectations: How selective information affects cooperation and punishment in social dilemma games," Journal of Economic Behavior & Organization, Elsevier, vol. 187(C), pages 111-136.
    14. Peter Martinsson & Clara Villegas-Palacio & Conny Wollbrant, 2015. "Cooperation and social classes: evidence from Colombia," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 829-848, December.
    15. Ahn, T.K. & Balafoutas, Loukas & Batsaikhan, Mongoljin & Campos-Ortiz, Francisco & Putterman, Louis & Sutter, Matthias, 2016. "Securing property rights: A dilemma experiment in Austria, Mexico, Mongolia, South Korea and the United States," Journal of Public Economics, Elsevier, vol. 143(C), pages 115-124.
    16. Martinsson, Peter & Pham-Khanh, Nam & Villegas-Palacio, Clara, 2013. "Conditional cooperation and disclosure in developing countries," Journal of Economic Psychology, Elsevier, vol. 34(C), pages 148-155.
    17. Angelovski, Andrej & Di Cagno, Daniela & Güth, Werner & Marazzi, Francesca & Panaccione, Luca, 2018. "Behavioral spillovers in local public good provision: An experimental study," Journal of Economic Psychology, Elsevier, vol. 67(C), pages 116-134.
    18. Siegfried Berninghaus & Werner Güth & Stephan Schosser, 2013. "Reciprocity in Locating Contributions: Experiments on the Neighborhood Public Good Game," Games, MDPI, vol. 4(2), pages 1-19, April.
    19. Felix Kölle & Simone Quercia & Egon Tripodi, 2023. "Social Preferences under the Shadow of the Future," Rationality and Competition Discussion Paper Series 406, CRC TRR 190 Rationality and Competition.
    20. Chaudhuri, Ananish & Paichayontvijit, Tirnud & Smith, Alexander, 2017. "Belief heterogeneity and contributions decay among conditional cooperators in public goods games," Journal of Economic Psychology, Elsevier, vol. 58(C), pages 15-30.

    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:pone00:0137435. 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.