IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0131419.html
   My bibliography  Save this article

Group Size Effect on Cooperation in One-Shot Social Dilemmas II: Curvilinear Effect

Author

Listed:
  • Valerio Capraro
  • Hélène Barcelo

Abstract

In a world in which many pressing global issues require large scale cooperation, understanding the group size effect on cooperative behavior is a topic of central importance. Yet, the nature of this effect remains largely unknown, with lab experiments insisting that it is either positive or negative or null, and field experiments suggesting that it is instead curvilinear. Here we shed light on this apparent contradiction by considering a novel class of public goods games inspired to the realistic scenario in which the natural output limits of the public good imply that the benefit of cooperation increases fast for early contributions and then decelerates. We report on a large lab experiment providing evidence that, in this case, group size has a curvilinear effect on cooperation, according to which intermediate-size groups cooperate more than smaller groups and more than larger groups. In doing so, our findings help fill the gap between lab experiments and field experiments and suggest concrete ways to promote large scale cooperation among people.

Suggested Citation

  • Valerio Capraro & Hélène Barcelo, 2015. "Group Size Effect on Cooperation in One-Shot Social Dilemmas II: Curvilinear Effect," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-11, July.
  • Handle: RePEc:plo:pone00:0131419
    DOI: 10.1371/journal.pone.0131419
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0131419
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0131419&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0131419?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. John Horton & David Rand & Richard Zeckhauser, 2011. "The online laboratory: conducting experiments in a real labor market," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 399-425, September.
    2. Agrawal, Arun & Chhatre, Ashwini, 2006. "Explaining success on the commons: Community forest governance in the Indian Himalaya," World Development, Elsevier, vol. 34(1), pages 149-166, January.
    3. 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.
    4. Daniele Nosenzo & Simone Quercia & Martin Sefton, 2015. "Cooperation in small groups: the effect of group size," Experimental Economics, Springer;Economic Science Association, vol. 18(1), pages 4-14, March.
    5. 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.
    6. Bruno S. Frey & Stephan Meier, 2004. "Social Comparisons and Pro-social Behavior: Testing "Conditional Cooperation" in a Field Experiment," American Economic Review, American Economic Association, vol. 94(5), pages 1717-1722, December.
    7. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    8. Coren L. Apicella & Frank W. Marlowe & James H. Fowler & Nicholas A. Christakis, 2012. "Social networks and cooperation in hunter-gatherers," Nature, Nature, vol. 481(7382), pages 497-501, January.
    9. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    10. Martin McGuire, 1974. "Group size, group homo-geneity, and the aggregate provision of a pure public good under cournot behavior," Public Choice, Springer, vol. 18(1), pages 107-126, June.
    11. Paul Pecorino & Akram Temimi, 2008. "The Group Size Paradox Revisited," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 785-799, October.
    12. Baland, Jean-Marie & Platteau, Jean-Philippe, 1999. "The Ambiguous Impact of Inequality on Local Resource Management," World Development, Elsevier, vol. 27(5), pages 773-788, May.
    13. Chamberlin, John, 1974. "Provision of Collective Goods As a Function of Group Size," American Political Science Review, Cambridge University Press, vol. 68(2), pages 707-716, June.
    14. Haan, Marco & Kooreman, Peter, 2002. "Free riding and the provision of candy bars," Journal of Public Economics, Elsevier, vol. 83(2), pages 277-291, February.
    15. Ralph Kenna & Bertrand Berche, 2011. "Critical masses for academic research groups and consequences for higher education research policy and management," Higher Education Management and Policy, OECD Publishing, vol. 23(3), pages 1-21.
    16. Valerio Capraro, 2013. "A Model of Human Cooperation in Social Dilemmas," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-6, August.
    17. Oliver P. Hauser & David G. Rand & Alexander Peysakhovich & Martin A. Nowak, 2014. "Cooperating with the future," Nature, Nature, vol. 511(7508), pages 220-223, July.
    18. Esteban, Joan & Ray, Debraj, 2001. "Collective Action and the Group Size Paradox," American Political Science Review, Cambridge University Press, vol. 95(3), pages 663-672, September.
    19. Isaac, R. Mark & Walker, James M. & Williams, Arlington W., 1994. "Group size and the voluntary provision of public goods : Experimental evidence utilizing large groups," Journal of Public Economics, Elsevier, vol. 54(1), pages 1-36, May.
    20. Valerio Capraro & Conor Smyth & Kalliopi Mylona & Graham A Niblo, 2014. "Benevolent Characteristics Promote Cooperative Behaviour among Humans," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-6, August.
    21. R. Kenna & B. Berche, 2011. "Critical mass and the dependency of research quality on group size," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(2), pages 527-540, February.
    22. Masel, Joanna, 2007. "A Bayesian model of quasi-magical thinking can explain observed cooperation in the public good game," Journal of Economic Behavior & Organization, Elsevier, vol. 64(2), pages 216-231, October.
    23. Bruno Frey & Stephan Meier, 2004. "In a field experiment," Natural Field Experiments 00243, The Field Experiments Website.
    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. Andrea Guazzini & Mirko Duradoni & Alessandro Lazzeri & Giorgio Gronchi, 2018. "Simulating the Cost of Cooperation: A Recipe for Collaborative Problem-Solving," Future Internet, MDPI, vol. 10(6), pages 1-17, June.
    2. Angeliki Antoniou, 2019. "Compatibility of Small Team Personalities in Computer-Based Tasks," Challenges, MDPI, vol. 10(1), pages 1-12, May.
    3. Caria, A. Stefano & Fafchamps, Marcel, 2019. "Expectations, network centrality, and public good contributions: Experimental evidence from India," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 391-408.
    4. Konstantinos Georgalos & John Hey, 2020. "Testing for the emergence of spontaneous order," Experimental Economics, Springer;Economic Science Association, vol. 23(3), pages 912-932, September.
    5. Philipp Chapkovski, 2021. "Strike one hundred to educate one: Measuring the efficacy of collective sanctions experimentally," PLOS ONE, Public Library of Science, vol. 16(4), pages 1-21, April.
    6. Wooyoung Lim & Pengfei Zhang, 2020. "Herd immunity and a vaccination game: An experimental study," PLOS ONE, Public Library of Science, vol. 15(5), pages 1-16, May.
    7. Yanling Zhang & Feng Fu, 2018. "Strategy intervention for the evolution of fairness," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-13, May.
    8. Anna Laura Huckelba & Paul A. M. Van Lange, 2020. "The Silent Killer: Consequences of Climate Change and How to Survive Past the Year 2050," Sustainability, MDPI, vol. 12(9), pages 1-22, May.
    9. Wojtek Przepiorka & Andreas Diekmann, 2018. "Heterogeneous groups overcome the diffusion of responsibility problem in social norm enforcement," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-18, November.
    10. Li, Yumeng & Wang, Hanchen & Du, Wenbo & Perc, Matjaž & Cao, Xianbin & Zhang, Jun, 2019. "Resonance-like cooperation due to transaction costs in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 248-257.
    11. Arnaud Tognetti & David Doat & Dimitri Dubois & Rustam Romaniuc, 2019. "Does the presence of a physically disabled person in the group increase cooperation? An experimental test of the empathyaltruism hypothesis," Working Papers halshs-02103832, HAL.
    12. Tverskoi, Denis & Senthilnathan, Athmanathan & Gavrilets, Sergey, 2021. "The dynamics of cooperation, power, and inequality in a group-structured society," SocArXiv 24svr, Center for Open Science.
    13. Płatkowski, Tadeusz, 2022. "Cooperation in multi-person social dilemmas with other-regarding orientations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    14. Antoni Bosch-Domènech & Joaquim Silvestre, 2015. "The role of frames, numbers and risk in the frequency of cooperation," Economics Working Papers 1501, Department of Economics and Business, Universitat Pompeu Fabra.

    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. Antoni Bosch-Domènech & Joaquim Silvestre, 2017. "The role of frames, numbers and risk in the frequency of cooperation," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 64(3), pages 245-267, September.
    2. Kim, Jeongbin & Putterman, Louis & Zhang, Xinyi, 2022. "Trust, Beliefs and Cooperation: Excavating a Foundation of Strong Economies," European Economic Review, Elsevier, vol. 147(C).
    3. 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.
    4. Jan Schmitz, 2019. "When Two Become One: How Group Mergers Affect Solidarity," Games, MDPI, vol. 10(3), pages 1-42, July.
    5. Crawford, Ian & Harris, Donna, 2018. "Social interactions and the influence of “extremists”," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 238-266.
    6. Gächter, Simon & Kölle, Felix & Quercia, Simone, 2022. "Preferences and perceptions in Provision and Maintenance public goods," Games and Economic Behavior, Elsevier, vol. 135(C), pages 338-355.
    7. Felix Koelle & Thomas Lauer, 2018. "Cooperation, Discounting, and the Effects of Delayed Costs and Benefits," Discussion Papers 2018-10, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    8. Dong, Bin & Dulleck, Uwe & Torgler, Benno, 2012. "Conditional corruption," Journal of Economic Psychology, Elsevier, vol. 33(3), pages 609-627.
    9. Thorsten Chmura & Christoph Engel & Markus Englerth, 2013. "Selfishness As a Potential Cause of Crime. A Prison Experiment," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2013_05, Max Planck Institute for Research on Collective Goods.
    10. 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.
    11. Luigi Butera & John A. List, 2017. "An Economic Approach to Alleviate the Crises of Confidence in Science: With an Application to the Public Goods Game," NBER Working Papers 23335, National Bureau of Economic Research, Inc.
    12. Giovanna d’Adda, 2012. "Leadership and influence: Evidence from an artefactual field experiment on local public good provision," ECON - Working Papers 059, Department of Economics - University of Zurich.
    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. Sung Ha Hwang, 2009. "Larger groups may alleviate collective action problems," UMASS Amherst Economics Working Papers 2009-05, University of Massachusetts Amherst, Department of Economics.
    15. Raja Rajendra Timilsina & Yoshinori Nakagawa & Yoshio Komijo & Koji Kotani & Tatsuyoshi Saijo, 2021. "Imaginary future generations: A deliberative approach for intergenerational sustainability dilemma," Working Papers SDES-2021-12, Kochi University of Technology, School of Economics and Management, revised Nov 2021.
    16. Martijn J. van den Assem & Dennie van Dolder & Richard H. Thaler, 2012. "Split or Steal? Cooperative Behavior When the Stakes Are Large," Management Science, INFORMS, vol. 58(1), pages 2-20, January.
    17. Steiger, Eva-Maria & Zultan, Ro'i, 2014. "See no evil: Information chains and reciprocity," Journal of Public Economics, Elsevier, vol. 109(C), pages 1-12.
    18. Thierry Pénard & Sylvain Dejean & Raphaël Suire, 2011. "Olson’s Paradox Revisited: An Empirical Analysis of Incentives to Contribute in P2P File-sharing Communities," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201105, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
    19. Simon Gaechter, 2014. "Human Pro-Social Motivation and the Maintenance of Social Order," CESifo Working Paper Series 4729, CESifo.
    20. Timilsina, Raja R & Kotani, Koji & Nakagawa, Yoshinori & Saijo, Tatsuyoshi, 2021. "Concerns for future generations in societies: A deliberative analysis of the intergenerational sustainability dilemma," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).

    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:pone00:0131419. 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.