Skip to main content
Log in

Voluntary play increases cooperation in the presence of punishment: a lab in the field experiment

  • Published:
Theory and Decision Aims and scope Submit manuscript

Abstract

Problems of cooperation have often been simplified as the choice between defection and cooperation, although in many empirical situations it is also possible to walk away from the interaction. We present the results of two lab-in-the-field experiments with a diverse pool of subjects who play optional and compulsory public goods games both with and without punishment. We find that the most important institution to foster cooperation is punishment, which is more effective in a compulsory game. In contrast to Rand and Nowak (Nat Commun 2(1):1–7, 2011), we find that loners are not responsible for anti-social punishment, which is mostly imputable to low-contributors (free-riders). Loners neither totally free-ride nor they significantly punish cooperators (or other types of players): they simply avoid all forms of participation whenever possible.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Data availability statement

The dataset generated and analysed in the current study is available from the corresponding author upon request.

Notes

  1. We however report results for E1 and E2 separately in supplementary material, with qualitatively equivalent results.

References

  • Aktipis, C. A. (2004). Know when to walk away: Contingent movement and the evolution of cooperation. Journal of Theoretical Biology, 231(2), 249–260.

    Article  Google Scholar 

  • Batali, J., & Kitcher, P. (1995). Evolution of altriusm in optional and compulsory games. Journal of Theoretical Biology, 175(2), 161–171.

    Article  Google Scholar 

  • Bicchieri, C. (1997). The complexity of cooperation: Agent-based models of competition and collaboration (Vol. 3). Princeton University Press.

    Google Scholar 

  • Bicchieri, C. (2005). The grammar of society: The nature and dynamics of social norms. Cambridge University Press.

    Book  Google Scholar 

  • Bigoni, M., Bortolotti, S., Casari, M., Gambetta, D., & Pancotto, F. (2016). Amoral familism, social capital, or trust? The behavioural foundations of the Italian north-south divide. The Economic Journal, 126(594), 1318–1341.

    Article  Google Scholar 

  • Bochet, O., Page, T., & Putterman, L. (2006). Communication and punishment in voluntary contribution experiments. Journal of Economic Behavior and Organization, 60(1), 11–26.

    Article  Google Scholar 

  • Boyd, R., Gintis, H., Bowles, S., & Richerson, P. J. (2003). The evolution of altruistic punishment. Proceedings of the National Academy of Sciences, 100(6), 3531–3535.

    Article  Google Scholar 

  • Brandt, H., Hauert, C., & Sigmund, K. (2006). Punishing and abstaining for public goods. Proceedings of the National Academy of Sciences, 103(2), 495–497.

    Article  Google Scholar 

  • Bravo, G., Squazzoni, F., & Takács, K. (2015). Intermediaries in trust: Indirect reciprocity, incentives, and norms. Journal of Applied Mathematics, 2015(S13), 1–12.

    Article  Google Scholar 

  • Brekke, K. A., Hauge, K. E., Lind, J. T., & Nyborg, K. (2011). Playing with the good guys. A public good game with endogenous group formation. Journal of Public Economics, 95(9–10), 1111–1118.

    Article  Google Scholar 

  • Castro, L., & Toro, M. A. (2008). Iterated prisoner’s dilemma in an asocial world dominated by loners, not by defectors. Theoretical Population Biology, 74(1), 1–5.

    Article  Google Scholar 

  • Chakravarty, S., & Fonseca, M. A. (2017). Discrimination via exclusion: An experiment on group identity and club goods. Journal of Public Economic Theory, 19(1), 244–263.

    Article  Google Scholar 

  • Chaudhuri, A. (2011). Sustaining cooperation in laboratory public goods experiments: A selective survey of the literature. Experimental Economics, 14(1), 47–83.

    Article  Google Scholar 

  • Chen, D. L., Schonger, M., & Wickens, C. (2016). otree—an open-source platform for laboratory, online, and field experiments. Journal of Behavioral and Experimental Finance, 9, 88–97.

    Article  Google Scholar 

  • Chen, X., Szolnoki, A., & Perc, M. (2015). Competition and cooperation among different punishing strategies in the spatial public goods game. Physical Review E, 92(1), 012819.

    Article  Google Scholar 

  • Ehrhart, K.-M., Keser, C., et al. (1999). Mobility and cooperation: On the run. Technical report, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich.

  • Fang, Y., Benko, T. P., Perc, M., Xu, H., & Tan, Q. (2019). Synergistic third-party rewarding and punishment in the public goods game. Proceedings of the Royal Society A, 475(2227), 20190349.

    Article  Google Scholar 

  • Fehr, E., & Fischbacher, U. (2004). Third-party punishment and social norms. Evolution and Human Behavior, 25(2), 63–87.

    Article  Google Scholar 

  • Fehr, E., & Gächter, S. (2000). Cooperation and punishment in public goods experiments. American Economic Review, 90(4), 980–994.

    Article  Google Scholar 

  • Fowler, J. H. (2005). Altruistic punishment and the origin of cooperation. Proceedings of the National Academy of Sciences, 102(19), 7047–7049.

    Article  Google Scholar 

  • Garcia, J., & Traulsen, A. (2012). Leaving the loners alone: Evolution of cooperation in the presence of antisocial punishment. Journal of Theoretical Biology, 307, 168–173.

    Article  Google Scholar 

  • Hauert, C., De Monte, S., Hofbauer, J., & Sigmund, K. (2002). Replicator dynamics for optional public good games. Journal of Theoretical Biology, 218(2), 187–194.

    Article  Google Scholar 

  • Hauert, C., De Monte, S., Hofbauer, J., & Sigmund, K. (2002). Volunteering as red queen mechanism for cooperation in public goods games. Science, 296(5570), 1129–1132.

    Article  Google Scholar 

  • Hauert, C., Traulsen, A., Brandt, H., Nowak, M. A., & Sigmund, K. (2007). Via freedom to coercion: The emergence of costly punishment. Science, 316(5833), 1905–1907.

    Article  Google Scholar 

  • Hauk, E. (2003). Multiple prisoner’s dilemma games with (out) an outside option: An experimental study. Theory and Decision, 54(3), 207–229.

    Article  Google Scholar 

  • Helbing, D., Szolnoki, A., Perc, M., & Szabó, G. (2010). Punish, but not too hard: How costly punishment spreads in the spatial public goods game. New Journal of Physics, 12(8), 083005.

    Article  Google Scholar 

  • Herrmann, B., Thoni, C., & Gachter, S. (2008). Antisocial punishment across societies. Science, 319(5868), 1362–1367.

    Article  Google Scholar 

  • Liu, L., Chen, X., & Perc, M. (2019). Evolutionary dynamics of cooperation in the public goods game with pool exclusion strategies. Nonlinear Dynamics, 97(1), 749–766.

    Article  Google Scholar 

  • Liu, L., Wang, S., Chen, X., & Perc, M. (2018). Evolutionary dynamics in the public goods games with switching between punishment and exclusion. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(10), 103105.

    Article  Google Scholar 

  • Macy, M. W., & Skvoretz, J. (1998). The evolution of trust and cooperation between strangers: A computational model. American Sociological Review, 63(15), 638–660.

    Article  Google Scholar 

  • My, K. B., & Chalvignac, B. (2010). Voluntary participation and cooperation in a collective-good game. Journal of Economic Psychology, 31(4), 705–718.

    Article  Google Scholar 

  • Nosenzo, D., & Tufano, F. (2017). The effect of voluntary participation on cooperation. Journal of Economic Behavior and Organization, 142, 307–319.

    Article  Google Scholar 

  • Orbell J. M, & Dawes, R. M. (1993). Social welfare, cooperators’ advantage, and the option of not playing the game. American Sociological Review, 58(6), 787–800. https://doi.org/10.2307/2095951

    Article  Google Scholar 

  • Page, T., Putterman, L., & Unel, B. (2005). Voluntary association in public goods experiments: Reciprocity, mimicry and efficiency. The Economic Journal, 115(506), 1032–1053.

    Article  Google Scholar 

  • Pancotto, F., & Righi, S. (2021). Reflectivity relates differently to pro sociality in naïve and strategic subjects. Scientific Reports, 11(1), 1–15. https://doi.org/10.1038/s41598-021-91960-3

    Article  Google Scholar 

  • Phelan, S. E., Arend, R. J., & Seale, D. A. (2005). Using an iterated prisoner’s dilemma with exit option to study alliance behavior: Results of a tournament and simulation. Computational and Mathematical Organization Theory, 11(4), 339–356.

    Article  Google Scholar 

  • Podder, S., Righi, S., & Pancotto, F. (2021). Reputation and punishment sustain cooperation in the optional public goods game. Philosophical Transactions of the Royal Society B, 376(1838), 20200293. https://doi.org/10.1098/rstb.2020.0293

    Article  Google Scholar 

  • Podder, S., Righi, S., & Takács, K. (2021). Local reputation, local selection, and the leading eight norms. Scientific Reports, 11(1), 1–10. https://doi.org/10.1038/s41598-021-95130-3

    Article  Google Scholar 

  • Rand, D. G., & Nowak, M. A. (2011). The evolution of antisocial punishment in optional public goods games. Nature Communications, 2(1), 1–7.

    Article  Google Scholar 

  • Righi, S., & Takács, K. (2022) Gossip: Perspective taking to establish cooperation. Dyn Games Appl, 12, 1086–1100. https://doi.org/10.1007/s13235-022-00440-4

    Article  Google Scholar 

  • Riolo, R. L., Cohen, M. D., & Axelrod, R. (2001). Evolution of cooperation without reciprocity. Nature, 414(6862), 441–443.

    Article  Google Scholar 

  • Schuessler, R. (1989). Exit threats and cooperation under anonymity. Journal of Conflict Resolution, 33(4), 728–749.

    Article  Google Scholar 

  • Seale, D. A., Arend, R. J., & Phelan, S. (2006). Modeling alliance activity: Opportunity cost effects and manipulations in an iterated prisoner’s dilemma with exit option. Organizational Behavior and Human Decision Processes, 100(1), 60–75.

    Article  Google Scholar 

  • Selten, R., Abbink, K., Buchta, J., & Sadrieh, A. (2003). How to play (3\(\times\) 3)-games: A strategy method experiment. Games and Economic Behavior, 45(1), 19–37.

    Article  Google Scholar 

  • Semmann, D., Krambeck, H.-J., & Milinski, M. (2003). Volunteering leads to rock-paper-scissors dynamics in a public goods game. Nature, 425(6956), 390–393.

    Article  Google Scholar 

  • Trivers, R. L. (1971). The evolution of reciprocal altruism. The Quarterly review of Biology, 46(1), 35–57.

    Article  Google Scholar 

  • Vanberg, V. J., & Congleton, R. D. (1992). Rationality, morality, and exit. American Political Science Review, 86(2), 418–431.

    Article  Google Scholar 

Download references

Funding

Funding for the experiment was received by Università Degli Studi di Modena e Reggio Emila. SR gratefully acknowledges funding from “Fondi primo insediamento” of the Ca’Foscari University of Venice and from the Italian Minister of University and Research (MUR) under Research Projects of National Relevance (PRIN), project code 2020SKJSTF (“At the frontier of agent-based modelling: a new data driven framework for policy design toward sustainable and resilient economies”). KT acknowledges support of the Hungarian Scientific Research Fund, Grant Number FK 137765688 (PI: Dorottya Kisfalusi).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Francesca Pancotto.

Ethics declarations

Conflict of interest

Partial financial support was received from University of Modena. All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (PDF 1610 KB)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pancotto, F., Righi, S. & Takács, K. Voluntary play increases cooperation in the presence of punishment: a lab in the field experiment. Theory Decis 95, 405–428 (2023). https://doi.org/10.1007/s11238-023-09929-9

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11238-023-09929-9

Keywords

Navigation