IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v172y2023ics0960077923004538.html
   My bibliography  Save this article

The evolution of cooperation in voluntary public goods game with shared-punishment

Author

Listed:
  • Lv, Shaojie
  • Li, Jiaying
  • Zhao, Changheng

Abstract

A large number of theoretical and experimental studies have shown that punishment and voluntary participation can promote cooperation, which offers an explanation for the emergence of cooperation. In this paper, individuals can freely choose whether to participate in the public goods game, and cooperators perform both cooperation and punishment. On the one hand, cooperators invest in public goods, and on the other hand, they punish the defectors and share the cost of punishment. Furthermore, considering the impact of population structure, we investigate the evolution of cooperation in well-mixed populations with the replicator dynamics and structured populations with the Fermi update rule, respectively. Our results indicate that the evolution of cooperation is obviously different between the two populations. In well-mixed populations, the voluntary participation mechanism prevents defection from becoming an evolutionary stable strategy. When the fine is low, the strategy of non-participation will be the only evolutionary stable strategy. With the increase of the fine, both cooperation and non-participation will be the evolutionary stable strategies. When the fine is high, cooperation will become the only evolutionary stable strategy. In structured populations, cooperators, defectors and loners can coexist under mild punishment, which means that population structure is favorable to the emergence of cooperation. However, cooperators occupy the population with higher fine threshold compared to well-mixed populations, which indicates that population structure is not always favorable to the evolution of cooperation.

Suggested Citation

  • Lv, Shaojie & Li, Jiaying & Zhao, Changheng, 2023. "The evolution of cooperation in voluntary public goods game with shared-punishment," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    • Handle: RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004538
    DOI: 10.1016/j.chaos.2023.113552
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923004538
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.113552?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. Andreoni, James, 1988. "Why free ride? : Strategies and learning in public goods experiments," Journal of Public Economics, Elsevier, vol. 37(3), pages 291-304, December.
    3. Benjamin Allen & Gabor Lippner & Yu-Ting Chen & Babak Fotouhi & Naghmeh Momeni & Shing-Tung Yau & Martin A. Nowak, 2017. "Evolutionary dynamics on any population structure," Nature, Nature, vol. 544(7649), pages 227-230, April.
    4. Jeromos Vukov & Flávio L Pinheiro & Francisco C Santos & Jorge M Pacheco, 2013. "Reward from Punishment Does Not Emerge at All Costs," PLOS Computational Biology, Public Library of Science, vol. 9(1), pages 1-6, January.
    5. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    6. Alam, Muntasir & Nagashima, Keisuke & Tanimoto, Jun, 2018. "Various error settings bring different noise-driven effects on network reciprocity in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 338-346.
    7. Nichola Raihani & David Aitken, 2011. "Uncertainty, rationality and cooperation in the context of climate change," Climatic Change, Springer, vol. 108(1), pages 47-55, September.
    8. Hajime Shimao & Mayuko Nakamaru, 2013. "Strict or Graduated Punishment? Effect of Punishment Strictness on the Evolution of Cooperation in Continuous Public Goods Games," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-10, March.
    9. Andreoni, James & Gee, Laura K., 2012. "Gun for hire: Delegated enforcement and peer punishment in public goods provision," Journal of Public Economics, Elsevier, vol. 96(11), pages 1036-1046.
    10. Karl Sigmund & Hannelore De Silva & Arne Traulsen & Christoph Hauert, 2010. "Social learning promotes institutions for governing the commons," Nature, Nature, vol. 466(7308), pages 861-863, August.
    11. David G. Rand & Martin A. Nowak, 2011. "The evolution of antisocial punishment in optional public goods games," Nature Communications, Nature, vol. 2(1), pages 1-7, September.
    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. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Supporting punishment via taxation in a structured population," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Tatsuya Sasaki & Satoshi Uchida & Isamu Okada & Hitoshi Yamamoto, 2024. "The Evolution of Cooperation and Diversity under Integrated Indirect Reciprocity," Games, MDPI, vol. 15(2), pages 1-16, April.
    3. Zhang, Qianwei & Tang, Rui & Lu, Yilun & Wang, Xinyu, 2024. "The impact of anxiety on cooperative behavior: A network evolutionary game theory approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    4. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(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. Perc, Matjaž & Grigolini, Paolo, 2013. "Collective behavior and evolutionary games – An introduction," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 1-5.
    2. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.
    3. Zheng, Junjun & Ren, Tianyu & Ma, Gang & Dong, Jinhui, 2021. "The emergence and implementation of pool exclusion in spatial public goods game with heterogeneous ability-to-pay," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    4. Bin Wu & Julián García & Christoph Hauert & Arne Traulsen, 2013. "Extrapolating Weak Selection in Evolutionary Games," PLOS Computational Biology, Public Library of Science, vol. 9(12), pages 1-7, December.
    5. Christiane Reif & Dirk Rübbelke & Andreas Löschel, 2017. "Improving Voluntary Public Good Provision Through a Non-governmental, Endogenous Matching Mechanism: Experimental Evidence," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(3), pages 559-589, July.
    6. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    7. 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.
    8. Lv, Shaojie & Song, Feifei, 2022. "Particle swarm intelligence and the evolution of cooperation in the spatial public goods game with punishment," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    9. Tatsuya Sasaki, 2014. "The Evolution of Cooperation Through Institutional Incentives and Optional Participation," Dynamic Games and Applications, Springer, vol. 4(3), pages 345-362, September.
    10. Satoshi Uchida & Hitoshi Yamamoto & Isamu Okada & Tatsuya Sasaki, 2019. "Evolution of Cooperation with Peer Punishment under Prospect Theory," Games, MDPI, vol. 10(1), pages 1-13, February.
    11. Astrid Dannenberg & Carlo Gallier, 2020. "The choice of institutions to solve cooperation problems: a survey of experimental research," Experimental Economics, Springer;Economic Science Association, vol. 23(3), pages 716-749, September.
    12. Zhang, Boyu & An, Xinmiao & Dong, Yali, 2021. "Conditional cooperator enhances institutional punishment in public goods game," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    13. Flores, Lucas S. & Han, The Anh, 2024. "Evolution of commitment in the spatial public goods game through institutional incentives," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    14. Dirk Engelmann & Nikos Nikiforakis, 2015. "In the long-run we are all dead: on the benefits of peer punishment in rich environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(3), pages 561-577, October.
    15. Dai, Zhixin & Hogarth, Robin M. & Villeval, Marie Claire, 2015. "Ambiguity on audits and cooperation in a public goods game," European Economic Review, Elsevier, vol. 74(C), pages 146-162.
    16. Gangadharan, Lata & Nikiforakis, Nikos & Villeval, Marie Claire, 2017. "Normative conflict and the limits of self-governance in heterogeneous populations," European Economic Review, Elsevier, vol. 100(C), pages 143-156.
    17. Fulin Guo, 2023. "Experience-weighted attraction learning in network coordination games," Papers 2310.18835, arXiv.org.
    18. Swallow, Stephen K., 2013. "Demand-side Value for Ecosystem Services and Implications for Innovative Markets: Experimental Perspectives on the Possibility of Private Markets for Public Goods," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 42(1), pages 1-24, April.
    19. Rebekka Kesberg & Stefan Pfattheicher, 2019. "Democracy matters: a psychological perspective on the beneficial impact of democratic punishment systems in social dilemmas," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-13, December.
    20. Tetsushi Ohdaira, 2021. "Cooperation evolves by the payoff-difference-based probabilistic reward," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-8, November.

    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:eee:chsofr:v:172:y:2023:i:c:s0960077923004538. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.