IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v6y2015i4p574-587d58225.html
   My bibliography  Save this article

Commitment to Cooperation and Peer Punishment: Its Evolution

Author

Listed:
  • Tatsuya Sasaki

    (Faculty of Mathematics, University of Vienna, Vienna 1090, Austria)

  • Isamu Okada

    (Department of Business Administration, Soka University, Tokyo 192-8577, Japan
    Department of Information Systems and Operations, Vienna University of Economics and Business, Vienna 1020, Austria)

  • Satoshi Uchida

    (Research Center, RINRI Institute, Tokyo 101-8385, Japan)

  • Xiaojie Chen

    (School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China)

Abstract

Theoretical and empirical studies have generally weighed the effect of peer punishment and pool punishment for sanctioning free riders separately. However, these sanctioning mechanisms often pose a puzzling tradeoff between efficiency and stability in detecting and punishing free riders. Here, we combine the key aspects of these qualitatively different mechanisms in terms of evolutionary game theory. Based on the dilemmatic donation game, we introduce a strategy of commitment to both cooperation and peer punishment. To make the commitment credible, we assume that those willing to commit have to make a certain deposit. The deposit will be refunded as long as the committers faithfully cooperate in the donation game and punish free riders and non-committers. It turns out that the deposit-based commitment offers both the efficiency of peer punishment and the stability of pool punishment and that the replicator dynamics lead to transitions of different systems: pool punishment to commitment to peer punishment.

Suggested Citation

  • Tatsuya Sasaki & Isamu Okada & Satoshi Uchida & Xiaojie Chen, 2015. "Commitment to Cooperation and Peer Punishment: Its Evolution," Games, MDPI, vol. 6(4), pages 1-14, November.
    • Handle: RePEc:gam:jgames:v:6:y:2015:i:4:p:574-587:d:58225
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/6/4/574/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2073-4336/6/4/574/
    Download Restriction: no
    ---><---

    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. Gerber, Anke & Wichardt, Philipp C., 2009. "Providing public goods in the absence of strong institutions," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 429-439, April.
    3. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    4. Casari, Marco & Luini, Luigi, 2009. "Cooperation under alternative punishment institutions: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 273-282, August.
    5. Kenju Kamei & Louis Putterman & Jean-Robert Tyran, 2015. "State or nature? Endogenous formal versus informal sanctions in the voluntary provision of public goods," Experimental Economics, Springer;Economic Science Association, vol. 18(1), pages 38-65, March.
    6. 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.
    7. Egloff, Boris & Richter, David & Schmukle, Stefan C., 2013. "Need for Conclusive Evidence that Positive and Negative Reciprocity are Unrelated," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 110(9), pages 786-786.
    8. Nikiforakis, Nikos, 2008. "Punishment and counter-punishment in public good games: Can we really govern ourselves," Journal of Public Economics, Elsevier, vol. 92(1-2), pages 91-112, February.
    9. Andrew M. Colman, 2006. "The puzzle of cooperation," Nature, Nature, vol. 440(7085), pages 744-745, April.
    10. Isamu Okada & Hitoshi Yamamoto & Fujio Toriumi & Tatsuya Sasaki, 2015. "The Effect of Incentives and Meta-incentives on the Evolution of Cooperation," PLOS Computational Biology, Public Library of Science, vol. 11(5), pages 1-17, May.
    11. 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.
    12. Todd Cherry & David McEvoy, 2013. "Enforcing Compliance with Environmental Agreements in the Absence of Strong Institutions: An Experimental Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 54(1), pages 63-77, January.
    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. Quan, Ji & Nie, Jiacheng & Chen, Wenman & Wang, Xianjia, 2022. "Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Tatsuya Sasaki & Hitoshi Yamamoto & Isamu Okada & Satoshi Uchida, 2017. "The Evolution of Reputation-Based Cooperation in Regular Networks," Games, MDPI, vol. 8(1), pages 1-16, January.
    3. Appelbaum, Elie & Katz, Eliakim, 2022. "Bonding by guilt: A resolution of the finite horizon prisoners’ dilemma," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 100(C).
    4. 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.
    5. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    6. Han, The Anh & Lenaerts, Tom & Santos, Francisco C. & Pereira, Luís Moniz, 2022. "Voluntary safety commitments provide an escape from over-regulation in AI development," Technology in Society, Elsevier, vol. 68(C).
    7. 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).
    8. Guo, Shiqiang & Wang, Juan & Zhao, Dawei & Xia, Chengyi, 2023. "Role of second-order reputation evaluation in the multi-player snowdrift game on scale-free simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    9. 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).
    10. Theodor Cimpeanu & Francisco C. Santos & The Anh Han, 2023. "Does Spending More Always Ensure Higher Cooperation? An Analysis of Institutional Incentives on Heterogeneous Networks," Dynamic Games and Applications, Springer, vol. 13(4), pages 1236-1255, December.
    11. Ohdaira, Tetsushi, 2017. "Characteristics of the evolution of cooperation by the probabilistic peer-punishment based on the difference of payoff," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 77-83.

    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. 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.
    2. 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.
    3. Kamei, Kenju & Putterman, Louis, 2015. "In broad daylight: Fuller information and higher-order punishment opportunities can promote cooperation," Journal of Economic Behavior & Organization, Elsevier, vol. 120(C), pages 145-159.
    4. Loukas Balafoutas & Nikos Nikiforakis & Bettina Rockenbach, 2016. "Altruistic punishment does not increase with the severity of norm violations in the field," Nature Communications, Nature, vol. 7(1), pages 1-6, December.
    5. Fujio Toriumi & Hitoshi Yamamoto & Isamu Okada, 2020. "A belief in rewards accelerates cooperation on consumer-generated media," Journal of Computational Social Science, Springer, vol. 3(1), pages 19-31, April.
    6. Wang, Jianwei & Yu, Fengyuan & He, Jialu & Chen, Wei & Xu, Wenshu & Dai, Wenhui & Ming, Yuexin, 2023. "Promotion, Disintegration and Remediation of group cooperation under heterogeneous distribution system based on peer rating," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    7. Goeschl, Timo & Haberl, Beatrix & Soldà, Alice, 2023. "How to Organize Monitoring and Punishment: Experimental Evidence," Working Papers 0737, University of Heidelberg, Department of Economics.
    8. Yamamoto, Hitoshi & Okada, Isamu, 2016. "How to keep punishment to maintain cooperation: Introducing social vaccine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 526-536.
    9. Kenju Kamei & Smriti Sharma & Matthew J. Walker, 2023. "Collective Sanction Enforcement: New Experimental Evidence from Two Societies," Keio-IES Discussion Paper Series 2023-014, Institute for Economics Studies, Keio University.
    10. Qian, Jun & Zhang, Tongda & Zhang, Yingfeng & Chai, Yueting & Sun, Xiao & Wang, Zhen, 2023. "The construction of peer punishment preference: how central power shapes prosocial and antisocial punishment behaviors," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    11. 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.
    12. Katrin Fehl & Ralf D Sommerfeld & Dirk Semmann & Hans-Jürgen Krambeck & Manfred Milinski, 2012. "I Dare You to Punish Me—Vendettas in Games of Cooperation," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-7, September.
    13. Boyu Zhang & Cong Li & Hannelore Silva & Peter Bednarik & Karl Sigmund, 2014. "The evolution of sanctioning institutions: an experimental approach to the social contract," Experimental Economics, Springer;Economic Science Association, vol. 17(2), pages 285-303, June.
    14. Nynke van Miltenburg & Wojtek Przepiorka & Vincent Buskens, 2017. "Consensual punishment does not promote cooperation in the six-person prisoner's dilemma game with noisy public monitoring," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-20, November.
    15. Liu, Jia & Riyanto, Yohanes E. & Zhang, Ruike, 2020. "Firing the right bullets: Exploring the effectiveness of the hired-gun mechanism in the provision of public goods," Journal of Economic Behavior & Organization, Elsevier, vol. 170(C), pages 222-243.
    16. Zhang, Yao & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Bi, Yan, 2024. "The influence of the heterogeneities of social institutions and individuals’ tendency to establish social institutions on cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    17. Jinkwon Lee & Sujin Min, 2021. "The effects of repeated induction of emotions on cooperation and punishment," Economic Inquiry, Western Economic Association International, vol. 59(3), pages 925-943, July.
    18. 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.
    19. Kenju Kamei & Smriti Sharma & Matthew J. Walker, 2023. "Sanction Enforcement among Third Parties:New Experimental Evidence from Two Societies," Keio-IES Discussion Paper Series 2023-010, Institute for Economics Studies, Keio University.
    20. 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.

    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:gam:jgames:v:6:y:2015:i:4:p:574-587:d:58225. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.