IDEAS home Printed from https://ideas.repec.org/a/gam/jijerp/v15y2018i7p1303-d153757.html
   My bibliography  Save this article

An Economic Model of Human Cooperation Based on Indirect Reciprocity and Its Implication on Environmental Protection

Author

Listed:
  • Jugui Dai

    (School of Economics, Zhejiang University, Hangzhou 310027, China
    College of Business, Wenzhou University, Wenzhou 325035, China)

  • Yiqiang Zhang

    (Xulun Honor School, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China)

  • Victor Shi

    (School of Business and Economics, Wilfrid Laurier University, Waterloo, ON N2N1E9, Canada)

Abstract

There has been an urgent challenge for environmental protection due to issues like population increase, climate change, and pollution. To address this challenge, sustained human cooperation is critical. However, how cooperation in human beings evolves is one of the 125 most challenging scientific questions, as announced by Science in its 125th anniversary. In this paper, we contribute to answering this question by building an economic game model based on indirect reciprocity and altruism behavior. In our model, there are three types of participants: cooperator, defector, and discriminator. In every round of the game, the cooperator chooses cooperation, the defector chooses non-cooperation, and the choice of the discriminator depends on the choice of his partner in the last round. Our analysis and main result shows that there is no stable evolution equilibrium in this game, which implies that the proportions of different types of players will keep changing instead of reaching a stable equilibrium. In other words, there is no guarantee that cooperation will be dominant in this game. An implication of this result is that to achieve cooperation and protect the environment more effectively, cooperators and discriminators in our society should be provided with incentives.

Suggested Citation

  • Jugui Dai & Yiqiang Zhang & Victor Shi, 2018. "An Economic Model of Human Cooperation Based on Indirect Reciprocity and Its Implication on Environmental Protection," IJERPH, MDPI, vol. 15(7), pages 1-9, June.
  • Handle: RePEc:gam:jijerp:v:15:y:2018:i:7:p:1303-:d:153757
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1660-4601/15/7/1303/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1660-4601/15/7/1303/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tanimoto, Jun & Sagara, Hirokji, 2015. "How the indirect reciprocity with co-evolving norm and strategy for 2 × 2 prisoner’s dilemma game works for emerging cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 595-602.
    2. Andrew M. Colman, 2006. "The puzzle of cooperation," Nature, Nature, vol. 440(7085), pages 744-745, April.
    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. Shaohua He & Lei Liu & Qi Liu & Shaoling Fu, 2024. "Creating social value through operational supply chain transparency," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 31(3), pages 2333-2351, May.

    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. Wu, Yu’e & Zhang, Zhipeng & Yang, Guoli & Liu, Haixin & Zhang, Qingfeng, 2022. "Evolution of cooperation driven by diversity on a double-layer square lattice," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Wenman Chen & Ji Quan & Xianjia Wang, 2024. "The emergence and maintenance of cooperation in the public goods game under stochastic strategy updating rule with preference," Dynamic Games and Applications, Springer, vol. 14(5), pages 1225-1237, November.
    3. Mao, Fubing & Ma, Lijia & He, Qiang & Xiao, Gaoxi, 2020. "Match making in complex social networks," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    4. Lv, Shaojie & Wang, Xianjia, 2020. "The impact of heterogeneous investments on the evolution of cooperation in public goods game with exclusion," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    5. Hang Ye & Fei Tan & Mei Ding & Yongmin Jia & Yefeng Chen, 2011. "Sympathy and Punishment: Evolution of Cooperation in Public Goods Game," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 14(4), pages 1-20.
    6. Lu, Wen & Liang, Shu, 2023. "Direct emotional interaction in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    7. 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).
    8. Marosán, György, 2007. "A proszociális értékek evolúciója a játékelméleti kísérletek tükrében [The evolution of pro-social values, in the light of game-theory experiments]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 716-733.
    9. 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.
    10. 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.
    11. Du, Chunpeng & Guo, Keyu & Lu, Yikang & Jin, Haoyu & Shi, Lei, 2023. "Aspiration driven exit-option resolves social dilemmas in the network," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    12. Karl Sigmund & Christoph Hauert & Arne Traulsen & Hannelore Silva, 2011. "Social Control and the Social Contract: The Emergence of Sanctioning Systems for Collective Action," Dynamic Games and Applications, Springer, vol. 1(1), pages 149-171, March.
    13. Wang, Xianjia & Chen, Wenman, 2020. "Evolutionary dynamics in spatial threshold public goods game with the asymmetric return rate mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    14. Wang, Xianjia & Lv, Shaojie, 2019. "The roles of particle swarm intelligence in the prisoner’s dilemma based on continuous and mixed strategy systems on scale-free networks," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 213-220.
    15. Ren, Tianyu & Zheng, Junjun, 2021. "Evolutionary dynamics in the spatial public goods game with tolerance-based expulsion and cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    16. Lu, Shounan & Zhu, Ge & Zhang, Lianzhong, 2023. "Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    17. Wang, Qiang & He, Nanrong & Chen, Xiaojie, 2018. "Replicator dynamics for public goods game with resource allocation in large populations," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 162-170.
    18. Gilbert Roberts, 2013. "When Punishment Pays," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-8, March.
    19. Li, Yan & Ye, Hang, 2018. "Effect of the migration mechanism based on risk preference on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 621-632.
    20. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.

    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:jijerp:v:15:y:2018:i:7:p:1303-:d:153757. 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.