IDEAS home Printed from https://ideas.repec.org/p/osf/socarx/3679n_v1.html
   My bibliography  Save this paper

The evolution of cooperation in the supply chain on generalized networks with a single output

Author

Listed:
  • Nirjhor, Sams Afif
  • Liu, Fangyue
  • Nakamaru, Mayuko

Abstract

A general supply chain is a division of labor of an arbitrary number of subtasks, which has asymmetric interactions among the subtask-holder groups. To sustain a supply chain, cooperation among the subtask-holders is a must. We construct a general network model of supply chain with a finite number of roles with a single output, where the supply of faulty products is possible and a supply chain never stops on the way. We consider that cooperators and defectors exist in each subtask-holder group in a supply chain; cooperators of a subtask-holder group pay a cost of cooperation to maintain and upgrade the quality of the product, defectors however do not pay any cost, and thus the product quality reduces. In some supply chains, more cooperators upgrade the quality of the product more, and players can obtain a better reputation defined as a bonus that is given to all players. We found that the supply chain with a bonus confronts the social dilemma. We make replicator equations of asymmetric games to investigate the evolution of cooperation in a supply chain. We found that not the benefit from supply but the cost of cooperation influences the dynamics. As a result, the network structure of the supply chain never influences the dynamics. Sanction on the defectors induces the evolution of cooperation and non-linear bonus functions promote co-existences of cooperator groups and defector groups. The bonus functions determine whether the length of the supply chain promotes the evolution of cooperation or not.

Suggested Citation

  • Nirjhor, Sams Afif & Liu, Fangyue & Nakamaru, Mayuko, 2025. "The evolution of cooperation in the supply chain on generalized networks with a single output," SocArXiv 3679n_v1, Center for Open Science.
    • Handle: RePEc:osf:socarx:3679n_v1
    DOI: 10.31219/osf.io/3679n_v1
    as

    Download full text from publisher

    File URL: https://osf.io/download/680995aad7d3e8597535fe2b/
    Download Restriction: no
    File URL: https://libkey.io/10.31219/osf.io/3679n_v1?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. Hiroyasu Inoue & Yasuyuki Todo, 2019. "Firm-level propagation of shocks through supply-chain networks," Nature Sustainability, Nature, vol. 2(9), pages 841-847, September.
    2. Alex McAvoy & Benjamin Allen & Martin A. Nowak, 2020. "Social goods dilemmas in heterogeneous societies," Nature Human Behaviour, Nature, vol. 4(8), pages 819-831, August.
    3. Alex McAvoy & Christoph Hauert, 2015. "Asymmetric Evolutionary Games," PLOS Computational Biology, Public Library of Science, vol. 11(8), pages 1-26, August.
    4. Utomo, Dhanan Sarwo & Onggo, Bhakti Stephan & Eldridge, Stephen, 2018. "Applications of agent-based modelling and simulation in the agri-food supply chains," European Journal of Operational Research, Elsevier, vol. 269(3), pages 794-805.
    5. Beamon, Benita M., 1998. "Supply chain design and analysis:: Models and methods," International Journal of Production Economics, Elsevier, vol. 55(3), pages 281-294, August.
    6. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    7. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    8. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    9. 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.
    Full references (including those not matched with items on IDEAS)

    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. Arnaud Z. Dragicevic, 2025. "The Price Identity of Replicator(–Mutator) Dynamics on Graphs with Quantum Strategies in a Public Goods Game," Dynamic Games and Applications, Springer, vol. 15(1), pages 74-102, March.
    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. Lu, Kun & Wu, Bin & Li, Ming-chu & Wang, Zhen, 2014. "Other-regarding preference causing ping-pong effect in self-questioning game," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 51-58.
    4. Christian Hilbe & Maria Kleshnina & Kateřina Staňková, 2023. "Evolutionary Games and Applications: Fifty Years of ‘The Logic of Animal Conflict’," Dynamic Games and Applications, Springer, vol. 13(4), pages 1035-1048, December.
    5. Faqi Du & Feng Fu, 2011. "Partner Selection Shapes the Strategic and Topological Evolution of Cooperation," Dynamic Games and Applications, Springer, vol. 1(3), pages 354-369, September.
    6. Yao Meng & Sean P. Cornelius & Yang-Yu Liu & Aming Li, 2024. "Dynamics of collective cooperation under personalised strategy updates," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    7. 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.
    8. Quan, Ji & Cui, Shihui & Chen, Wenman & Wang, Xianjia, 2023. "Reputation-based probabilistic punishment on the evolution of cooperation in the spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    9. 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).
    10. Shimpei Koike & Mayuko Nakamaru & Tokinao Otaka & Hajime Shimao & Ken-Ichi Shimomura & Takehiko Yamato, 2018. "Reciprocity and exclusion in informal financial institutions: An experimental study of rotating savings and credit associations," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-23, August.
    11. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    12. Wang, Jianwei & Xu, Wenshu & Yu, Fengyuan & He, Jialu & Chen, Wei & Dai, Wenhui, 2024. "Evolution of cooperation under corrupt institutions," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    13. Rezaei, Golriz & Kirley, Michael, 2012. "Dynamic social networks facilitate cooperation in the N-player Prisoner’s Dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6199-6211.
    14. Zhang, Chunyan & Zhang, Jianlei & Xie, Guangming, 2014. "Evolution of cooperation among game players with non-uniform migration scopes," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 103-111.
    15. Mayuko Nakamaru & Akira Yokoyama, 2014. "The Effect of Ostracism and Optional Participation on the Evolution of Cooperation in the Voluntary Public Goods Game," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-9, September.
    16. Quan, Ji & Zhou, Yawen & Wang, Xianjia & Yang, Jian-Bo, 2020. "Information fusion based on reputation and payoff promotes cooperation in spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    17. Kurokawa, Shun, 2019. "How memory cost, switching cost, and payoff non-linearity affect the evolution of persistence," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 174-192.
    18. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Gu, Cuiling, 2022. "The rise and fall of cooperation in populations with multiple groups," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    19. Qu, Xinglong & Zhou, Changli & Cao, Zhigang & Yang, Xiaoguang, 2016. "Conditional dissociation as a punishment mechanism in the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 215-223.
    20. Christopher Graser & Takako Fujiwara-Greve & Julian García & Matthijs van Veelen, 2024. "Repeated games with partner choice," Tinbergen Institute Discussion Papers 24-038/I, Tinbergen Institute.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:osf:socarx:3679n_v1. 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: OSF (email available below). General contact details of provider: https://arabixiv.org .

    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.