IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v187y2024ics0960077924010087.html
   My bibliography  Save this article

The impact of dynamic reward on cooperation in the spatial public goods game

Author

Listed:
  • Zhang, Yali
  • Lu, Yikang
  • Jin, Haoyu
  • Dong, Yuting
  • Du, Chunpeng
  • Shi, Lei

Abstract

Debates persist regarding how different forms of rewards influence public cooperation. In many real-world scenarios, individuals who consistently honor multiple commitments receive higher credit scores than those who fulfill only one commitment. Inspired by this, herein dynamic reward is introduced into the spatial public goods game, wherein the probability of receiving a reward increases with the number of consecutive cooperations by individuals. To illustrate the role of the dynamic reward mechanism, fixed reward is used as a comparison to investigate the impact of dynamic reward on the evolution of cooperation. Through extensive simulations, we find that the phases presented by dynamic reward are more than those by fixed reward. Moreover, it is more conducive to cooperation than fixed reward, indicating that dynamic reward can more effectively resolve social dilemmas. Additionally, the higher initial probability of reward promotes the earlier emergence of cooperation. This research broadens the form of reward, enhancing our understanding of dynamic reward in promoting prosocial behaviors in the spatial public goods game.

Suggested Citation

  • Zhang, Yali & Lu, Yikang & Jin, Haoyu & Dong, Yuting & Du, Chunpeng & Shi, Lei, 2024. "The impact of dynamic reward on cooperation in the spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924010087
    DOI: 10.1016/j.chaos.2024.115456
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924010087
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115456?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. Ohdaira, Tetsushi, 2024. "The universal probabilistic reward based on the difference of payoff realizes the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Lei Shi & Ivan Romić & Yongjuan Ma & Zhen Wang & Boris Podobnik & H. Eugene Stanley & Petter Holme & Marko Jusup, 2020. "Freedom of choice adds value to public goods," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 117(30), pages 17516-17521, July.
    3. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Suppressing defection by increasing temptation: The impact of smart cooperators on a social dilemma situation," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    4. Jean Tirole & Roland Bénabou, 2006. "Incentives and Prosocial Behavior," American Economic Review, American Economic Association, vol. 96(5), pages 1652-1678, December.
    5. Chaoqian Wang & Matjaž Perc & Attila Szolnoki, 2024. "Evolutionary dynamics of any multiplayer game on regular graphs," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    6. repec:nas:journl:v:115:y:2018:p:9968-9973 is not listed on IDEAS
    7. Ding, Rui & Wang, Xianjia & Zhao, Jinhua & Gu, Cuiling & Wang, Tao, 2023. "The evolution of cooperation in spatial public goods games under a risk-transfer mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. 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.
    9. Yang, Zhengzhi & Zheng, Lei & Perc, Matjaž & Li, Yumeng, 2024. "Interaction state Q-learning promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    10. Zhu, Zhewen & Dong, Yuting & Lu, Yikang & Shi, Lei, 2021. "Information exchange promotes and jeopardizes cooperation on interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    11. Szolnoki, Attila & Perc, Matjaž & Danku, Zsuzsa, 2008. "Towards effective payoffs in the prisoner’s dilemma game on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2075-2082.
    12. 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).
    13. Andrew M. Colman, 2006. "The puzzle of cooperation," Nature, Nature, vol. 440(7085), pages 744-745, April.
    14. Wu, Yu’e & Zhang, Zhipeng & Wang, Xinyu & Chang, Shuhua, 2019. "Impact of probabilistic incentives on the evolution of cooperation in complex topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 307-314.
    15. Fu, Mingjian & Guo, Wenzhong & Cheng, Linlin & Huang, Shouying & Chen, Dewang, 2019. "History loyalty-based reward promotes cooperation in the spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1323-1329.
    16. Geng, Yini & Liu, Yifan & Lu, Yikang & Shen, Chen & Shi, Lei, 2022. "Reinforcement learning explains various conditional cooperation," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    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. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Suppressing defection by increasing temptation: The impact of smart cooperators on a social dilemma situation," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    2. Jiang, Bei & Yuan, Lin & Zou, Rongcheng & Su, Rui & Mi, Yuqiang, 2023. "The effect of migration on vaccination dilemma in networked populations," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Hou, Yunxiang & Lu, Yikang & Dong, Yuting & Jin, Libin & Shi, Lei, 2023. "Impact of different social attitudes on epidemic spreading in activity-driven networks," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    4. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. 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).
    6. Kulsum, Umma & Alam, Muntasir & Kamrujjaman, Md., 2024. "Modeling and investigating the dilemma of early and delayed vaccination driven by the dynamics of imitation and aspiration," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    7. 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).
    8. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Supporting punishment via taxation in a structured population," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    9. Dai, Hui & Wang, Xiaoyue & Lu, Yikang & Hou, Yunxiang & Shi, Lei, 2024. "The effect of intraspecific cooperation in a three-species cyclic predator-prey model," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    10. Wang, Chengjie & Deng, Juan & Zhao, Hui & Li, Li, 2024. "Effect of Q-learning on the evolution of cooperation behavior in collective motion: An improved Vicsek model," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    11. Guo, Tian & Du, Chunpeng & Shi, Lei, 2024. "Evolution of cooperation on interdependent networks: The impact of asymmetric punishment," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    12. Szolnoki, Attila & Chen, Xiaojie, 2020. "Gradual learning supports cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    13. 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.
    14. Zheng, Guozhong & Zhang, Jiqiang & Deng, Shengfeng & Cai, Weiran & Chen, Li, 2024. "Evolution of cooperation in the public goods game with Q-learning," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    15. Zhang, Yao & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The cooperative evolution in the spatial prisoner's dilemma game with the local loyalty of two-strategy," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    16. Giuseppe Attanasi & Ylenia Curci & Patrick Llerena & Maria del Pino Ramos-Sosa & Adriana Carolina Pinate & Giulia Urso, 2019. "Looking at Creativity from East to West: Risk Taking and Intrinsic Motivation in Socially and Culturally Diverse Countries," Working Papers of BETA 2019-38, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    17. Nocetti, Diego C., 2013. "The LeChatelier principle for changes in risk," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 460-466.
    18. Gary Bolton & Eugen Dimant & Ulrich Schmidt, 2018. "When a Nudge Backfires. Using Observation with Social and Economic Incentives to Promote Pro-Social Behavior," PPE Working Papers 0017, Philosophy, Politics and Economics, University of Pennsylvania.
    19. Bruno S. Frey & Susanne Neckermann, 2005. "Auszeichnungen: Ein Vernachl�ssigter Anreiz," IEW - Working Papers 254, Institute for Empirical Research in Economics - University of Zurich.
    20. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde, 2009. "Homo Reciprocans: Survey Evidence on Behavioural Outcomes," Economic Journal, Royal Economic Society, vol. 119(536), pages 592-612, March.

    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:187:y:2024:i:c:s0960077924010087. 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.