IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v502y2025ics0096300325002231.html

Community reciprocity promotes cooperation in a network evolutionary prisoner’s dilemma game

Author

Listed:
  • Li, Lin
  • Lv, Jingyu
  • Ma, Lili
  • Ruan, Jing

Abstract

Community structure is one of the most common features of complex networks and plays a crucial role in the game of strategy during an evolutionary process. Previous works focus on its physical characteristics of high cohesion and low coupling, we extend the existing research, by taking into consideration the capacity of communities to effectively manage and allocate resources through collective action, from a logical functional perspective. Based on the Prisoner’s Dilemma Game, we develop a new evolutionary model featuring community reciprocity. In particular, we assume that players could obtain the shared resources contributed by cooperators from communities with a certain probability, and the quantity of reciprocal resources players could reap depends on their positions in the community. Through intensive simulations on two famous synthetic networks with built-in community structure, the results show that community structure can provide enhanced reciprocity and promote the evolution of cooperation. The way that cooperation prospers is by occupying nodes with more advantageous positions within the community. Besides, the clarity of community structure mediates the promoting effect of community reciprocity on cooperation.

Suggested Citation

  • Li, Lin & Lv, Jingyu & Ma, Lili & Ruan, Jing, 2025. "Community reciprocity promotes cooperation in a network evolutionary prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 502(C).
  • Handle: RePEc:eee:apmaco:v:502:y:2025:i:c:s0096300325002231
    DOI: 10.1016/j.amc.2025.129497
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325002231
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2025.129497?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Luthi, Leslie & Pestelacci, Enea & Tomassini, Marco, 2008. "Cooperation and community structure in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 955-966.
    2. Chen, Xiaojie & Fu, Feng & Wang, Long, 2007. "Prisoner's Dilemma on community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 512-518.
    3. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    4. Unai Alvarez-Rodriguez & Federico Battiston & Guilherme Ferraz Arruda & Yamir Moreno & Matjaž Perc & Vito Latora, 2021. "Evolutionary dynamics of higher-order interactions in social networks," Nature Human Behaviour, Nature, vol. 5(5), pages 586-595, May.
    5. Wu, Jianshe & Hou, Yanqiao & Jiao, Licheng & Li, Huijie, 2014. "Community structure inhibits cooperation in the spatial prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 169-179.
    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. Segismundo S. Izquierdo & Luis R. Izquierdo & Nicholas M. Gotts, 2008. "Reinforcement Learning Dynamics in Social Dilemmas," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 11(2), pages 1-1.
    8. Maiko Sakamoto, 2024. "The role of social capital in community development: Insights from behavioral game theory and social network analysis," Sustainable Development, John Wiley & Sons, Ltd., vol. 32(5), pages 5240-5258, October.
    9. Charles Efferson & Helen Bernhard & Urs Fischbacher & Ernst Fehr, 2024. "Super-additive cooperation," Nature, Nature, vol. 626(8001), pages 1034-1041, February.
    10. Sergi Lozano & Alex Arenas & Angel Sánchez, 2008. "Mesoscopic Structure Conditions the Emergence of Cooperation on Social Networks," PLOS ONE, Public Library of Science, vol. 3(4), pages 1-9, April.
    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. Zhang, Lan & Huang, Changwei, 2023. "Preferential selection to promote cooperation on degree–degree correlation networks in spatial snowdrift games," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    2. José M Galán & Maciej M Łatek & Seyed M Mussavi Rizi, 2011. "Axelrod's Metanorm Games on Networks," PLOS ONE, Public Library of Science, vol. 6(5), pages 1-11, May.
    3. Li, Yixiao & Wang, Yi & Sheng, Jichuan, 2017. "The evolution of cooperation on geographical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 485(C), pages 1-10.
    4. 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).
    5. Jorge Peña & Yannick Rochat, 2012. "Bipartite Graphs as Models of Population Structures in Evolutionary Multiplayer Games," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
    6. Renan Goetz & Jorge Marco, 2025. "Social networks, norm-enforcing ties and cooperation," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 20(2), pages 371-412, April.
    7. Mohamadichamgavi, Javad, 2025. "Strategy dependent time delays shape cooperation in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    8. Pan, Qiuhui & Shi, Shu & Zhang, Yu & He, Mingfeng, 2013. "Cooperation in spatial prisoner’s dilemma game with delayed decisions," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 166-174.
    9. 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).
    10. 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.
    11. van den Bergh, Jeroen C.J.M. & Gowdy, John M., 2009. "A group selection perspective on economic behavior, institutions and organizations," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 1-20, October.
    12. Luhe Yang & Duoxing Yang & Lianzhong Zhang, 2022. "The Effect of Bounded Rationality on Human Cooperation with Voluntary Participation," Mathematics, MDPI, vol. 10(9), pages 1-12, May.
    13. Wang, Chaoqian & Sun, Chengbin, 2023. "Public goods game across multilayer populations with different densities," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    14. Christopher Graser & Takako Fujiwara-Greve & Julián García & Matthijs van Veelen, 2025. "Repeated games with partner choice," PLOS Computational Biology, Public Library of Science, vol. 21(2), pages 1-19, February.
    15. Shirsendu Podder & Simone Righi, 2023. "Complexity of Behavioural Strategies and Cooperation in the Optional Public Goods Game," Dynamic Games and Applications, Springer, vol. 13(4), pages 1219-1235, December.
    16. Yan, Zeyuan & Zhao, Hui & Liang, Shu & Li, Li & Song, Yanjie, 2024. "Inter-layer feedback mechanism with reinforcement learning boosts the evolution of cooperation in multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    17. Klaus Jaffe & Roberto Cipriani, 2007. "Culture Outsmarts Nature in the Evolution of Cooperation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 10(1), pages 1-7.
    18. Ma, Lili & Su, Zhao & Lin, Peng & Wang, Kai & Pang, Xingbo & Li, Lin & Chen, Lin, 2026. "The impact of peer incentives that integrate node similarity on the evolution of cooperation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 682(C).
    19. Yang, Yujin & Zhao, Dawei & Wang, Juan, 2025. "Evolution of cooperation in spatial public goods games driven by reinforcement learning and environmental feedback," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    20. Mohammad Salahshour, 2021. "Freedom to choose between public resources promotes cooperation," PLOS Computational Biology, Public Library of Science, vol. 17(2), pages 1-15, February.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:eee:apmaco:v:502:y:2025:i:c:s0096300325002231. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.