IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v652y2024ics0378437124005442.html
   My bibliography  Save this article

Evolution of cooperation in a mixed cooperative–competitive structured population

Author

Listed:
  • Lyu, Ding
  • Liu, Hanxiao
  • Wang, Lin
  • Wang, Xiaofan

Abstract

Cooperation and competition are two pivotal topics in the literature on the evolutionary dynamics of individual behavior on social networks. This study provides a perspective of joint analysis of social dilemmas within groups and inter-group competition in a mixed cooperative–competitive structured population. Although specific mechanisms for interpreting the emergence and promotion of cooperation have been proposed, including reward, punishment, reputation, and environmental factors, little is known about how inter-group competition affects the cooperation level of groups, especially the intensity and structures of competitive games. Based on multi-games, a mixed cooperative–competitive game model is proposed that individuals within a group engage in a donation game and those from different groups participate in competitive games. The results of numerical simulations suggest that the reward of inter-group competition serves as an external incentive, fostering cooperation within groups. As the intensity of competitive games increases, cooperation within groups is prompted. Additionally, strategic inter-group connections based on degree heterogeneity significantly enhance within-group cooperation, particularly when hubs from one group engage in competitive games with marginal nodes from another group. This research contributes valuable insights into the dynamics of cooperation within groups considering the impact of inter-group competition on within-group cooperation.

Suggested Citation

  • Lyu, Ding & Liu, Hanxiao & Wang, Lin & Wang, Xiaofan, 2024. "Evolution of cooperation in a mixed cooperative–competitive structured population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 652(C).
  • Handle: RePEc:eee:phsmap:v:652:y:2024:i:c:s0378437124005442
    DOI: 10.1016/j.physa.2024.130035
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124005442
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2024.130035?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. Reuben, Ernesto & Tyran, Jean-Robert, 2010. "Everyone is a winner: Promoting cooperation through all-can-win intergroup competition," European Journal of Political Economy, Elsevier, vol. 26(1), pages 25-35, March.
    2. Sakiyama, Tomoko & Arizono, Ikuo, 2019. "An adaptive replacement of the rule update triggers the cooperative evolution in the Hawk–Dove game," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 59-62.
    3. 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.
    4. Xie, Yunya & Zhang, Shuhua & Zhang, Zhipeng & Bu, Hongyu, 2020. "Impact of binary social status with hierarchical punishment on the evolution of cooperation in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    5. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    6. Aming Li & Lei Zhou & Qi Su & Sean P. Cornelius & Yang-Yu Liu & Long Wang & Simon A. Levin, 2020. "Evolution of cooperation on temporal networks," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    7. 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.
    8. Wu, Yu’e & Zhang, Zhipeng & Chang, Shuhua, 2019. "Reciprocal reward promotes the evolution of cooperation in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 230-236.
    9. 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.
    10. Gunnthorsdottir, Anna & Rapoport, Amnon, 2006. "Embedding social dilemmas in intergroup competition reduces free-riding," Organizational Behavior and Human Decision Processes, Elsevier, vol. 101(2), pages 184-199, November.
    11. Cárdenas, Juan-Camilo & Gómez, Santiago & Mantilla, César, 2019. "Between-group competition enhances cooperation in resource appropriation games," Ecological Economics, Elsevier, vol. 157(C), pages 17-26.
    12. Sakiyama, Tomoko, 2021. "A power law network in an evolutionary hawk–dove game," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    13. Erez Lieberman & Christoph Hauert & Martin A. Nowak, 2005. "Evolutionary dynamics on graphs," Nature, Nature, vol. 433(7023), pages 312-316, January.
    14. Wu, Yu’e & Zhang, Zhipeng & Wang, Xinyu & Yan, Ming & Zhang, Qingfeng & Zhang, Shuhua, 2021. "Evolution of cooperation in the multigame on a two-layer square network," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    15. 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.
    16. Wang, Yizi, 2023. "Intergroup competition, group status, and individuals’ cooperation behavior: Evidence from a laboratory experiment," Finance Research Letters, Elsevier, vol. 56(C).
    17. Geng, Yini & Shen, Chen & Hu, Kaipeng & Shi, Lei, 2018. "Impact of punishment on the evolution of cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 540-545.
    18. Pan, Qiuhui & Liu, Xuesong & Bao, Honglin & Su, Yu & He, Mingfeng, 2018. "Evolution of cooperation through adaptive interaction in a spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 571-581.
    19. Zhen Wang & Marko Jusup & Lei Shi & Joung-Hun Lee & Yoh Iwasa & Stefano Boccaletti, 2018. "Exploiting a cognitive bias promotes cooperation in social dilemma experiments," Nature Communications, Nature, vol. 9(1), pages 1-7, December.
    20. Chen, Yi-Yi, 2020. "Intergroup competition with an endogenously determined prize level," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 759-776.
    21. Tan, Jonathan H.W. & Bolle, Friedel, 2007. "Team competition and the public goods game," Economics Letters, Elsevier, vol. 96(1), pages 133-139, July.
    22. Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2022. "Migration based on environment comparison promotes cooperation in evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 595(C).
    23. Allen, James M. & Hoyle, Rebecca B., 2017. "Asynchronous updates can promote the evolution of cooperation on multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 607-619.
    24. Qi Su & Alex McAvoy & Yoichiro Mori & Joshua B. Plotkin, 2022. "Evolution of prosocial behaviours in multilayer populations," Nature Human Behaviour, Nature, vol. 6(3), pages 338-348, March.
    25. Yuan Yuan & Ahmad Alabdulkareem & Alex ‘Sandy’ Pentland, 2018. "An interpretable approach for social network formation among heterogeneous agents," Nature Communications, Nature, vol. 9(1), pages 1-9, December.
    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. 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).
    2. Wu, Chengxing & Deng, Hongzhong & Tu, Chengyi, 2024. "A general network complexity reduction method for cooperative evolution in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    3. 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.
    4. Wang, Chaoqian, 2024. "Evolution of trust in structured populations," Applied Mathematics and Computation, Elsevier, vol. 471(C).
    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. Kris De Jaegher, 2021. "Common‐Enemy Effects: Multidisciplinary Antecedents And Economic Perspectives," Journal of Economic Surveys, Wiley Blackwell, vol. 35(1), pages 3-33, February.
    7. Konno, Tomohiko, 2013. "An imperfect competition on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5453-5460.
    8. 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).
    9. Cárdenas, Juan-Camilo & Gómez, Santiago & Mantilla, César, 2019. "Between-group competition enhances cooperation in resource appropriation games," Ecological Economics, Elsevier, vol. 157(C), pages 17-26.
    10. Francisca Jiménez-Jiménez, 2023. "Heterogeneity, coordination and competition: the distribution of individual preferences in organisations," Economics of Governance, Springer, vol. 24(1), pages 67-107, March.
    11. Wang, Chaoqian & Sun, Chengbin, 2023. "Public goods game across multilayer populations with different densities," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    12. Wang, Yizi, 2023. "Intergroup competition, group status, and individuals’ cooperation behavior: Evidence from a laboratory experiment," Finance Research Letters, Elsevier, vol. 56(C).
    13. Roman M. Sheremeta, 2018. "Behavior In Group Contests: A Review Of Experimental Research," Journal of Economic Surveys, Wiley Blackwell, vol. 32(3), pages 683-704, July.
    14. Allen, Benjamin & McAvoy, Alex, 2024. "The coalescent in finite populations with arbitrary, fixed structure," Theoretical Population Biology, Elsevier, vol. 158(C), pages 150-169.
    15. Xu, Yan & Zhao, Dawei & Chen, Jiaxing & Liu, Tao & Xia, Chengyi, 2024. "The nested structures of higher-order interactions promote the cooperation in complex social networks," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    16. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    17. Johannes Weisser, 2012. "Leading by example in intergroup competition: An experimental approach," Jena Economics Research Papers 2011-067, Friedrich-Schiller-University Jena.
    18. Wang, Chaoqian & Szolnoki, Attila, 2023. "Inertia in spatial public goods games under weak selection," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    19. Cheng, Jiangjiang & Mei, Wenjun & Su, Wei & Chen, Ge, 2023. "Evolutionary games on networks: Phase transition, quasi-equilibrium, and mathematical principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    20. Zhang, Wei, 2024. "Network reciprocity and inequality: The role of additional mixing links among social groups," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    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:phsmap:v:652:y:2024:i:c:s0378437124005442. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.