IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v474y2024ics0096300324001930.html
   My bibliography  Save this article

The impact of anxiety on cooperative behavior: A network evolutionary game theory approach

Author

Listed:
  • Zhang, Qianwei
  • Tang, Rui
  • Lu, Yilun
  • Wang, Xinyu

Abstract

Complex and intense competition always exists in human society, in which people would inevitably feel anxiety due to failure. Anxious people would doubt their own strategies and try to change them. For the individuals, anxiety stems mainly from their past failures and from their concerns about the current lack of competitiveness, which could be identified as two sources of anxiety. Based on the Prisoner's Dilemma, we synthesize these sources of anxiety and propose a new model that can reflect the impact of anxiety on people's strategies. We consider the effect of anxiety on the evolution of a group in a square lattice network with periodic boundaries, and propose the rules for quantifying the individual's anxiety and for updating the individual's strategies. Simulation results from our model show that if the players focus more on the past game records or have a strong resilience to stress, then this can lead to stable cooperation in the group. In addition, we consider the overanxious individuals in the group and explore the ways to reduce the number of overanxious individuals by analyzing them in terms of the combined effects of the peer pressure and the temptation to betray.

Suggested Citation

  • Zhang, Qianwei & Tang, Rui & Lu, Yilun & Wang, Xinyu, 2024. "The impact of anxiety on cooperative behavior: A network evolutionary game theory approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    • Handle: RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001930
    DOI: 10.1016/j.amc.2024.128721
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300324001930
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2024.128721?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. Guo, Zi-Xuan & He, Jun-Zhou & Li, Qing-Ming & Shi, Lei & Wang, Rui-Wu, 2023. "Asymmetric interaction and diverse forms in public goods production in volunteer dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Gao, Meng & Li, Zhi & Wu, Te, 2023. "Evolutionary dynamics of friendship-driven reputation strategies," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. He, Jialu & Wang, Jianwei & Yu, Fengyuan & Chen, Wei & Xu, Wenshu, 2022. "The persistence and transition of multiple public goods games resolves the social dilemma," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    4. Wang, Chaoqian & Lin, Zongzhe & Rothman, Dale S., 2022. "Public goods game on coevolving networks driven by the similarity and difference of payoff," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    5. repec:wly:soecon:v:80:4:y:2014:p:1002-1027 is not listed on IDEAS
    6. Hu, Qi & Jin, Tao & Jiang, Yulian & Liu, Xingwen, 2024. "Reputation incentives with public supervision promote cooperation in evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    7. Gu, Cuiling & Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Liu, Yang, 2022. "Evolutionary dynamics of multi-player snowdrift games based on the Wright-Fisher process," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    8. Lv, Shaojie & Li, Jiaying & Zhao, Changheng, 2023. "The evolution of cooperation in voluntary public goods game with shared-punishment," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    9. Cassar, Alessandra, 2007. "Coordination and cooperation in local, random and small world networks: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 58(2), pages 209-230, February.
    10. Mateus Joffily & David Masclet & Charles N Noussair & Marie Claire Villeval, 2014. "Emotions, Sanctions, and Cooperation," Southern Economic Journal, John Wiley & Sons, vol. 80(4), pages 1002-1027, April.
    11. Som B Ale & Joel S Brown & Amy T Sullivan, 2013. "Evolution of Cooperation: Combining Kin Selection and Reciprocal Altruism into Matrix Games with Social Dilemmas," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-8, May.
    12. Fu, Xiao & Liu, Xuesong & Hu, Yuhan & Huang, Shaoxu, 2023. "Emotion-based renewal strategies to promote cooperation in spatial prisoner’s dilemma games," Applied Mathematics and Computation, Elsevier, vol. 455(C).
    13. 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).
    14. A. Szolnoki & M. Perc, 2009. "Promoting cooperation in social dilemmas via simple coevolutionary rules," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 337-344, February.
    15. Shen, Yong & Lei, Wei & Kang, Hongwei & Li, Mingyuan & Sun, Xingping & Chen, Qingyi, 2023. "Evolutionary dynamics of public goods game with tax-based rewarding cooperators," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    16. Sun, Xingping & Li, Mingyuan & Kang, Hongwei & Shen, Yong & Chen, Qingyi, 2023. "Combined effect of pure punishment and reward in the public goods game," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    17. Lu, Shounan & Zhu, Ge & Dai, Jianhua, 2023. "Promoting effect of adaptive interaction based on random neighbors to cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    18. Takahara, Akihiro & Sakiyama, Tomoko, 2023. "Twisted strategy may enhance the evolution of cooperation in spatial prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    19. Han, Jia-Xu & Wang, Rui-Wu, 2023. "Complex interactions promote the frequency of cooperation in snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    20. Li, Xiaoyu & Jia, Danyang & Niu, Xiaotong & Liu, Chen & Zhu, Peican & Liu, Dujuan & Chu, Chen, 2022. "Ability-based asymmetrical fitness calculation promotes cooperation in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    21. Jiawei Wang & Liming Zhang & Haihong Li & Qionglin Dai & Junzhong Yang, 2023. "Inequality-induced emotions might promote cooperation in evolutionary games," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(3), pages 1-9, March.
    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. "Supporting punishment via taxation in a structured population," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Hao, Weijuan & Hu, Yuhan, 2024. "The implications of deep cooperation strategy for the evolution of cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    3. Tian, Yue & Gao, Shun & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2024. "Particle swarm intelligence promotes cooperation by adapting interaction radii in co-evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    4. Zhu, Xiaochen, 2023. "The dynamic edge environment under interactive diversity is a double-edged sword," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    5. Huang, Chaochao & Wang, Chaoqian, 2024. "Memory-based involution dilemma on square lattices," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    6. 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).
    7. Bai, Pengzhou & Qiang, Bingzhuang & Zou, Kuan & Huang, Changwei, 2024. "Preferential selection based on adaptive attractiveness induce by reinforcement learning promotes cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    8. Bai, Xi & Ye, Ye & Chen, Tong & Xie, Nenggang, 2024. "The evolutionary game of emotions considering the influence of reputation," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    9. Feng, Minyu & Han, Songlin & Li, Qin & Wu, Juan & Kurths, Jürgen, 2023. "Harmful strong agents and asymmetric interaction can promote the frequency of cooperation in the snowdrift game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    10. Kang, Hongwei & Li, Zhekang & Shen, Yong & Huang, Zhiyuan & Sun, Xingping & Chen, Qingyi, 2024. "From eligibility to suitability: Regulation and restriction of reputation-based access system on free-riding behavior in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    11. Li, Yan & Ye, Hang, 2015. "Effect of migration based on strategy and cost on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 156-165.
    12. Konno, Tomohiko, 2013. "An imperfect competition on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5453-5460.
    13. Thommes, Kirsten & Vyrastekova, Jana & Akkerman, Agnes, 2015. "Behavioral spillovers from freeriding in multilevel interactions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 56(C), pages 78-87.
    14. Gary Charness & Francesco Feri & Miguel A. Meléndez-Jiménez & Matthias Sutter, 2023. "An Experimental Study on the Effects of Communication, Credibility, and Clustering in Network Games," The Review of Economics and Statistics, MIT Press, vol. 105(6), pages 1530-1543, November.
    15. 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).
    16. Kovarik, J. & Mengel, F. & Romero, J.G., 2009. "(Anti-) coordination in networks," Research Memorandum 041, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    17. Jinkwon Lee & Sujin Min, 2021. "The effects of repeated induction of emotions on cooperation and punishment," Economic Inquiry, Western Economic Association International, vol. 59(3), pages 925-943, July.
    18. Gary Charness & Francesco Feri & Miguel A. Meléndez‐Jiménez & Matthias Sutter, 2014. "Experimental Games on Networks: Underpinnings of Behavior and Equilibrium Selection," Econometrica, Econometric Society, vol. 82(5), pages 1615-1670, September.
    19. Yiting Guo & Jason Shachat & Matthew J. Walker & Lijia Wei, 2021. "Viral social media videos can raise pro-social behaviours when an epidemic arises," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 7(2), pages 120-138, December.
    20. Yunsheng Deng & Jihui Zhang, 2022. "The choice-decision based on memory and payoff favors cooperation in stag hunt game on interdependent networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(2), pages 1-13, February.

    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:474:y:2024:i:c:s0096300324001930. 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.