IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i23p3014-d687161.html
   My bibliography  Save this article

Multi-Player Evolutionary Game of Network Attack and Defense Based on System Dynamics

Author

Listed:
  • Pengxi Yang

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Fei Gao

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Hua Zhang

    (State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Abstract

We formalize the adversarial process between defender and attackers as a game and study the non-cooperative evolutionary game mechanism under bounded rationality. We analyze the long-term dynamic process between the attacking and defending parties using the evolutionary stable strategies derived from the evolutionary game model. First, we construct a multi-player evolutionary game model consisting of a defender and multiple attackers, formally describe the strategies, and construct a three-player game payoff matrix. Then, we propose two punishment schemes, i.e., static and dynamic ones. Moreover, through the combination of mathematical derivation with simulation, we obtain the evolutionary stable strategies of each player. Different from previous work, in this paper, we consider the influence of strategies among different attackers. The simulation shows that (1) in the static punishment scheme, increasing the penalty can quickly control the occurrence of network attacks in the short term; (2) in the dynamic punishment scheme, the game can be stabilized effectively, and the stable state and equilibrium values are not affected by the change of the initial values.

Suggested Citation

  • Pengxi Yang & Fei Gao & Hua Zhang, 2021. "Multi-Player Evolutionary Game of Network Attack and Defense Based on System Dynamics," Mathematics, MDPI, vol. 9(23), pages 1-18, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3014-:d:687161
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/23/3014/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/23/3014/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Daniel Friedman, 1998. "On economic applications of evolutionary game theory," Journal of Evolutionary Economics, Springer, vol. 8(1), pages 15-43.
    2. Xiaotong Li & Qianyao Xue, 2021. "An economic analysis of information security investment decision making for substitutable enterprises," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(5), pages 1306-1316, July.
    3. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    4. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    5. Xinbao Liu & Xiaofei Qian & Jun Pei & Panos M. Pardalos, 2018. "Security investment and information sharing in the market of complementary firms: impact of complementarity degree and industry size," Journal of Global Optimization, Springer, vol. 70(2), pages 413-436, February.
    6. You, Mengjie & Li, Shuang & Li, Dingwei & Cao, Qingren & Xu, Feng, 2020. "Evolutionary game analysis of coal-mine enterprise internal safety inspection system in China based on system dynamics," Resources Policy, Elsevier, vol. 67(C).
    7. Homer, J.B. & Hirsch, G.B., 2006. "System dynamics modeling for public health: Background and opportunities," American Journal of Public Health, American Public Health Association, vol. 96(3), pages 452-458.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jin Zhang & Wenyu Peng & Ruxin Wang & Yu Lin & Wei Zhou & Ge Lan, 2022. "Enhance Domain-Invariant Transferability of Adversarial Examples via Distance Metric Attack," Mathematics, MDPI, vol. 10(8), pages 1-15, April.
    2. Enning Zhang & Gang Wang & Runnian Ma & Juan Li, 2023. "An Optimal Group Decision-Making Approach for Cyber Security Using Improved Selection-Drift Dynamics," Dynamic Games and Applications, Springer, vol. 13(3), pages 980-1004, September.

    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. Jin, Tao & Jiang, Yulian & Liu, Xingwen, 2023. "Evolutionary game analysis of the impact of dynamic dual credit policy on new energy vehicles after subsidy cancellation," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Xiongwei Quan & Gaoshan Zuo & Helin Sun, 2022. "Risk Perception Thresholds and Their Impact on the Behavior of Nearby Residents in Waste to Energy Project Conflict: An Evolutionary Game Analysis," Sustainability, MDPI, vol. 14(9), pages 1-20, May.
    3. Zhuozhuo Gou & Yansong Deng, 2021. "Dynamic Model of Collaboration in Multi-Agent System Based on Evolutionary Game Theory," Games, MDPI, vol. 12(4), pages 1-19, October.
    4. Fisher, Eric ON. & Kakkar, Vikas, 2004. "On the evolution of comparative advantage in matching models," Journal of International Economics, Elsevier, vol. 64(1), pages 169-193, October.
    5. Shitao Gong & Xin Gao & Zhou Li & Linyan Chen, 2021. "Developing a Dynamic Supervision Mechanism to Improve Construction Safety Investment Supervision Efficiency in China: Theoretical Simulation of Evolutionary Game Process," IJERPH, MDPI, vol. 18(7), pages 1-29, March.
    6. Faggini, Marisa & Parziale, Anna, 2011. "Fitness landscape and tax planning: NK model for fiscal federalism," MPRA Paper 33770, University Library of Munich, Germany.
    7. Wenxin Su & Xin Gao & Yukun Jiang & Jinrong Li, 2021. "Developing a Construction Safety Standard System to Enhance Safety Supervision Efficiency in China: A Theoretical Simulation of the Evolutionary Game Process," Sustainability, MDPI, vol. 13(23), pages 1-22, December.
    8. Xiaotong Li, 2022. "An evolutionary game‐theoretic analysis of enterprise information security investment based on information sharing platform," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(3), pages 595-606, April.
    9. Chongyi Zhong & Hui Yang & Zixin Liu & Juanyong Wu, 2020. "Stability of Replicator Dynamics with Bounded Continuously Distributed Time Delay," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    10. Matthew McGinty, 2010. "International Environmental Agreements as Evolutionary Games," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 45(2), pages 251-269, February.
    11. Dijkstra, Bouwe R. & de Vries, Frans P., 2006. "Location choice by households and polluting firms: An evolutionary approach," European Economic Review, Elsevier, vol. 50(2), pages 425-446, February.
    12. Kuechle, Graciela, 2011. "Persistence and heterogeneity in entrepreneurship: An evolutionary game theoretic analysis," Journal of Business Venturing, Elsevier, vol. 26(4), pages 458-471, July.
    13. Meng, Huixing & Liu, Xuan & Xing, Jinduo & Zio, Enrico, 2022. "A method for economic evaluation of predictive maintenance technologies by integrating system dynamics and evolutionary game modelling," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    14. Qianwen Wu & Qiangqiang Wang & Yongwu Dai, 2023. "Analysis of Strategy Selection in Third-Party Governance of Rural Environmental Pollution," Sustainability, MDPI, vol. 15(11), pages 1-19, May.
    15. Jie Jin & Jun Zhuang & Qiuhong Zhao, 2018. "Supervision after Certification: An Evolutionary Game Analysis for Chinese Environmental Labeled Enterprises," Sustainability, MDPI, vol. 10(5), pages 1-22, May.
    16. Yingxia Xue & Fang Liu & Guangbin Wang & Jungang Shao, 2023. "Research on Strategy Evolution of Contractor and Resident in Construction Stage of Old Community Renovation Project," Sustainability, MDPI, vol. 15(2), pages 1-20, January.
    17. Wei Duan & Hengli Cao & Desheng Xu, 2023. "Research on the Impact of New Parts Price Increase on the Stability of Closed-Loop Supply Chain," Sustainability, MDPI, vol. 15(16), pages 1-24, August.
    18. Serdar Ş. Güner, 2004. "Aegean Territorial Waters Conflict: An Evolutionary Narrative," Conflict Management and Peace Science, Peace Science Society (International), vol. 21(4), pages 297-312, September.
    19. Ling Cao & Jie Yin, 2023. "Research on Sharing Behavior Strategy of Cultural Heritage Institutions Based on Evolutionary Game Theory," Sustainability, MDPI, vol. 15(13), pages 1-23, June.
    20. Yingxiu Zhao & Sitong Zhou, 2023. "The Impact of Two-Sided Market Platforms on Participants’ Trading Strategies: An Evolutionary Game Analysis," Mathematics, MDPI, vol. 11(8), pages 1-18, April.

    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:gam:jmathe:v:9:y:2021:i:23:p:3014-:d:687161. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.