IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v337y2018icp442-451.html
   My bibliography  Save this article

Stabilization of evolutionary networked games with length-r information

Author

Listed:
  • Mao, Ying
  • Wang, Liqing
  • Liu, Yang
  • Lu, Jianquan
  • Wang, Zhen

Abstract

This paper investigates the dynamics of evolutionary networked games with different length information via semi-tensor product (STP) method. First, a networked game with different length information is modeled in the form of probabilistic Boolean networks (PBNs) with time delays. Second, based on the utility function of each player, a necessary condition for the existence of a pure Nash equilibrium is obtained. Then a state feedback control is applied to stabilize the considered system. Finally, an example is presented to substantiate the effectiveness of the theoretical results.

Suggested Citation

  • Mao, Ying & Wang, Liqing & Liu, Yang & Lu, Jianquan & Wang, Zhen, 2018. "Stabilization of evolutionary networked games with length-r information," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 442-451.
    • Handle: RePEc:eee:apmaco:v:337:y:2018:i:c:p:442-451
    DOI: 10.1016/j.amc.2018.05.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318304363
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.05.027?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. Fangfei Li, 2016. "Feedback control design for the complete synchronisation of two coupled Boolean networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2996-3003, September.
    2. Anna Nagurney & Dong Li, 2015. "A supply chain network game theory model with product differentiation, outsourcing of production and distribution, and quality and price competition," Annals of Operations Research, Springer, vol. 226(1), pages 479-503, March.
    3. Tong, Liyun & Liu, Yang & Lou, Jungang & Lu, Jianquan & Alsaadi, Fuad E., 2018. "Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 263-275.
    4. Li, Meilin & Lu, Jianquan & Lou, Jungang & Liu, Yang & Alsaadi, Fuad E., 2018. "The equivalence issue of two kinds of controllers in Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 633-640.
    5. Wang, Liqing & Liu, Yang & Wu, Zhengguang & Alsaadi, Fuad E., 2018. "Strategy optimization for static games based on STP method," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 390-399.
    6. T. Başar & R. Srikant, 2002. "A Stackelberg Network Game with a Large Number of Followers," Journal of Optimization Theory and Applications, Springer, vol. 115(3), pages 479-490, December.
    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. Liu, Aixin & Li, Haitao & Wang, Lin, 2024. "Exploring multi-potential games in strategic form: A graph theoretic approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    2. Zhong, Jie & Liu, Yang & Kou, Kit Ian & Sun, Liangjie & Cao, Jinde, 2019. "On the ensemble controllability of Boolean control networks using STP method," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 51-62.
    3. Xinrong Yang & Zhenping Geng & Haitao Li, 2023. "Matrix-Based Method for the Analysis and Control of Networked Evolutionary Games: A Survey," Games, MDPI, vol. 14(2), pages 1-13, February.

    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. Tong, Liyun & Liu, Yang & Lou, Jungang & Lu, Jianquan & Alsaadi, Fuad E., 2018. "Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 263-275.
    2. Li, Meilin & Lu, Jianquan & Lou, Jungang & Liu, Yang & Alsaadi, Fuad E., 2018. "The equivalence issue of two kinds of controllers in Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 633-640.
    3. Nagurney, Anna & Saberi, Sara & Shukla, Shivani & Floden, Jonas, 2015. "Supply chain network competition in price and quality with multiple manufacturers and freight service providers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 248-267.
    4. Panayides, Michalis & Knight, Vince & Harper, Paul, 2023. "A game theoretic model of the behavioural gaming that takes place at the EMS - ED interface," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1236-1258.
    5. Ebrahimi Bajgani, Sahar & Saberi, Sara & Toyasaki, Fuminori, 2023. "Designing a reverse supply chain network with quality control for returned products: Strategies to mitigate free-riding effect and ensure compliance with technology licensing requirements," Technological Forecasting and Social Change, Elsevier, vol. 195(C).
    6. Lejarza, Fernando & Baldea, Michael, 2022. "An efficient optimization framework for tracking multiple quality attributes in supply chains of perishable products," European Journal of Operational Research, Elsevier, vol. 297(3), pages 890-903.
    7. Zhaobo Chen & Chunying Tian & Ding Zhang & Dongyan Chen, 2020. "Dynamic model of a supply chain network with sticky price," Operational Research, Springer, vol. 20(2), pages 649-670, June.
    8. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Evaluating the effects of environmental regulations on a closed-loop supply chain network: a variational inequality approach," Annals of Operations Research, Springer, vol. 261(1), pages 1-43, February.
    9. Wu, Xiangxiang & Zha, Yong & Yu, Yugang, 2022. "The developer’s sourcing strategy in the presence of a competing manufacturer and consumers’ two-dimensional differentiated preferences," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    10. Isa Feyzian-Tary & Jafar Razmi & Mohamad Sadegh Sangari, 2018. "A variational inequality formulation for designing a multi-echelon, multi-product supply chain network in a competitive environment," Annals of Operations Research, Springer, vol. 264(1), pages 89-121, May.
    11. van Hoesel, Stan, 2008. "An overview of Stackelberg pricing in networks," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1393-1402, September.
    12. Xiangshan Kong & Qilong Sun & Haitao Li, 2022. "Survey on Mathematical Models and Methods of Complex Logical Dynamical Systems," Mathematics, MDPI, vol. 10(20), pages 1-17, October.
    13. Shiva Zandkarimkhani & Hassan Mina & Mehdi Biuki & Kannan Govindan, 2020. "A chance constrained fuzzy goal programming approach for perishable pharmaceutical supply chain network design," Annals of Operations Research, Springer, vol. 295(1), pages 425-452, December.
    14. Faghih-Roohi, Shahrzad & Akcay, Alp & Zhang, Yingqian & Shekarian, Ehsan & de Jong, Eelco, 2020. "A group risk assessment approach for the selection of pharmaceutical product shipping lanes," International Journal of Production Economics, Elsevier, vol. 229(C).
    15. Zhu, Sanmei & Feng, Jun-e, 2021. "The set stabilization problem for Markovian jump Boolean control networks: An average optimal control approach," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    16. Xing Wang & Ya-wei Qi & Chang-qi Tao & Yi-bin Xiao, 2017. "A Class of Delay Differential Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 56-69, January.
    17. Peng Liang & Hasan Cavusoglu & Nan Hu, 2023. "Customers’ managerial expectations and suppliers’ asymmetric cost management," Production and Operations Management, Production and Operations Management Society, vol. 32(6), pages 1975-1993, June.
    18. Guo, Peilian & Han, Changda, 2021. "Nash equilibrium and group strategy consensus of networked evolutionary game with coupled social groups," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    19. Eduardo Mojica-Nava & Fredy Ruiz, 2021. "Stackelberg Population Dynamics: A Predictive-Sensitivity Approach," Games, MDPI, vol. 12(4), pages 1-15, November.
    20. Chen, Lv & Shen, Yang, 2019. "Stochastic Stackelberg differential reinsurance games under time-inconsistent mean–variance framework," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 120-137.

    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:337:y:2018:i:c:p:442-451. 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.