IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v15y2024i6p38-d1524466.html
   My bibliography  Save this article

Evasion Differential Games in the Space of Square Summable Sequences

Author

Listed:
  • Bekhzod Aminov

    (School of Engineering, Central Asian University, 264 Milliy, bog St, Tashkent 111221, Uzbekistan)

  • Marks Ruziboev

    (School of Engineering, Central Asian University, 264 Milliy, bog St, Tashkent 111221, Uzbekistan)

Abstract

In this article, we consider simple-motion pursuit–evasion differential games in the Hilbert space of square summable sequences. We show that when the players have the same dynamic capabilities, evasion is possible under some assumptions about the initial positions of the players.

Suggested Citation

  • Bekhzod Aminov & Marks Ruziboev, 2024. "Evasion Differential Games in the Space of Square Summable Sequences," Games, MDPI, vol. 15(6), pages 1-6, November.
    • Handle: RePEc:gam:jgames:v:15:y:2024:i:6:p:38-:d:1524466
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/15/6/38/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2073-4336/15/6/38/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ibragimov, Gafurjan I. & Salimi, Mehdi & Amini, Massoud, 2012. "Evasion from many pursuers in simple motion differential game with integral constraints," European Journal of Operational Research, Elsevier, vol. 218(2), pages 505-511.
    2. Jia, Zhifu & Liu, Xinsheng, 2023. "Uncertain stochastic hybrid differential game system with V-n jumps: Saddle point equilibrium strategies and application to advertising duopoly game," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    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. Venkata Ramana Makkapati & Panagiotis Tsiotras, 2019. "Optimal Evading Strategies and Task Allocation in Multi-player Pursuit–Evasion Problems," Dynamic Games and Applications, Springer, vol. 9(4), pages 1168-1187, December.
    2. Mehdi Salimi & Gafurjan I. Ibragimov & Stefan Siegmund & Somayeh Sharifi, 2016. "On a Fixed Duration Pursuit Differential Game with Geometric and Integral Constraints," Dynamic Games and Applications, Springer, vol. 6(3), pages 409-425, September.
    3. Gafurjan Ibragimov & Massimiliano Ferrara & Atamurat Kuchkarov & Bruno Antonio Pansera, 2018. "Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints," Dynamic Games and Applications, Springer, vol. 8(2), pages 352-378, June.
    4. Idris Ahmed & Poom Kumam & Gafurjan Ibragimov & Jewaidu Rilwan & Wiyada Kumam, 2019. "An Optimal Pursuit Differential Game Problem with One Evader and Many Pursuers," Mathematics, MDPI, vol. 7(9), pages 1-11, September.
    5. Gafurjan Ibragimov & Yusra Salleh & Idham Arif Alias & Bruno Antonio Pansera & Massimiliano Ferrara, 2023. "Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints," Dynamic Games and Applications, Springer, vol. 13(3), pages 819-842, September.
    6. Idham Arif Alias & Gafurjan Ibragimov & Askar Rakhmanov, 2017. "Evasion Differential Game of Infinitely Many Evaders from Infinitely Many Pursuers in Hilbert Space," Dynamic Games and Applications, Springer, vol. 7(3), pages 347-359, September.
    7. Lingfei Li & Jingyu Wu & Minting Zhu & Mancang Wang & Yaoyuan Li, 2024. "Stochastic Differential Game of Sustainable Allocation Strategy for Idle Emergency Supplies in Post-Disaster Management," Sustainability, MDPI, vol. 16(22), pages 1-45, November.
    8. Gafurjan Ibragimov & Massimiliano Ferrara & Marks Ruziboev & Bruno Antonio Pansera, 2021. "Linear evasion differential game of one evader and several pursuers with integral constraints," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 729-750, September.
    9. Wei Sun & Panagiotis Tsiotras & Anthony J. Yezzi, 2019. "Multiplayer Pursuit-Evasion Games in Three-Dimensional Flow Fields," Dynamic Games and Applications, Springer, vol. 9(4), pages 1188-1207, December.
    10. Mehdi Salimi & Massimiliano Ferrara, 2019. "Differential game of optimal pursuit of one evader by many pursuers," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 481-490, June.

    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:jgames:v:15:y:2024:i:6:p:38-:d:1524466. 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.