IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i22p4291-d974585.html
   My bibliography  Save this article

Offensive/Defensive Game Target Damage Assessment Mathematical Calculation Method between the Projectile and Target

Author

Listed:
  • Hanshan Li

    (School of Electronic and Information Engineering, Xi’an Technological University, Xi’an 710021, China)

  • Yun Hao

    (School of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, China)

  • Xiaoqian Zhang

    (School of Electronic and Information Engineering, Xi’an Technological University, Xi’an 710021, China)

Abstract

The target damage assessment when a projectile is attacking a ground target under uncertain information is a difficult problem to solve, because the intersection-relative position of the projectile and target is a random distribution and the target damage is also uncertain in the intersection confrontation between projectile and target. This paper regards the projectile and target as two participants of the zero-sum non-cooperative confrontation game and studies an offensive/defensive game damage strategy modeling method when the projectile meets the target under uncertain information. According to the information of both the projectile and the target, from the perspective of the gain of the projectile attacking the ground target and the gain of the ground target defense, this paper establishes the indicator function of offensive/defensive game of projectile and target intersection under uncertain information and constructs the payoff matrix of the confrontation game between the projectile and the target. The Nash equilibrium of the game is obtained by combining the particle swarm optimization algorithm and the interval number multiple attribute ranking method in the case of uncertain information, and then, a new optimal damage assessment strategy method of Offensive/Defensive Game of projectile and target is gained, the method to solve the Nash equilibrium value of the payment matrix is given. Simulations are performed to validate the feasibility and effectiveness of the proposed game damage strategy model and the solution method.

Suggested Citation

  • Hanshan Li & Yun Hao & Xiaoqian Zhang, 2022. "Offensive/Defensive Game Target Damage Assessment Mathematical Calculation Method between the Projectile and Target," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4291-:d:974585
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/22/4291/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/22/4291/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Carmen G. Higuera-Chan & J. Adolfo Minjárez-Sosa, 2021. "A Mean Field Approach for Discounted Zero-Sum Games in a Class of Systems of Interacting Objects," Dynamic Games and Applications, Springer, vol. 11(3), pages 512-537, September.
    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.

      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:10:y:2022:i:22:p:4291-:d:974585. 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.