IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-44374-4_30.html
   My bibliography  Save this book chapter

Pursuit-Evasion Games

In: Handbook of Dynamic Game Theory

Author

Listed:
  • Valerii Patsko

    (Ural Branch of Russian Academy of Sciences, N. N. Krasovskii Institute of Mathematics and Mechanics)

  • Sergey Kumkov

    (Ural Branch of Russian Academy of Sciences, N. N. Krasovskii Institute of Mathematics and Mechanics)

  • Varvara Turova

    (Technical University of Munich, Department of Mathematics)

Abstract

Applied problems whose investigation involves methods of pursuit-evasion differential games are described. The main focus of this chapter is on time-optimal problems close to R. Isaacs’ “homicidal chauffeur” game and to linear differential games of fixed terminal time with J. Shinar’s space interception problem as the major example. These problems are taken because after a change of variables they can be reduced to models with two state variables. This allows us to provide adequate graphical representations of the level sets of the value functions being obtained numerically and emphasize important peculiarities of these sets. Also, other conflict control problems and control problems with uncertainties being extensively investigated nowadays are briefly outlined.

Suggested Citation

  • Valerii Patsko & Sergey Kumkov & Varvara Turova, 2018. "Pursuit-Evasion Games," Springer Books, in: Tamer Başar & Georges Zaccour (ed.), Handbook of Dynamic Game Theory, chapter 22, pages 951-1038, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-44374-4_30
    DOI: 10.1007/978-3-319-44374-4_30
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:spr:sprchp:978-3-319-44374-4_30. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.