IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v14y2012i03ns0219198912500144.html
   My bibliography  Save this article

Complete Solution Of A Pursuit–Evasion Differential Game With Hybrid Evader Dynamics

Author

Listed:
  • JOSEF SHINAR

    (Faculty of Aerospace Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel)

  • VALERY Y. GLIZER

    (Department of Mathematics, Ort Braude College, P. O. Box 78, Karmiel 21982, Israel)

  • VLADIMIR TURETSKY

    (Department of Mathematics, Ort Braude College, P. O. Box 78, Karmiel 21982, Israel)

Abstract

A pursuit–evasion differential game of prescribed duration with bounded controls is considered. The evader has two possible dynamics, while the pursuer dynamics is fixed. The evader can change its dynamics once during the game and its initial lateral acceleration is nonzero. The pursuer knows the possible dynamics of the evader, but not the actual one. Due to the different information sets of the players the game is not zero-sum. The robust capture zone of the pursuer and the robust escape zone of the evader are constructed and analyzed. Since the game is not zero-sum the robust capture/escape zones do not complement each other. Illustrative examples are presented.

Suggested Citation

  • Josef Shinar & Valery Y. Glizer & Vladimir Turetsky, 2012. "Complete Solution Of A Pursuit–Evasion Differential Game With Hybrid Evader Dynamics," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 1-31.
    • Handle: RePEc:wsi:igtrxx:v:14:y:2012:i:03:n:s0219198912500144
    DOI: 10.1142/S0219198912500144
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198912500144
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198912500144?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.

    Citations

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


    Cited by:

    1. Elena Goncharova & Maxim Staritsyn, 2015. "Invariant Solutions of Differential Games with Measures: A Discontinuous Time Reparameterization Approach," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 382-400, October.

    More about this item

    Keywords

    Differential game; pursuit–evasion; hybrid dynamics; 49N70; 34A38; 91A23;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:14:y:2012:i:03:n:s0219198912500144. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.