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Advances in Dynamic Games pp 313–350Cite as

Birkhäuser

The Effect of Pursuer Dynamics on the Value of Linear Pursuit-Evasion Games with Bounded Controls

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Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 13))

Abstract

Linear pursuit-evasion games with bounded controls are considered. The cases of an ideal, a first-order, and a second-order pursuer against an ideal and a first-order evader are analyzed. For these cases, the values of the games are compared with each other, indicating the effect of the pursuer dynamics. It is shown that replacing the second-order pursuer by a first-order approximation underestimates the value of the game (the guaranteed miss distance).

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Author information

Authors and Affiliations

  1. Faculty of Aerospace Engineering, Technion - Israel Institute of Technology, Haifa, 32000, Israel

    Josef Shinar

  2. Department of Applied Mathematics, Ort Braude College, 78, Karmiel, 21982, Israel

    Valery Y. Glizer & Vladimir Turetsky

Authors
  1. Josef Shinar
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  2. Valery Y. Glizer
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  3. Vladimir Turetsky
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Corresponding author

Correspondence to Valery Y. Glizer .

Editor information

Editors and Affiliations

  1. Institute of Entomology Dept. of Theoretical Ecology, Biology Centre AS CR, České Budějovice, Czech Republic

    Vlastimil Křivan

  2. GERAD, HEC Montréal, Montreal, Québec, Canada

    Georges Zaccour

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© 2013 Springer International Publishing Switzerland

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Shinar, J., Glizer, V.Y., Turetsky, V. (2013). The Effect of Pursuer Dynamics on the Value of Linear Pursuit-Evasion Games with Bounded Controls. In: Křivan, V., Zaccour, G. (eds) Advances in Dynamic Games. Annals of the International Society of Dynamic Games, vol 13. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-02690-9_15

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