Pursuit-Evasion Games

Valerii Patsko (), Sergey Kumkov () and Varvara Turova ()
Additional contact information
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

Chapter 22 in Handbook of Dynamic Game Theory, 2018, pp 951-1038 from Springer

Abstract: 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.

Keywords: Differential game; Homicidal chauffeur; Space interception; Semipermeable curves; Barriers; Singular surfaces; Maximal stable bridge (search for similar items in EconPapers)
Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-44374-4_30

Ordering information: This item can be ordered from
http://www.springer.com/9783319443744

DOI: 10.1007/978-3-319-44374-4_30

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().