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Homicidal Chauffeur Game: History and Modern Studies

  • Valerii S. PatskoEmail author
  • Varvara L. Turova
Chapter
Part of the Annals of the International Society of Dynamic Games book series (AISDG, volume 11)

Abstract

“Homicidal chauffeur” game is one of the most well-known model problems in the theory of differential games. “A car” striving as soon as possible to run over “a pedestrian” – this demonstrative model suggested by R. Isaacs turned out to be appropriate for many applied problems. No less remarkable is the fact that the game is a difficult and interesting object for mathematical investigation. This chapter gives a survey of publications on the homicidal chauffeur problem and its modifications.

Keywords

Backward procedures Differential games Homicidal chauffeur game Numerical constructions Value function 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Institute of Mathematics and MechanicsUral Branch of Russian Academy of SciencesEkaterinburgRussia
  2. 2.Technische Universität MünchenGarching bei MünchenGermany

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