Homicidal Chauffeur Game: History and Modern Studies

“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.