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The Classical Homicidal Chauffeur Game

Meir Pachter () and Sean Coates ()
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Meir Pachter: Air Force Institute of Technology
Sean Coates: Air Force Institute of Technology

Dynamic Games and Applications, 2019, vol. 9, issue 3, No 13, 800-850

Abstract: Abstract The Homicidal Chauffeur differential game is often mentioned in the literature, but the game’s complete solution is not readily available. In this work, the complete solution process of the Homicidal Chauffeur differential game is illustrated for the parameter range in the heart of the speed ratio-capture radius parameter space initially investigated by Isaacs, and referred to by Breakwell and Merz as the classical Homicidal Chauffeur differential game. Some salient features of the solution of this foundational differential game are highlighted, and some popular misconceptions are dispelled. This tutorial paper fills a gap in the literature on pursuit-evasion differential games.

Keywords: Pursuit-evasion; Homicidal Chauffeur; Differential game (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13235-018-0264-8

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