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The Classical Homicidal Chauffeur Game

Author

Listed:
  • Meir Pachter

    (Air Force Institute of Technology)

  • Sean Coates

    (Air Force Institute of Technology)

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.

Suggested Citation

  • Meir Pachter & Sean Coates, 2019. "The Classical Homicidal Chauffeur Game," Dynamic Games and Applications, Springer, vol. 9(3), pages 800-850, September.
    • Handle: RePEc:spr:dyngam:v:9:y:2019:i:3:d:10.1007_s13235-018-0264-8
    DOI: 10.1007/s13235-018-0264-8
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    References listed on IDEAS

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    1. Sergey S. Kumkov & Stéphane Ménec & Valerii S. Patsko, 2017. "Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications," Dynamic Games and Applications, Springer, vol. 7(4), pages 609-633, December.
    2. Sergey S. Kumkov & Stéphane Ménec & Valerii S. Patsko, 2017. "Erratum to: Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications," Dynamic Games and Applications, Springer, vol. 7(4), pages 634-634, December.
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    Cited by:

    1. Maksim Buzikov & Andrey Galyaev, 2023. "The Game of Two Identical Cars: An Analytical Description of the Barrier," Journal of Optimization Theory and Applications, Springer, vol. 198(3), pages 988-1018, September.

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