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Study of a Warfare Differential Game via Dynamic Programming Approach

Author

Listed:
  • Touffik Bouremani

    (Ferhat Abbas University Setif 1)

  • Yacine Slimani

    (Ferhat Abbas University Setif 1)

Abstract

We use some recent developments in dynamics programming method to obtain the complete and theoretically justified solution of a differential game formulated and studied in Chen and Qiu (Abstr Appl Anal 2014:1–8, 2014. https://doi.org/10.1155/2014/837431 ) using the Lanchester equation. We use a certain refinement of Cauchy’s method of characteristics for stratified Hamilton–Jacobi equations to describe a large set of admissible trajectories and identify a domain on which the value function exists and is generated by a pair of admissible feedback strategies. Its optimality is justified by using one of the well-known verification theorems as an argument for sufficient optimality conditions.

Suggested Citation

  • Touffik Bouremani & Yacine Slimani, 2024. "Study of a Warfare Differential Game via Dynamic Programming Approach," Dynamic Games and Applications, Springer, vol. 14(4), pages 733-750, September.
    • Handle: RePEc:spr:dyngam:v:14:y:2024:i:4:d:10.1007_s13235-023-00523-w
    DOI: 10.1007/s13235-023-00523-w
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