Stochastic two‐target pursuit‐evasion differential games in three dimensions

Y. Yavin*, T. Miloh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Stochastic versions of a three‐dimensional two‐target ‘game of two cars’ and a three‐dimensional two‐target ‘homicidal chauffeur’ game are considered. These are used to model a dogfight, in the (x, y, z) space, between a very agile player Q and a less manoeuvrable player P. A numerical study is conducted, by numerically solving a non‐linear partial differential equation, to investigate the role of the parameters of manoeuvrability, speed and the performance of the ‘weapon systems’ in the encounter.

Original languageEnglish
Pages (from-to)311-325
Number of pages15
JournalOptimal Control Applications and Methods
Issue number4
StatePublished - 1987


  • Pursuit‐evasion differential games
  • Stochastic differential games
  • Two‐target differential games


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