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Stochastic pursuit-evasion differential games in 3D: The case of variable speed

Abstract

Stochastic pursuit-evasion differential games involving two players moving in the (x,y,z)-space are considered. A study is conducted of the roles of the pursuer's maneuverability and of information structure restrictions imposed on the pursuer's field of view or on the magnitude of the pursuer's line-of-sight rate vector, with respect to the outcome of the encounter.

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Communicated by G. Leitmann

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De Villiers, R., Miloh, T. & Yavin, Y. Stochastic pursuit-evasion differential games in 3D: The case of variable speed. J Optim Theory Appl 59, 25–38 (1988). https://doi.org/10.1007/BF00939864

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Key Words

  • Stochastic differential games
  • pursuit-evasion
  • information structure
  • line-of-sight rate vector