Equal-speed pursuit and evasion on manifolds

Andrew Gard ()
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Andrew Gard: Lake Forest College

International Journal of Game Theory, 2024, vol. 53, issue 1, No 8, 197-210

Abstract: Abstract Two sides play a game of equal-speed pursuit and capture on a complete Riemannian manifold of dimension at least two, with or without boundary. When capture is defined strictly, the evader can always escape capture indefinitely, although the pursuer can generally close within arbitrary distance in finite time.

Keywords: Pursuit and evasion; Riemannian geometry; Differential games; 49N75 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00182-023-00868-x

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