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.
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Gard, A. Equal-speed pursuit and evasion on manifolds. Int J Game Theory 53, 197–210 (2024). https://doi.org/10.1007/s00182-023-00868-x
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DOI: https://doi.org/10.1007/s00182-023-00868-x