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Equal-speed pursuit and evasion on manifolds

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  • Andrew Gard

    (Lake Forest College)

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.

Suggested Citation

  • Andrew Gard, 2024. "Equal-speed pursuit and evasion on manifolds," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(1), pages 197-210, March.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:1:d:10.1007_s00182-023-00868-x
    DOI: 10.1007/s00182-023-00868-x
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    References listed on IDEAS

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    1. A. A. Melikyan & N. V. Ovakimyan & L. L. Harutiunian, 1998. "Games of Simple Pursuit and Approach on a Two-Dimensional Cone," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 515-543, September.
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