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Continuous optimisation problem and game theory for multi-agent pathfinding

Author

Listed:
  • Alexander V. Kuznetsov

    (V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences)

  • Andrew Schumann

    (University of Information Technology and Management)

  • Małgorzata Rataj

    (University of Information Technology and Management)

Abstract

In the article, we studied the continuous problem for multi-agent pathfinding. We show continuity of the path-traversing time functional and the existence of the optimal path for a single agent. Also, we consider game theory interpretation for multi-agent pathfinding with continuous routes as a game with strategies in a Banach space. Finally, we briefly discuss near-optimal routes and connection of heuristics for pathfinding and integral geometry problems.

Suggested Citation

  • Alexander V. Kuznetsov & Andrew Schumann & Małgorzata Rataj, 2024. "Continuous optimisation problem and game theory for multi-agent pathfinding," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(1), pages 1-41, March.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:1:d:10.1007_s00182-023-00851-6
    DOI: 10.1007/s00182-023-00851-6
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