Continuous optimisation problem and game theory for multi-agent pathfinding

Alexander V. Kuznetsov (), Andrew Schumann () and Małgorzata Rataj ()
Additional contact information
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

International Journal of Game Theory, 2024, vol. 53, issue 1, No 1, 41 pages

Abstract: 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.

Keywords: Multi-agent pathfinding; Game theory; Massive-parallel games; Continuous optimisation (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00182-023-00851-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jogath:v:53:y:2024:i:1:d:10.1007_s00182-023-00851-6

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/182/PS2

DOI: 10.1007/s00182-023-00851-6

Access Statistics for this article

International Journal of Game Theory is currently edited by Shmuel Zamir, Vijay Krishna and Bernhard von Stengel

More articles in International Journal of Game Theory from Springer, Game Theory Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().