Set-Driven Evolution for Multiagent System

Rossana Capuani (), Antonio Marigonda () and Marc Quincampoix ()
Additional contact information
Rossana Capuani: University of Tuscia
Antonio Marigonda: University of Verona
Marc Quincampoix: Laboratoire de Mathématiques de Bretagne Atlantique, Univ Brest, CNRS UMR 6205

Journal of Optimization Theory and Applications, 2024, vol. 200, issue 1, No 10, 280-307

Abstract: Abstract We consider the deterministic evolution in the Euclidean space of a multiagent system with a large number of agents (possibly infinitely many). At each instant of time, besides from time and its current position, the set of velocities available to each agent is influenced by the set described by the current position of all the other agents. The latter is in turn determined by the overall motion of the crowd of all the agents. The interplay to the microscopical point of view of each single agent, and the macroscopical one of the set-evolution yields a non-trivial dynamical system. This two-level multiagent system can be described either by the evolution of a probability measure—describing the instantaneous density of the crowd—or by the evolution of a set—describing the positions where there is at least one agent. In this paper, we precise the links between the two descriptions, providing also some quantitative estimates on the macroscopical admissible evolutions.

Keywords: Multiagent systems; Set evolution; Tube dynamics; 93A16; 28B20; 26E25 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-023-02344-8 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:joptap:v:200:y:2024:i:1:d:10.1007_s10957-023-02344-8

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-023-02344-8

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().