Journal of Nonlinear Mathematical Physics

Volume 11, Issue 1, February 2004, Pages 113 - 122

Replicator Dynamics and Mathematical Description of Multi-Agent Interaction in Complex Systems

Authors
Vasyl V. Gafiychuk, Anatoliy K. Prykarpatsky
Corresponding Author
Vasyl V. Gafiychuk
Received 27 May 2003, Accepted 24 August 2003, Available Online 1 February 2004.
DOI
10.2991/jnmp.2004.11.1.8How to use a DOI?
Abstract

We consider the general properties of the replicator dynamical system from the stanpoint of its evolution and stability. Vector field analysis as well as spectral properties of such system has been studied. A Lyaponuv function for the investigation of the evolution of the system has been proposed. The generalization of replicator dynamics to the case of multi-agent systems is introduced. We propose a new mathematical model to describe the multi-agent interaction in complex system.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 1
Pages
113 - 122
Publication Date
2004/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.1.8How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Vasyl V. Gafiychuk
AU  - Anatoliy K. Prykarpatsky
PY  - 2004
DA  - 2004/02/01
TI  - Replicator Dynamics and Mathematical Description of Multi-Agent Interaction in Complex Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 113
EP  - 122
VL  - 11
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.1.8
DO  - 10.2991/jnmp.2004.11.1.8
ID  - Gafiychuk2004
ER  -