Volume 11, Issue 1, February 2004, Pages 113 - 122
Replicator Dynamics and Mathematical Description of Multi-Agent Interaction in Complex Systems
Vasyl V. Gafiychuk, Anatoliy K. Prykarpatsky
Vasyl V. Gafiychuk
Received 27 May 2003, Accepted 24 August 2003, Available Online 1 February 2004.
- 10.2991/jnmp.2004.11.1.8How to use a DOI?
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.
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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 -