2003/02/24 by A. A. Prykarpatsky, Prykarpatsky, A. A., V. V. Gafiychuk +1
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · Social Sciences · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.cond-mat/0302493
openalex publication_date 2003/02/24 · arxiv created 2003/10/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider the general properties of the replicator dynamical system from the standpoint of its evolution and stability. Vector field analysis as well as spectral properties of such system has been studied. Lyaponuv function for investigation of system evolution has been proposed. The generalization of the replicator dynamics for the case of multi-agent systems has been introduced. We propose a new mathematical model to describe the multi-agent interaction in complex system.