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

被引：0
|
作者：
Vasyl V Gafiychuk
Anatoliy K Prykarpatsky
机构：
[1] Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences,
[2] Department of Applied Mathematics at the AGH University of Science and Technology,undefined
来源：
Journal of Nonlinear Mathematical Physics | 2004年 / 11卷
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学科分类号：
摘要：
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. 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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页码：113 / 122
页数：9
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