2 5 O ct 2 00 3 Replicator dynamical systems and their gradient and Hamiltonian properties
نویسندگان
چکیده
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.
منابع مشابه
Multi-agent interaction of complex systems in restricted resources environment
In this paper we study the properties of complex systems based on replicator dynamics. Vector field analysis is used to reveal new properties of the dynamical system. Spectral problem has been considered and Lyaponov function has been derived from the algebraic properties of the system under consideration. New mathematical model with multi-agent interaction is developed and general properties o...
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