Multi-agent interaction of complex systems in restricted resources environment
نویسنده
چکیده
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 of such model are discussed. The over-all dynamics can be understood by means of mathematical modeling of replicator equations and corresponding multi-agent system. The dynamics of multi agent system depends crucially on the interaction between agents and it is quite different from the dynamics of corresponding independent agents. keywords: replicator dynamics, Hamiltonian systems, gradient dynamical system, multi-agent interaction, Lyapunov function, complex system.
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تاریخ انتشار 2004