Replicator dynamical systems and their gradient and Hamiltonian properties

Details Replicator dynamical systems and their gradient and Hamiltonian properties Replicator dynamical systems and their gradient and Hamiltonian properties

2003-02-24

arxiv.org/abs/cond-mat/0302493v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

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.

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