A random asymmetric temporal model of multi-agent interactions: dynamical analysis

We present work in progress on the dynamical analysis of a multi-agent model that allows for temporally distributed asymmetric interactions between agents. The model essentially defines a coupled map lattice in which interactions between local variables obey a random Gaussian law and are transmitted through a gamma pattern of delays. The asymptotic dynamics of the model is investigated employing a dynamic mean field approach. The predictions of the mean field equations are checked numerically through simulations of a finite system of interacting units. (C) 2003 Elsevier Science B.V. All rights reserved.