The Dynamics of Influence Systems
Adaptation and Self-Organizing Systems
2012-07-25 v2 Multiagent Systems
Social and Information Networks
Dynamical Systems
Abstract
Influence systems form a large class of multiagent systems designed to model how influence, broadly defined, spreads across a dynamic network. We build a general analytical framework which we then use to prove that, while sometimes chaotic, influence dynamics of the diffusive kind is almost always asymptotically periodic. Besides resolving the dynamics of a popular family of multiagent systems, the other contribution of this work is to introduce a new type of renormalization-based bifurcation analysis for multiagent systems.
Cite
@article{arxiv.1204.3946,
title = {The Dynamics of Influence Systems},
author = {Bernard Chazelle},
journal= {arXiv preprint arXiv:1204.3946},
year = {2012}
}