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The Dynamics of Influence Systems (1204.3946v2)
Published 17 Apr 2012 in nlin.AO, cs.MA, cs.SI, and math.DS
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.