The Dynamics of Influence Systems

Bernard Chazelle

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arXiv · 1204.3946

The Dynamics of Influence Systems

Bernard Chazelle

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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.

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Bernard Chazelle. 2012-07-24. The Dynamics of Influence Systems. https://arxiv.org/abs/1204.3946

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