Stable Configurations in Social Networks
Dynamical Systems
2018-05-23 v1
Abstract
We present and analyze a model of opinion formation on an arbitrary network whose dynamics comes from a global energy function. We study the global and local minimizers of this energy, which we call stable opinion configurations, and describe the global minimizers under certain assumptions on the friendship graph. We show a surprising result that the number of stable configurations is not necessarily monotone in the strength of connection in the social network, i.e. the model sometimes supports more stable configurations when the interpersonal connections are made stronger.
Cite
@article{arxiv.1708.07286,
title = {Stable Configurations in Social Networks},
author = {Jared C. Bronski and Lee DeVille and Tim Ferguson and Michael Livesay},
journal= {arXiv preprint arXiv:1708.07286},
year = {2018}
}