Stable Configurations in Social Networks

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.

References in corpus (9)

• Finding and evaluating community structure in networks
• Statistical physics of social dynamics
• Opinion evolution in closed community
• Voter Models on Heterogeneous Networks
• The Slashdot Zoo: Mining a Social Network with Negative Edges
• Metastability in Interacting Nonlinear Stochastic Differential Equations I: From Weak Coupling to Synchronisation
• Continuous-Time Quantum Search on Balanced Trees
• Metastability in Interacting Nonlinear Stochastic Differential Equations II: Large-N Behaviour
• Synchronization via interacting reinforcement