Friedkin-Johnsen Social Influence Dynamics on Networks: A Boundary-Value Formulation and Influenceability Measures
A new formula reveals how stubborn individuals ultimately control what a group believes.
Deep Dive
Researchers have developed a new mathematical framework to analyze how opinions spread on social networks. The model precisely shows how stubborn individuals (who don't change their minds) and susceptible individuals (who do) interact to determine a group's final consensus. It provides formulas for how quickly opinions converge and measures each person's influence. The theory was tested on a classic social network, the Zachary karate club, to demonstrate its practical use.
Why It Matters
This provides a scientific tool to predict and understand polarization and consensus in online communities.