Opinion formation process in a hierarchical society

TL;DR

This paper investigates how consensus forms in hierarchical societies by deriving kinetic equations and analyzing their solutions to understand the long-term opinion dynamics.

Contribution

It introduces a mathematical framework for modeling opinion formation in hierarchical structures and derives explicit formulas for the consensus opinion.

Findings

Derived kinetic equations for hierarchical opinion dynamics

Analyzed long-term behavior of solutions

Obtained explicit formulas for consensus opinion

Abstract

In this work we study the formation of consensus in a hierarchical population. We derive the corresponding kinetic equations, and analyze the long time behaviour of their solutions for the case of finite number of hierarchical obtaining explicit formula for the consensus opinion.