The iterative persuasion-polarization opinion dynamics and its mean-field analysis

TL;DR

This paper introduces the IPP model to analyze how persuasion and repulsion influence opinion dynamics, revealing conditions that lead to consensus or polarization through a mean-field ODE framework.

Contribution

The paper develops a novel IPP model combining persuasion and repulsion mechanisms, and provides a mean-field analysis using nonlinear ODEs to understand opinion evolution.

Findings

Identifies parameters leading to consensus or polarization.

Derives a mathematical framework for opinion distribution dynamics.

Provides insights into social influence mechanisms.

Abstract

In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals influence each other through interactions that can either align opinions incrementally or lead to greater divergence. The probability of each interaction type is governed by a parameter $\alpha$, representing the population's receptiveness to persuasion. We investigate how these interaction dynamics shape the long-term distribution of opinions, examining conditions that promote consensus or polarization. By deriving a system of nonlinear and autonomous ordinary differential equations (ODEs), we provide a rigorous mathematical framework for analyzing the distributional behavior of opinions in large populations. Our findings contribute to a deeper understanding of social influence dynamics and their implications in complex social systems.