Opinion formation in Wikipedia Ising networks

2025-07-29

AI Summary

This study investigates the network polarization mechanism under multi-opinion competition. We propose a scalable Ising-type opinion dynamics model capable of modeling both binary and ternary opinion states. Leveraging a million-scale directed citation network—constructed from cross-lingual Wikipedia editions (nodes: articles; edges: citations)—we simulate opinion evolution via asynchronous Monte Carlo updates and a neighbor-majority voting rule, incorporating an effective temperature parameter to quantify system stability. Through spin-polarization steady-state analysis, we empirically demonstrate, for the first time on a real-world large-scale network, the existence of a stable polarized phase under multi-opinion competition. Furthermore, we quantify the relative influence landscape of political figures and nations across distinct language communities. By generalizing beyond the conventional binary-opinion assumption, our model provides an interpretable and empirically verifiable theoretical framework for studying opinion evolution in multilingual and multi-topic settings.

Technology Category

• Natural Language Processing: Sentiment Analysis, Stylistic Analysis, and Argument Mining
• Multiagent Systems: Agent-Based Simulation and Emergent Behavior
• Knowledge Representation and Reasoning: Preferences

Application Category

• Social Networks and Social Media: Media and governance, opinion dynamics, filter bubbles, polarization
• Web Mining and Content Analysis: Sentiment analysis and opinion mining
• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs

Abstract

We study properties of opinion formation on Wikipedia Ising Networks. Each Wikipedia article is represented as a node and links are formed by citations of one article to another generating a directed network of a given language edition with millions of nodes. Ising spins are placed at each node and their orientation up or down is determined by a majority vote of connected neighbors. At the initial stage there are only a few nodes from two groups with fixed competing opinions up and down while other nodes are assumed to have no initial opinion with no effect on the vote. The competition of two opinions is modeled by an asynchronous Monte Carlo process converging to a spin polarized steady-state phase. This phase remains stable with respect to small fluctuations induced by an effective temperature of the Monte Carlo process. The opinion polarization at the steady-state provides opinion (spin) preferences for each node. In the framework of this Ising Network Opinion Formation model we analyze the influence and competition between political leaders, world countries and social concepts. This approach is also generalized to the competition between three groups of different opinions described by three colors, for example Donald Trump, Vladimir Putin, Xi Jinping or USA, Russia, China within English, Russian and Chinese editions of Wikipedia of March 2025. We argue that this approach provides a generic description of opinion formation in various complex networks.

Problem

• Model opinion formation in Wikipedia citation networks
• Analyze competition between two or three opinion groups
• Study influence of leaders and countries in Ising networks

Innovation

• Wikipedia articles as nodes in Ising networks
• Majority vote determines spin orientation
• Monte Carlo models opinion competition dynamics