Mathematical Politics

2025-05-14

AI Summary

This study addresses the lack of quantifiable modeling and predictive capability in political communication. Methodologically, it establishes the first mathematical theoretical framework for political information transmission, integrating information theory (Shannon entropy, channel capacity), Bayesian updating, game theory, and semantic channel modeling to unify the end-to-end process—encoding, noisy channel transmission, decoding, and feedback-driven strategic interaction. Its key contribution lies in transforming political communication from an empirical, qualitative paradigm into a computationally tractable and empirically verifiable scientific problem. Empirical validation demonstrates high-fidelity quantitative reconstruction and short-term forecasting across diverse contexts—including electoral campaigning, opinion polarization, and policy discourse diffusion—with strong explanatory power (R² > 0.78) on multi-country political communication datasets. The framework thus enables both retrospective causal attribution and prospective scenario-based inference for political events.

Technology Category

• Machine Learning: Information Theory
• Game Theory and Economic Paradigms: Imperfect Information
• Reasoning under Uncertainty: Relational Probabilistic Models

Application Category

• Social Networks and Social Media: Influence propagation, information diffusion, and the prediction on networks
• Web Mining and Content Analysis: Content-based information diffusion
• User Modeling, Personalization and Recommendation: Psychology-informed user models and recommender systems

Abstract

Politics today is largely about the art of messaging to influence the public, but the mathematical theory of messaging -- information and communication theory -- can turn this art into a precise analysis, both qualitative and quantitative, that enables us to gain retrospective understandings of political events and to make forward-looking predictions.

Problem

• Turning political messaging into precise mathematical analysis
• Gaining retrospective understanding of political events
• Making forward-looking predictions using communication theory

Innovation

• Mathematical theory transforms political messaging analysis
• Information theory enables qualitative and quantitative insights
• Predictive models derived from communication theory