Dynamics of Democratic Elections: A Mathematical Approach to Political Science

Dynamics of Democratic Elections explores modeling approaches to democratic elections and opinion dynamics at the intersection of mathematics, political science, and computational modeling. The book focuses on relatively simple models, their analysis, and how they perform in real-world applications. In order to make the book easy to navigate, the material is divided into three major parts concerning ‘The Voter Model’, ‘Nonlinear Election Models’, and ‘Game Theoretical Models’. Although the material is unashamedly mathematical, the concepts are discussed in a way that should be accessible to anyone with a reasonably strong quantitative background and should prove interesting to a broad audience beyond mathematicians. Features Suitable for graduate students and researchers (mathematicians, physicists, social and political scientists with a strong theoretical background) Step-by-step data preparation and analysis Abundant exercises Numerous color illustrations