Mathematical Analysis of Political Leadership in Modern Russia

Our paper focuses on the main trends and prerequisites of the modern political process. It concentrates on the political processes in Russian Federation in the recent decades to figure out the most common trends and tendencies. We advocate that the usage of mathematical research methods represents a pathway for the rational studying and understanding of the political process. Recent events with the British company Cambridge Analytica that used big data approach and artificial intelligence (AI) algorithms to harvest users' data on Facebook with the purpose of building voters' profiles in accordance with the principles of Top 5 Personality features (also known as the OCEAN model), show how important, yet dangerous and volatile the use of analytics might be in modern democracies. Even though, we do not have the same ambitions as the British political marketing company, our findings in the mathematical substantiation of the multiplicity of political parties and their effective number allow us to structure the political process in modern Russia and determine its main historical stages and trends.