Mathematical theory of democracy [electronic resource] / Andranik Tangian.

History: Athenian Democracy
Echoes of Democracy in Ancient Rome
Revival of Democracy in Italian Mediaval City-Republics
Enlightenment and the End of Traditional Democracy
Modernity and Schism in Understanding Democracy
Theory: Direct Democracy
Dictatorship and Democracy
Representative Democracy
Statistically Testing the Representative Capacity
Concluding Discussion: Bridging Representative and Direct Democracies
Applications: Simple Applications
Application to Collective Multicriteria Decisions
Application to Stock Exchange Predictions
Application to Traffic Control
Appendix: Computational Formulas
Probabilities of Unequal Choices by Vote and by Candidate Scores
Statistical Significance of Representative Capacity.