Mathematical Theory of Democracy

• Main Author: Tangian, Andranik (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: Studies in Choice and Welfare,
• Subjects: Political science.; Game theory.; Economic theory.; Public finance.; Economics.; Economic Theory/Quantitative Economics/Mathematical Methods.; Political Science.; Game Theory, Economics, Social and Behav. Sciences.; Public Economics.

The mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a n...

Table of Contents:

• 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.