Mathematical Theory of Democracy

Part I. History

1. Athenian Democracy
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2. Echoes of Democracy in Ancient Rome
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3. Revival of Democracy in Italian Medieval City-Republics
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4. Enlightenment and the End of Traditional Democracy
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5. Modernity and Schism in Understanding Democracy
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Part II. Theory

6. Direct Democracy
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7. Dictatorship and Democracy
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8. Representative Democracy
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9. Statistically Testing the Representative Capacity
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10. Concluding Discussion: Bridging Representative and Direct Democracies
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Part III. Applications

11. Simple Applications
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12. Application to Collective Multicriteria Decisions
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13. Application to Stock Exchange Predictions
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14. Application to Traffic Control
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Part IV. Appendix

15. Computational Formulas
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16. Probabilities of Unequal Choices by Vote and by Candidate Scores
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17. Statistical Significance of Representative Capacity
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Keywords: Economics/Management Science, Economic Theory, Political Science, general, Game Theory, Economics, Social and Behav. Sciences, Public Finance & Economics