Springer | 2014 | 629 páginas | rar - pdf | 3,7 Mb
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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 number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate’s political profile. In addition, societal and non-societal applications are considered.
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.
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