LEADER 03129nam 2200553Ia 450 001 9910298531903321 005 20200520144314.0 010 $a3-642-38724-1 024 7 $a10.1007/978-3-642-38724-1 035 $a(CKB)2670000000423064 035 $a(SSID)ssj0000962922 035 $a(PQKBManifestationID)11544097 035 $a(PQKBTitleCode)TC0000962922 035 $a(PQKBWorkID)10975910 035 $a(PQKB)10956775 035 $a(MiAaPQ)EBC1398805 035 $a(DE-He213)978-3-642-38724-1 035 $a(PPN)172427290 035 $a(EXLCZ)992670000000423064 100 $a20130725d2013 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical theory of democracy /$fAndranik Tangian 205 $a1st ed. 2014. 210 $aNew York $cSpringer$d2013 215 $axx, 615 p 225 1 $aStudies in Choice and Welfare,$x1614-0311 300 $aIncludes index. 311 $a3-642-43480-0 311 $a3-642-38723-3 327 $aHistory: 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. 330 $aThe mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate?s political profile. In addition, societal and non-societal applications are considered. 410 0$aStudies in Choice and Welfare,$x1614-0311 606 $aPolitical science 606 $aDemocracy 615 0$aPolitical science. 615 0$aDemocracy. 676 $a321.8 700 $aTangian$b Andranik$0928053 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910298531903321 996 $aMathematical Theory of Democracy$92530658 997 $aUNINA