LEADER 04073nam 22006375 450 001 9910299964503321 005 20200705151616.0 010 $a3-319-03856-7 024 7 $a10.1007/978-3-319-03856-8 035 $a(CKB)3710000000078793 035 $a(Springer)9783319038568 035 $a(MH)013884454-2 035 $a(SSID)ssj0001091751 035 $a(PQKBManifestationID)11655212 035 $a(PQKBTitleCode)TC0001091751 035 $a(PQKBWorkID)11028861 035 $a(PQKB)10672940 035 $a(DE-He213)978-3-319-03856-8 035 $a(MiAaPQ)EBC1636519 035 $a(PPN)176108610 035 $a(EXLCZ)993710000000078793 100 $a20131218d2014 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProportional Representation $eApportionment Methods and Their Applications /$fby Friedrich Pukelsheim 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XXI, 234 p. 3 illus.)$conline resource 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-03855-9 320 $aIncludes bibliographical references and index. 327 $aExposing Methods: The 2009 European Parliament Elections.- Imposing Constitutionality: The 2009 Bundestag Election -- From Reals to Integers: Rounding Functions, Rounding Rules.- Divisor Methods of Apportionment: Divide and Round -- Quota Methods of Apportionment: Divide and Rank -- Targeting the House Size: Discrepancy Distribution -- Favoring Some at the Expense of Others: Seat Biases -- Preferring Stronger Parties to Weaker Parties: Majorization -- Securing System Consistency: Coherence and Paradoxes -- Appraising Electoral Equality: Goodness-of-Fit Criteria -- Tracing Peculiarities: Vote Thresholds and Majority Clauses.- Truncating Seat Ranges: Minimum-Maximum Restrictions.- Proportionality and Personalization: BWG 2013 -- Representing Districts and Parties: Double Proportionality. 330 $aThe book offers a rigorous description of the procedures that proportional representation systems use to translate vote counts into seat numbers. Since the methodological analysis is guided by practical needs, plenty of empirical instances are provided and reviewed to motivate the development, and to illustrate the results. Concrete examples, like the 2009 elections to the European Parliament in each of the 27 Member States and the 2013 election to the German Bundestag, are analyzed in full detail. The level of mathematical exposition, as well as the relation to political sciences and constitutional jurisprudence makes this book suitable for special graduate courses and seminars. 606 $aGame theory 606 $aStatistics  606 $aPolitical science 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 606 $aStatistics for Social Sciences, Humanities, Law$3https://scigraph.springernature.com/ontologies/product-market-codes/S17040 606 $aPolitical Science$3https://scigraph.springernature.com/ontologies/product-market-codes/911000 615 0$aGame theory. 615 0$aStatistics . 615 0$aPolitical science. 615 14$aGame Theory, Economics, Social and Behav. Sciences. 615 24$aStatistics for Social Sciences, Humanities, Law. 615 24$aPolitical Science. 676 $a519 700 $aPukelsheim$b Friedrich$4aut$4http://id.loc.gov/vocabulary/relators/aut$0102628 701 $aDuff$b Andrew$0230879 906 $aBOOK 912 $a9910299964503321 996 $aProportional Representation$92903298 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress