LEADER 03855nam 22006015 450 001 9910254296303321 005 20230810192307.0 010 $a3-319-64707-5 010 $a9783319647074$b(electronic bk.) 024 7 $a10.1007/978-3-319-64707-4 035 $a(CKB)4100000001381573 035 $a(DE-He213)978-3-319-64707-4 035 $a(MiAaPQ)EBC6312183 035 $a(MiAaPQ)EBC5589124 035 $a(Au-PeEL)EBL5589124 035 $a(OCoLC)1021280060 035 $a(PPN)222230150 035 $a(EXLCZ)994100000001381573 100 $a20171228d2017 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 $a2nd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (xxvii,, 342 p.) $cill 311 $a3-319-64706-7 327 $aExposing Methods: The 2014 European Parliament Elections.- Imposing Constitutionality: The 2009 Bundestag Election -- From Reals to Integers: Rounding Functions and 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 -- Double-Proportional Divisor Methods: Technicalities -- Biographical Digest -- Notes and Comments -- Biographies -- References -- Index. 330 $aThe book offers an in-depth study of the translation of vote counts into seat numbers in proportional representation systems  ? an approach guided by practical needs. It also provides plenty of empirical instances illustrating the results. It analyzes in detail the 2014 elections to the European Parliament in the 28 member states, as well as the 2009 and 2013 elections to the German Bundestag. This second edition is a complete revision and expanded version of the first edition published in 2014, and many empirical election results that serve as examples have been updated. Further, a final chapter has been added assembling biographical sketches and authoritative quotes from individuals who pioneered the development of apportionment methodology. The mathematical exposition and the interrelations with political science and constitutional jurisprudence make this an apt resource for interdisciplinary courses and seminars on electoral systems and apportionment methods. 606 $aGame theory 606 $aSocial sciences$xStatistical methods 606 $aPolitical science 606 $aGame Theory 606 $aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy 606 $aPolitical Science 615 0$aGame theory. 615 0$aSocial sciences$xStatistical methods. 615 0$aPolitical science. 615 14$aGame Theory. 615 24$aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. 615 24$aPolitical Science. 676 $a328.3347 686 $a10.08.12.08$2EP-CLASS 700 $aPukelsheim$b Friedrich$0102628 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254296303321 996 $aProportional representation$91410217 997 $aUNINA