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The 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.

Mathematics. --- Political science. --- Game theory. --- Statistics. --- Game Theory, Economics, Social and Behav. Sciences. --- Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law. --- Political Science. --- Statistics for Social Sciences, Humanities, Law. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Administration --- Civil government --- Commonwealth, The --- Government --- Political theory --- Political thought --- Politics --- Science, Political --- Social sciences --- State, The --- Math --- Science --- Proportional representation. --- Statistics . --- Games, Theory of --- Theory of games --- Mathematical models --- Game theory --- Statistics  --- Political science --- proportional representation --- European election --- European Parliament --- case study --- Evropski parlament --- Evropský parlament --- Euroopa Parlament --- Parlament Europejski --- Parlement européen --- Europa-Parlamentet --- Európsky parlament --- Ευρωπαϊκό Κοινοβούλιο --- Eiropas Parlaments --- Europäisches Parlament --- Европски парламент --- Euroopan parlamentti --- Parlamento Europeo --- Europski parlament --- Parlamentul European --- Parlamento Europeu --- Europos Parlamentas --- Europees Parlement --- Europaparlamentet --- Parlament Ewropew --- Parlamento europeo --- Parlamenti Europian --- Parlaimint na hEorpa --- Európai Parlament --- Европейски парламент --- Europeiska parlamentariska församlingen --- Asamble Parlamentare Europiane --- PE --- EK --- EG Parlement --- Euroopan parlamentaarinen edustajakokous --- Euroopa Ühenduste Assamblee --- Európai Parlamenti Közgyűlés --- EP --- Parlament EG --- EG-Parlament --- Európske parlamentné zhromaždenie --- Forsamlingen --- Parlamento delle Comunità europee --- European Assembly --- Europäische Versammlung --- Eurocámara --- ЕП --- Asamble Europiane --- Ευρωκοινοβούλιο --- Europese vergadering --- Assembleia Parlamentar Europeia --- Parlament ES --- Euroopa Ühenduste Parlamentaarne Assamblee --- Asamblea Parlamentaria Europea --- Assemblea parlamentare europea --- Assemblée européenne --- European Parliamentary Assembly --- Asamblea Europea --- Assembleia Europeia --- Eiropas parlamentārā asambleja --- Europäische Parlamentarische Versammlung --- Versammlung EG --- Europska skupština --- Συνέλευση --- Assemblea europea --- Eiropas Asambleja --- Euroopan edustajakokous --- Assemblée parlementaire européenne --- ευρωπαϊκή κοινοβουλευτική συνέλευση --- Európske zhromaždenie --- Europeiska församlingen --- Adunarea Parlamentară Europeană --- il-Parlament Ewropew --- Europos Asamblėja --- Ευρωπαϊκή Συνέλευση --- Europarlamento --- Europos Parlamento Asamblėja --- Európai Közgyűlés --- esettanulmány --- rast studimor --- περιπτωσιολογική μελέτη --- prípadová štúdia --- casestudy --- fallstudie --- cás-staidéar --- atvejo tyrimas --- studiu de caz --- анализа случаја --- estudo de casos --- gadījumu izpēte --- студија на случај --- Fallstudie --- estudio de casos --- juhtumiuuring --- tapaustutkimus --- étude de cas --- případová studie --- studia przypadków --- изучаване на процеса --- analiza slučaja --- študija primera --- studio di fattispecie --- studju tal-każijiet --- estudio de caso práctico --- estudio de casos típicos --- gadījumu studijas --- case-study --- análisis de casos típicos --- problemos nagrinėjimas --- анализа на случај --- детално проучување на случај --- análisis de ejemplos concretos --- studija slučaja --- estudio de casos concretos --- estudio de ejemplos prácticos --- proučavanje slučaja --- детално следење на случај --- европски избори --- elezzjoni Ewropea --- Eiropas vēlēšanas --- élection européenne --- европейски избори --- eleição europeia --- elecciones europeas --- Europese verkiezing --- elezioni europee --- európske voľby --- europäische Wahl --- európai választás --- Euroopan parlamentin vaalit --- europski izbori --- Europos Parlamento rinkimai --- val till Europaparlamentet --- zgjedhje europiane --- evropske volitve --- wybory europejskie --- valg til Europa-Parlamentet --- ευρωπαϊκές εκλογές --- Euroopa Parlamendi valimised --- alegeri europene --- evropské volby --- Wahl zum Europäischen Parlament --- избори за Европскиот парламент --- volby do Evropského parlamentu --- ευρωεκλογές --- európai parlamenti választás --- Europawahl --- Verhältniswahl --- rappreżentanza proporzjonali --- αναλογική αντιπροσώπευση --- сразмерна заступљеност --- proportionell representation --- razmjerna zastupljenost --- proporcinis atstovavimas --- pomerné zastúpenie --- reprezentare proporțională --- proporcionālā vēlēšanu sistēma --- evenredige vertegenwoordiging --- пропорционална застапеност --- representación proporcional --- sorazmerna zastopanost --- suhteellinen edustus --- représentation proportionnelle --- rappresentanza proporzionale --- forholdstalsrepræsentation --- system proporcjonalny --- poměrné zastoupení --- përfaqësim proporcional --- võrdeline esindatus --- пропорционален избор --- arányos képviselet --- representação proporcional --- proporční zastoupení --- Verhältniswahlrecht --- απλή αναλογική --- proporcionální zastoupení --- proportionellt val --- сразмерна застапеност --- scrutin proportionnel --- systém poměrného zastoupení --- forholdstalsvalg --- αναλογική --- arányos képviseleti rendszer --- систем на пропорционална застапеност --- proportsionaalne esindatus --- sistema della rappresentanza proporzionale --- poměrné hlasování --- ενισχυμένη αναλογική --- proporcionalna zastupljenost --- toghchán Eorpach --- ionadaíocht chionmhar --- Game Theory. --- Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. --- Statistical methods.