Proportional Representation: Apportionment Methods and Their Applications

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Springer, 28. des. 2017 - 342 sider
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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.

 

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Utvalgte sider

Innhold

The 2014 European Parliament Elections
1
The 2009 Bundestag Election
41
Rounding Functionsand Rounding Rules
59
Divide and Round
71
Divide and Rank
95
Discrepancy Distribution
107
Seat Biases
127
Majorization
149
Vote Thresholds and Majority Clauses
207
MinimumMaximum Restrictions
225
BWG 2013
247
Double Proportionality
259
Technicalities
275
16 Biographical Digest
297
Notes and Comments
319
References
331

Coherence and Paradoxes
159
GoodnessofFit Criteria
185
Index
339
Opphavsrett

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Vanlige uttrykk og setninger

ˇ ˇ A.hIv alliance allocated apportioned apportionment method apportionment rule Bundestag candidates Coherence Coherence Theorem column direct seats discrepancy district magnitudes DivDwn divisor method DivStd double-proportional downward rounding Droop-quota electoral system electoral threshold equal European Union fit by greatest floor function fractional George Pólya greatest remainders GREENS/EFA Hare-quota method Hence house size h ideal share increment options integer interim quotients main apportionment max-min inequality Member method with downward method with residual method with standard overhang seats ÖVP Parliament Political group proof proportional representation Pukelsheim quota methods residual fit rounding function rounding rule seat apportionment seat excess seat matrix seat numbers seat vector Sect select divisor share of seats signpost sequence solution set SPÖ standard rounding stationary divisor method stronger parties sub-apportionment Sum Divisor super-apportionment Table Theorem valid votes vote counts vote vector vote weights voters Walter Francis WILLCOX weaker parties zero

Om forfatteren (2017)

Friedrich Pukelsheim is professor emeritus of University of Augsburg, where he held the Chair for Stochastics and its Applications from 1983 to 2014. The book grew out of interdisciplinary courses and seminars on electoral systems and apportionment methods conducted during many years in Augsburg and at other academic institutions. Pukelsheim has published extensively on apportionment issues in journals of mathematics, statistics, political sciences, state law, and history. He has testified as an expert witness before legal and political bodies, including the European Parliament, the German Bundestag, and several German State Diets and Swiss Canton Parliaments.

Bibliografisk informasjon

QR code for Proportional Representation
TittelProportional Representation: Apportionment Methods and Their Applications
ForfatterFriedrich Pukelsheim
Utgave2
UtgiverSpringer, 2017
ISBN3319647075, 9783319647074
Lengde342 sider
  
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