liu.seSök publikationer i DiVA
Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
A new method for optimal proportional representation
Linköpings universitet, Matematiska institutionen, Optimeringslära. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0001-5907-0087
2019 (Engelska)Rapport (Övrigt vetenskapligt)
Abstract [en]

In a democratic proportional election system, it is vital that the mandates in the parliament are allocated as proportionally as possible to the number of votes the parties got in the election. We formulate an optimization model for allocation of seats in a parliament so as to minimize the disproportionality. By applying separable programming techniques, we obtain an easily solvable problem, and present a method for solving it optimally. The obtained solution is thus the feasible solution that has the minimal disproportionality (with the measure chosen), in contrast to the heuristic procedures used in many countries. We apply the approach to real life data from the last three elections in Sweden, and show that the result is better, i.e. more proportional, than what was obtained with the “adjusted odd number rule”, which is presently used. A natural suggestion would be to use our method instead.

We also consider the issue about constituencies, and suggest a procedure, based on the same kind of optimization problem, for allocating mandates in the constituencies, without changing the overall allocation with respect to parties. In our approach, the numbers of mandates for the constituencies are based on the number of votes given, not on estimated numbers of inhabitants. This removes the need for fixed and equalization mandates, and also makes the question about sizes of the constituencies less important.

Ort, förlag, år, upplaga, sidor
Linköping: Linköping University Electronic Press, 2019. , s. 20
Serie
LiTH-MAT-R, ISSN 0348-2960 ; 2019:1
Nyckelord [en]
Democracy, proportional representation, the adjusted odd number rule
Nationell ämneskategori
Matematik
Identifikatorer
URN: urn:nbn:se:liu:diva-154458ISRN: LiTH-MAT-R--2019/01--SEOAI: oai:DiVA.org:liu-154458DiVA, id: diva2:1288364
Tillgänglig från: 2019-02-13 Skapad: 2019-02-13 Senast uppdaterad: 2019-02-26Bibliografiskt granskad

Open Access i DiVA

A new method for optimal proportional representation(208 kB)61 nedladdningar
Filinformation
Filnamn FULLTEXT01.pdfFilstorlek 208 kBChecksumma SHA-512
0ba8b13f8462041244137613ef225328b01f97e02b08a72ecf66528f50db4e662859585e2ab27e6a883577cd9dbbe66939fbe01867bccf580e24ea5aab4337cd
Typ fulltextMimetyp application/pdf

Personposter BETA

Holmberg, Kaj

Sök vidare i DiVA

Av författaren/redaktören
Holmberg, Kaj
Av organisationen
OptimeringsläraTekniska fakulteten
Matematik

Sök vidare utanför DiVA

GoogleGoogle Scholar
Totalt: 61 nedladdningar
Antalet nedladdningar är summan av nedladdningar för alla fulltexter. Det kan inkludera t.ex tidigare versioner som nu inte längre är tillgängliga.

urn-nbn

Altmetricpoäng

urn-nbn
Totalt: 556 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf