Bidimensional allocation of seats via zero-one matrices with given line sums
Author
Abstract
Suggested Citation
DOI: 10.1007/s10479-013-1440-2
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Gassner, Marjorie, 1988.
"Two-dimensional rounding for a quasi-proportional representation,"
European Journal of Political Economy, Elsevier, vol. 4(4), pages 529-538.
- Marjorie Gassner, 1988. "Two-dimensional rounding for a quasi-proportional representation," ULB Institutional Repository 2013/232152, ULB -- Universite Libre de Bruxelles.
- M. L. Balinski & G. Demange, 1989.
"An Axiomatic Approach to Proportionality Between Matrices,"
Mathematics of Operations Research, INFORMS, vol. 14(4), pages 700-719, November.
- Michel L. Balinski & Gabrielle Demange, 1989. "An Axiomatic Approach to Proportionality between Matrices," Post-Print hal-00686748, HAL.
- Gabrielle Demange & Michel L. Balinski, 1989. "An Axiomatic Approach to Proportionality between Matrices," Post-Print halshs-00670952, HAL.
- Federica Ricca & Andrea Scozzari & Paolo Serafini & Bruno Simeone, 2012. "Error minimization methods in biproportional apportionment," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 547-577, October.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Haydar Evren & Manshu Khanna, 2021. "Affirmative Action's Cumulative Fractional Assignments," Papers 2111.11963, arXiv.org, revised Feb 2024.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Paolo Serafini, 2015. "Certificates of optimality for minimum norm biproportional apportionments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 1-12, January.
- Marjorie B. Gassner, 1991. "Biproportional Delegations," Journal of Theoretical Politics, , vol. 3(3), pages 321-342, July.
- Haydar Evren & Manshu Khanna, 2021. "Affirmative Action's Cumulative Fractional Assignments," Papers 2111.11963, arXiv.org, revised Feb 2024.
- Gabrielle Demange, 2018.
"New electoral systems and old referendums,"
PSE Working Papers
hal-01852206, HAL.
- Gabrielle Demange, 2019. "New Electoral Systems and Old Referendums," Post-Print halshs-02491873, HAL.
- Gabrielle Demange, 2018. "New electoral systems and old referendums," Working Papers hal-01852206, HAL.
- Gabrielle Demange, 2019. "New Electoral Systems and Old Referendums," PSE-Ecole d'économie de Paris (Postprint) halshs-02491873, HAL.
- Demange, Gabrielle, 2012.
"On party-proportional representation under district distortions,"
Mathematical Social Sciences, Elsevier, vol. 63(2), pages 181-191.
- Gabrielle Demange, 2011. "On party-proportional representation under district distortions," PSE Working Papers halshs-00623031, HAL.
- Gabrielle Demange, 2012. "On party-proportional representation under district distortions," PSE-Ecole d'économie de Paris (Postprint) halshs-00670843, HAL.
- Gabrielle Demange, 2012. "On party-proportional representation under district distortions," Post-Print halshs-00670843, HAL.
- Gabrielle Demange, 2011. "On party-proportional representation under district distortions," Working Papers halshs-00623031, HAL.
- Oelbermann, Kai-Friederike, 2016. "Alternate Scaling algorithm for biproportional divisor methods," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 25-32.
- Gabrielle Demange, 2021.
"On the resolution of cross-liabilities,"
PSE Working Papers
halshs-03151128, HAL.
- Gabrielle Demange, 2021. "On the resolution of cross-liabilities," Working Papers halshs-03151128, HAL.
- Gabrielle Demange, 2024. "On the resolution of cross-liabilities," PSE-Ecole d'économie de Paris (Postprint) halshs-04156110, HAL.
- Gabrielle Demange, 2024. "On the resolution of cross-liabilities," Post-Print halshs-04156110, HAL.
- Gabrielle Demange, 2013.
"On Allocating Seats To Parties And Districts: Apportionments,"
International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-14.
- Gabrielle Demange, 2011. "On allocating seats to parties and districts: apportionments," PSE Working Papers halshs-00644439, HAL.
- Gabrielle Demange, 2013. "On allocating seats to parties and districts: apportionments," PSE-Ecole d'économie de Paris (Postprint) halshs-00879779, HAL.
- Gabrielle Demange, 2011. "On allocating seats to parties and districts: apportionments," Working Papers halshs-00644439, HAL.
- Gabrielle Demange, 2013. "On allocating seats to parties and districts: apportionments," Post-Print halshs-00879779, HAL.
- Michel Balinski, 2007. "Equitable representation and recruitment," Annals of Operations Research, Springer, vol. 149(1), pages 27-36, February.
- Demange, Gabrielle, 2017.
"Mutual rankings,"
Mathematical Social Sciences, Elsevier, vol. 90(C), pages 35-42.
- Gabrielle Demange, 2016. "Mutual rankings," Working Papers halshs-01353825, HAL.
- Gabrielle Demange, 2017. "Mutual rankings," Post-Print halshs-01630624, HAL.
- Gabrielle Demange, 2017. "Mutual rankings," PSE-Ecole d'économie de Paris (Postprint) halshs-01630624, HAL.
- Gabrielle Demange, 2016. "Mutual rankings," PSE Working Papers halshs-01353825, HAL.
- Kerem Akartunalı & Philip A. Knight, 2017. "Network models and biproportional rounding for fair seat allocations in the UK elections," Annals of Operations Research, Springer, vol. 253(1), pages 1-19, June.
- Moulin, Hervé, 2016. "Entropy, desegregation, and proportional rationing," Journal of Economic Theory, Elsevier, vol. 162(C), pages 1-20.
- Michel L. Balinski & Gabrielle Demange, 1989. "Algorithm for Proportional Matrices in Reals and Integers," Post-Print halshs-00585327, HAL.
- Victoriano Ramírez-González & Blanca Delgado-Márquez & Antonio Palomares & Adolfo López-Carmona, 2014. "Evaluation and possible improvements of the Swedish electoral system," Annals of Operations Research, Springer, vol. 215(1), pages 285-307, April.
- MESNARD, Louis de, 1999. "Interpretation of the RAS method : absorption and fabrication effects are incorrect," LATEC - Document de travail - Economie (1991-2003) 9907, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
- Gabrielle Demange, 2018.
"Mechanisms in a Digitalized World,"
CESifo Working Paper Series
6984, CESifo.
- Gabrielle Demange, 2019. "Mechanisms in a digitalized world," Post-Print hal-01715951, HAL.
- Gabrielle Demange, 2019. "Mechanisms in a digitalized world," PSE-Ecole d'économie de Paris (Postprint) hal-01715951, HAL.
- Attila Tasnádi, 2008. "The extent of the population paradox in the Hungarian electoral system," Public Choice, Springer, vol. 134(3), pages 293-305, March.
- Ricca, Federica & Scozzari, Andrea & Simeone, Bruno, 2011. "The give-up problem for blocked regional lists with multi-winners," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 14-24, July.
- Sascha Kurz & Stefan Napel, 2014.
"Heuristic and exact solutions to the inverse power index problem for small voting bodies,"
Annals of Operations Research, Springer, vol. 215(1), pages 137-163, April.
- Sascha Kurz & Stefan Napel, 2012. "Heuristic and exact solutions to the inverse power index problem for small voting bodies," Jena Economics Research Papers 2012-045, Friedrich-Schiller-University Jena.
- Friedrich Pukelsheim, 2014. "Biproportional scaling of matrices and the iterative proportional fitting procedure," Annals of Operations Research, Springer, vol. 215(1), pages 269-283, April.
More about this item
Keywords
(0; 1)-matrices with given line sums; Matrices with fixed zeros; Bidimensional allocation; Electoral systems;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:215:y:2014:i:1:p:165-181:10.1007/s10479-013-1440-2. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.