An Axiomatic Approach to Proportionality between Matrices
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- Gabrielle Demange & Michel L. Balinski, 1989. "An Axiomatic Approach to Proportionality between Matrices," Post-Print halshs-00670952, HAL.
References listed on IDEAS
- H. Peyton Young, 1987. "On Dividing an Amount According to Individual Claims or Liabilities," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 398-414, August.
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Cited by:
- 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.
- Michel L. Balinski & Gabrielle Demange, 1989. "Algorithm for Proportional Matrices in Reals and Integers," Post-Print halshs-00585327, HAL.
- 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.
- Marjorie B. Gassner, 1991. "Biproportional Delegations," Journal of Theoretical Politics, , vol. 3(3), pages 321-342, July.
- 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.
- Gabrielle Demange, 2021.
"On the resolution of cross-liabilities,"
Working Papers
halshs-03151128, HAL.
- Gabrielle Demange, 2024. "On the resolution of cross-liabilities," Post-Print halshs-04156110, HAL.
- Gabrielle Demange, 2024. "On the resolution of cross-liabilities," PSE-Ecole d'économie de Paris (Postprint) halshs-04156110, HAL.
- Gabrielle Demange, 2021. "On the resolution of cross-liabilities," PSE Working Papers halshs-03151128, HAL.
- 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, 2016. "Mutual rankings," PSE Working Papers halshs-01353825, HAL.
- Gabrielle Demange, 2017. "Mutual rankings," PSE-Ecole d'économie de Paris (Postprint) halshs-01630624, HAL.
- Moulin, Herve, 2017. "Consistent bilateral assignment," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 43-55.
- 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.
- 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.
- 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, 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," PSE-Ecole d'économie de Paris (Postprint) halshs-00879779, 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.
- Attila Tasnádi, 2008. "The extent of the population paradox in the Hungarian electoral system," Public Choice, Springer, vol. 134(3), pages 293-305, March.
- Oelbermann, Kai-Friederike, 2016. "Alternate Scaling algorithm for biproportional divisor methods," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 25-32.
- Gabrielle Demange, 2020. "Resolution rules in a system of financially linked firms," Working Papers hal-02502413, 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.
- Paolo Serafini & Bruno Simeone, 2012. "Certificates of optimality: the third way to biproportional apportionment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 247-268, February.
- ,, 2014.
"A ranking method based on handicaps,"
Theoretical Economics, Econometric Society, vol. 9(3), September.
- Gabrielle Demange, 2013. "A ranking method based on handicaps," Working Papers halshs-00687180, HAL.
- Gabrielle Demange, 2014. "A ranking method based on handicaps," Post-Print halshs-01109087, HAL.
- Gabrielle Demange, 2014. "A ranking method based on handicaps," PSE-Ecole d'économie de Paris (Postprint) halshs-01109087, HAL.
- Gabrielle Demange, 2014. "A Ranking Method Based on Handicaps," CESifo Working Paper Series 4636, CESifo.
- Gabrielle Demange, 2013. "A ranking method based on handicaps," PSE Working Papers halshs-00687180, HAL.
- Isabella Lari & Federica Ricca & Andrea Scozzari, 2014. "Bidimensional allocation of seats via zero-one matrices with given line sums," Annals of Operations Research, Springer, vol. 215(1), pages 165-181, 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.
- 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.
- Moulin, Hervé, 2016. "Entropy, desegregation, and proportional rationing," Journal of Economic Theory, Elsevier, vol. 162(C), pages 1-20.
- 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.
- Gaffke, Norbert & Pukelsheim, Friedrich, 2008. "Divisor methods for proportional representation systems: An optimization approach to vector and matrix apportionment problems," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 166-184, September.
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Keywords
axiomatics; fairness; optimality; scaling; allocation; apportionment; contingency; rounding;All these keywords.
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