Highest averages method (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Highest averages method" in English language version.

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Balinski, Michel L.; Young, H. Peyton (1982). Fair Representation: Meeting the Ideal of One Man, One Vote. New Haven: Yale University Press. ISBN 0-300-02724-9.
Balinski, Michel L.; Young, H. Peyton (1982). Fair Representation: Meeting the Ideal of One Man, One Vote. New Haven: Yale University Press. ISBN 0-300-02724-9.
Balinski, Michel L.; Young, H. Peyton (1982). Fair Representation: Meeting the Ideal of One Man, One Vote. New Haven: Yale University Press. ISBN 0-300-02724-9.
Balinski, Michel L.; Young, H. Peyton (1982). Fair Representation: Meeting the Ideal of One Man, One Vote. New Haven: Yale University Press. ISBN 0-300-02724-9.

cambridge.org

Argersinger, Peter H., ed. (2012), ""Injustices and Inequalities": The Politics of Apportionment, 1870–1888", Representation and Inequality in Late Nineteenth-Century America: The Politics of Apportionment, Cambridge: Cambridge University Press, pp. 8–41, doi:10.1017/cbo9781139149402.002, ISBN 978-1-139-14940-2, retrieved 2024-08-04, Apportionment not only determined the power of different states in Congress but, because it allocated electors as well, directly affected the election of the president. Indeed, the peculiar apportionment of 1872, adopted in violation of the prevailing law mandating the method of allocating seats, was directly responsible for the 1876 election of Rutherford B. Hayes with a popular vote minority. Had the previous method been followed, even the Electoral Commission would have been unable to place Hayes in the White House.

doi.org

Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Divisor Methods of Apportionment: Divide and Round", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
Pukelsheim, Friedrich (2017), "From Reals to Integers: Rounding Functions, Rounding Rules", Proportional Representation: Apportionment Methods and Their Applications, Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Quota Methods of Apportionment: Divide and Rank", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 95–105, doi:10.1007/978-3-319-64707-4_5, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Securing System Consistency: Coherence and Paradoxes", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 159–183, doi:10.1007/978-3-319-64707-4_9, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Exposing Methods: The 2014 European Parliament Elections", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 1–40, doi:10.1007/978-3-319-64707-4_1, ISBN 978-3-319-64707-4, retrieved 2024-07-03
Argersinger, Peter H., ed. (2012), ""Injustices and Inequalities": The Politics of Apportionment, 1870–1888", Representation and Inequality in Late Nineteenth-Century America: The Politics of Apportionment, Cambridge: Cambridge University Press, pp. 8–41, doi:10.1017/cbo9781139149402.002, ISBN 978-1-139-14940-2, retrieved 2024-08-04, Apportionment not only determined the power of different states in Congress but, because it allocated electors as well, directly affected the election of the president. Indeed, the peculiar apportionment of 1872, adopted in violation of the prevailing law mandating the method of allocating seats, was directly responsible for the 1876 election of Rutherford B. Hayes with a popular vote minority. Had the previous method been followed, even the Electoral Commission would have been unable to place Hayes in the White House.
Caulfield, Michael J. (2012). "What If? How Apportionment Methods Choose Our Presidents". The Mathematics Teacher. 106 (3): 178–183. doi:10.5951/mathteacher.106.3.0178. ISSN 0025-5769.
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Divisor Methods of Apportionment: Divide and Round", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
Pukelsheim, Friedrich (2017), "From Reals to Integers: Rounding Functions, Rounding Rules", Proportional Representation: Apportionment Methods and Their Applications, Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Divisor Methods of Apportionment: Divide and Round", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Targeting the House Size: Discrepancy Distribution", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 107–125, doi:10.1007/978-3-319-64707-4_6, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Pukelsheim, Friedrich (2017), "From Reals to Integers: Rounding Functions, Rounding Rules", Proportional Representation: Apportionment Methods and Their Applications, Springer International Publishing, pp. 71–93, doi:10.1007/978-3-319-64707-4_4, ISBN 978-3-319-64707-4, retrieved 2021-09-01
Gallagher, Michael (1991). "Proportionality, disproportionality and electoral systems" (PDF). Electoral Studies. 10 (1): 33–51. doi:10.1016/0261-3794(91)90004-C. Archived from the original (PDF) on 2016-03-04.
Gallagher, Michael (1992). "Comparing Proportional Representation Electoral Systems: Quotas, Thresholds, Paradoxes and Majorities" (PDF). British Journal of Political Science. 22 (4): 469–496. doi:10.1017/S0007123400006499. ISSN 0007-1234. S2CID 153414497.
Ichimori, Tetsuo (2010). "New apportionment methods and their quota property". JSIAM Letters. 2: 33–36. doi:10.14495/jsiaml.2.33. ISSN 1883-0617.
Pennisi, Aline (March 1998). "Disproportionality indexes and robustness of proportional allocation methods". Electoral Studies. 17 (1): 3–19. doi:10.1016/S0261-3794(97)00052-8.
Balinski, M. L.; Young, H. P. (January 1980). "The Webster method of apportionment". Proceedings of the National Academy of Sciences. 77 (1): 1–4. Bibcode:1980PNAS...77....1B. doi:10.1073/pnas.77.1.1. ISSN 0027-8424. PMC 348194. PMID 16592744.
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Favoring Some at the Expense of Others: Seat Biases", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 127–147, doi:10.1007/978-3-319-64707-4_7, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Tracing Peculiarities: Vote Thresholds and Majority Clauses", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 207–223, doi:10.1007/978-3-319-64707-4_11, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Truncating Seat Ranges: Minimum-Maximum Restrictions", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 225–245, doi:10.1007/978-3-319-64707-4_12, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Ernst, Lawrence R. (1994). "Apportionment Methods for the House of Representatives and the Court Challenges". Management Science. 40 (10): 1207–1227. doi:10.1287/mnsc.40.10.1207. ISSN 0025-1909. JSTOR 2661618.
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Quota Methods of Apportionment: Divide and Rank", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 95–105, doi:10.1007/978-3-319-64707-4_5, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "Securing System Consistency: Coherence and Paradoxes", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 159–183, doi:10.1007/978-3-319-64707-4_9, ISBN 978-3-319-64707-4, retrieved 2024-05-10
Pukelsheim, Friedrich (2017), Pukelsheim, Friedrich (ed.), "From Reals to Integers: Rounding Functions and Rounding Rules", Proportional Representation: Apportionment Methods and Their Applications, Cham: Springer International Publishing, pp. 59–70, doi:10.1007/978-3-319-64707-4_3, ISBN 978-3-319-64707-4, retrieved 2021-09-01
Lauwers, Luc; Van Puyenbroeck, Tom (2008). "Minimally Disproportional Representation: Generalized Entropy and Stolarsky Mean-Divisor Methods of Apportionment". SSRN Electronic Journal. doi:10.2139/ssrn.1304628. ISSN 1556-5068. S2CID 124797897.
Wada, Junichiro (2012-05-01). "A divisor apportionment method based on the Kolm–Atkinson social welfare function and generalized entropy". Mathematical Social Sciences. 63 (3): 243–247. doi:10.1016/j.mathsocsci.2012.02.002. ISSN 0165-4896.
Agnew, Robert A. (April 2008). "Optimal Congressional Apportionment". The American Mathematical Monthly. 115 (4): 297–303. doi:10.1080/00029890.2008.11920530. ISSN 0002-9890. S2CID 14596741.
Balinski, M. L.; Young, H. P. (1975-08-01). "The Quota Method of Apportionment". The American Mathematical Monthly. 82 (7): 701–730. doi:10.1080/00029890.1975.11993911. ISSN 0002-9890.

dx.doi.org

Lauwers, Luc; Van Puyenbroeck, Tom (2008). "Minimally Disproportional Representation: Generalized Entropy and Stolarsky Mean-Divisor Methods of Apportionment". SSRN Electronic Journal. doi:10.2139/ssrn.1304628. ISSN 1556-5068. S2CID 124797897.

elsevier.com

linkinghub.elsevier.com

Pennisi, Aline (March 1998). "Disproportionality indexes and robustness of proportional allocation methods". Electoral Studies. 17 (1): 3–19. doi:10.1016/S0261-3794(97)00052-8.

europa.eu

europarl.europa.eu

The allocation between the EU Member States of the seats in the European Parliament (PDF) (Report). European Parliament. 2011.

harvard.edu

ui.adsabs.harvard.edu

Balinski, M. L.; Young, H. P. (January 1980). "The Webster method of apportionment". Proceedings of the National Academy of Sciences. 77 (1): 1–4. Bibcode:1980PNAS...77....1B. doi:10.1073/pnas.77.1.1. ISSN 0027-8424. PMC 348194. PMID 16592744.

jstor.org

Caulfield, Michael J. (2012). "What If? How Apportionment Methods Choose Our Presidents". The Mathematics Teacher. 106 (3): 178–183. doi:10.5951/mathteacher.106.3.0178. ISSN 0025-5769.
Ernst, Lawrence R. (1994). "Apportionment Methods for the House of Representatives and the Court Challenges". Management Science. 40 (10): 1207–1227. doi:10.1287/mnsc.40.10.1207. ISSN 0025-1909. JSTOR 2661618.
Huntington, Edward V. (1929). "The Report of the National Academy of Sciences on Reapportionment". Science. 69 (1792): 471–473. ISSN 0036-8075.

maa.org

"Apportioning Representatives in the United States Congress - Adams' Method of Apportionment | Mathematical Association of America". www.maa.org. Retrieved 2020-11-11.^{[permanent dead link]}

nih.gov

ncbi.nlm.nih.gov

Balinski, M. L.; Young, H. P. (January 1980). "The Webster method of apportionment". Proceedings of the National Academy of Sciences. 77 (1): 1–4. Bibcode:1980PNAS...77....1B. doi:10.1073/pnas.77.1.1. ISSN 0027-8424. PMC 348194. PMID 16592744.

pubmed.ncbi.nlm.nih.gov

Balinski, M. L.; Young, H. P. (January 1980). "The Webster method of apportionment". Proceedings of the National Academy of Sciences. 77 (1): 1–4. Bibcode:1980PNAS...77....1B. doi:10.1073/pnas.77.1.1. ISSN 0027-8424. PMC 348194. PMID 16592744.

numdam.org

Sainte-Laguë, André. "La représentation proportionnelle et la méthode des moindres carrés." Annales scientifiques de l'école Normale Supérieure. Vol. 27. 1910.

sciencedirect.com

Wada, Junichiro (2012-05-01). "A divisor apportionment method based on the Kolm–Atkinson social welfare function and generalized entropy". Mathematical Social Sciences. 63 (3): 243–247. doi:10.1016/j.mathsocsci.2012.02.002. ISSN 0165-4896.

semanticscholar.org

api.semanticscholar.org

Gallagher, Michael (1992). "Comparing Proportional Representation Electoral Systems: Quotas, Thresholds, Paradoxes and Majorities" (PDF). British Journal of Political Science. 22 (4): 469–496. doi:10.1017/S0007123400006499. ISSN 0007-1234. S2CID 153414497.
Lauwers, Luc; Van Puyenbroeck, Tom (2008). "Minimally Disproportional Representation: Generalized Entropy and Stolarsky Mean-Divisor Methods of Apportionment". SSRN Electronic Journal. doi:10.2139/ssrn.1304628. ISSN 1556-5068. S2CID 124797897.
Agnew, Robert A. (April 2008). "Optimal Congressional Apportionment". The American Mathematical Monthly. 115 (4): 297–303. doi:10.1080/00029890.2008.11920530. ISSN 0002-9890. S2CID 14596741.

tandfonline.com

Agnew, Robert A. (April 2008). "Optimal Congressional Apportionment". The American Mathematical Monthly. 115 (4): 297–303. doi:10.1080/00029890.2008.11920530. ISSN 0002-9890. S2CID 14596741.

tcd.ie

Gallagher, Michael (1991). "Proportionality, disproportionality and electoral systems" (PDF). Electoral Studies. 10 (1): 33–51. doi:10.1016/0261-3794(91)90004-C. Archived from the original (PDF) on 2016-03-04.
Gallagher, Michael (1992). "Comparing Proportional Representation Electoral Systems: Quotas, Thresholds, Paradoxes and Majorities" (PDF). British Journal of Political Science. 22 (4): 469–496. doi:10.1017/S0007123400006499. ISSN 0007-1234. S2CID 153414497.

thedanishparliament.dk

"The Parliamentary Electoral System in Denmark". Archived from the original on 2016-08-28.

web.archive.org

Gallagher, Michael (1991). "Proportionality, disproportionality and electoral systems" (PDF). Electoral Studies. 10 (1): 33–51. doi:10.1016/0261-3794(91)90004-C. Archived from the original (PDF) on 2016-03-04.
"The Parliamentary Electoral System in Denmark". Archived from the original on 2016-08-28.

worldcat.org

search.worldcat.org

Caulfield, Michael J. (2012). "What If? How Apportionment Methods Choose Our Presidents". The Mathematics Teacher. 106 (3): 178–183. doi:10.5951/mathteacher.106.3.0178. ISSN 0025-5769.
Gallagher, Michael (1992). "Comparing Proportional Representation Electoral Systems: Quotas, Thresholds, Paradoxes and Majorities" (PDF). British Journal of Political Science. 22 (4): 469–496. doi:10.1017/S0007123400006499. ISSN 0007-1234. S2CID 153414497.
Ichimori, Tetsuo (2010). "New apportionment methods and their quota property". JSIAM Letters. 2: 33–36. doi:10.14495/jsiaml.2.33. ISSN 1883-0617.
Balinski, M. L.; Young, H. P. (January 1980). "The Webster method of apportionment". Proceedings of the National Academy of Sciences. 77 (1): 1–4. Bibcode:1980PNAS...77....1B. doi:10.1073/pnas.77.1.1. ISSN 0027-8424. PMC 348194. PMID 16592744.
Ernst, Lawrence R. (1994). "Apportionment Methods for the House of Representatives and the Court Challenges". Management Science. 40 (10): 1207–1227. doi:10.1287/mnsc.40.10.1207. ISSN 0025-1909. JSTOR 2661618.
Huntington, Edward V. (1929). "The Report of the National Academy of Sciences on Reapportionment". Science. 69 (1792): 471–473. ISSN 0036-8075.
Lauwers, Luc; Van Puyenbroeck, Tom (2008). "Minimally Disproportional Representation: Generalized Entropy and Stolarsky Mean-Divisor Methods of Apportionment". SSRN Electronic Journal. doi:10.2139/ssrn.1304628. ISSN 1556-5068. S2CID 124797897.
Wada, Junichiro (2012-05-01). "A divisor apportionment method based on the Kolm–Atkinson social welfare function and generalized entropy". Mathematical Social Sciences. 63 (3): 243–247. doi:10.1016/j.mathsocsci.2012.02.002. ISSN 0165-4896.
Agnew, Robert A. (April 2008). "Optimal Congressional Apportionment". The American Mathematical Monthly. 115 (4): 297–303. doi:10.1080/00029890.2008.11920530. ISSN 0002-9890. S2CID 14596741.
Balinski, M. L.; Young, H. P. (1975-08-01). "The Quota Method of Apportionment". The American Mathematical Monthly. 82 (7): 701–730. doi:10.1080/00029890.1975.11993911. ISSN 0002-9890.