Apportionment Bibliography (1/12/07)
Mathematics and Computing Department
York College (CUNY)
Jamaica, New York 11451-0001
Email: firstname.lastname@example.org (for additions, suggestions, and corrections)
Abeles, F., C.L. Dodgson and apportionment for proportional representation, Bull.
Ind. Soc. History of Math., 3 (1981) 71-82.
Baily, W., Proportional Representation in Large Constituencies, Ridgeway, London,
Balinski, M. and H. Young, Criteria for proportional representation, Operations Research
27 (1979) 80-95.
Balinski, M. and H. Young, Fair Representation, Yale University Press, New Haven,
Balinski, M. and H. Young, The Apportionment of Representation, in Fair Allocation,
H. Young, (ed.), Proceedings of Symposia in Applied Mathematics, Volume 33, American
Mathematical Society, Providence, 1985.
Bennett, S., et al, The Apportionment Problem, COMAP (Consortium for Mathematics and
its Applications), Lexington, 1986.
Birkhoff, G., House monotone apportionment schemes, Proc. Nat. Acad. Sciences, 73
D'Hondt, V., La Répresentation Proportionnelles des Partis par un Electeur, Frankfort,
1885 (republished: Ghent, 1978.)
Dixon, R., Democratic Representation: Reapportionment in Law and Politics, Oxford
U. Press, London, 1968.
Dodgson, C., The Principles of Parliamentary Representation, Harrison and Sons, London,
1884 (Supplement, 1885, Postscript to Supplement, 1885.)
Droop, H., On Methods of Electing Representatives, Macmillan, London, 1868.
Eisner, M.,, Methods of Congressional Apportionment, UMAP Module 620, COMAP (Consortium
for Mathematics and its Applications), Lexington.
Ernst, L, Apportionment methods for the House of Representatives and the court challenges,
Management Science 40 (1994) 1207-1227.
Grilli di Cortona, et al, Evaluation and Optimization of Electoral Systems, SIAM Monographs on Discrete Mathematics and Applications,SIAM, Philadelphia, 1996.
Hare, T., The Election of Representatives, Parliamentary and Municipal, London, 1859.
Hart, J., Proportional representation: Critics of the British electoral system 1820-1945,
Oxford U. Press, Oxford, 1992.
Hoag, C. and G. Hallett, Proportional Representation, Macmillan, New York, 1926.
Humphreys, J., Proprtional Representation,, Methuen, London, 1911.
Huntington, E., The mathematical theory of the apportionment of representatives, Pro.
of the National Academy of Sciences, 7 (1921) 123-127.
Huntington, E., The mathematical theory of the apportionment of representatives,,
Proc. Nat. Acad. Sciences, 7 (1921) 123-127.
Huntington, E., The apportionment of representatives in Congress, Transactions of
the American Mathematical Society 30 (1928) 85-110.
Huntington, E., Discussion: The Report of the National Academy of Sciences on Reapportionment,
Science, May 3, 1929, pp. 471-473.
Lucas, W., The Apportionment Problem, in Political and Related Models, Springer-Verlag.
Saari, D., Apportionment methods and the House of Representatives, Amer. Math. Monthly,,
85 (1978) 792-802.
Saari, D., The Geometry of Voting, Springer-Verlag, New York, 1994.
Young, H., Equity, Princeton U. Press, Princeton, 1994.
This work was prepared with partial support from the National Science Foundation (Grant
Number: DUE 9555401) to the Long Island Consortium for Interconnected Learning (administered
by SUNY at Stony Brook).
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