Apportionment Bibliography (1/12/07)

Prepared by:

Joseph Malkevitch

Mathematics and Computing Department

York College (CUNY)

Jamaica, New York 11451-0001

Email: malkevitch@york.cuny.edu (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, 1872.

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, 1982.

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 (1976) 684-686.

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.

Acknowledgement

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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