# A family of Hamilton type methods for congressional apportionments

RAIRO - Operations Research - Recherche Opérationnelle (1992)

- Volume: 26, Issue: 1, page 31-40
- ISSN: 0399-0559

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topGonzalez, J., and Lacourly, N.. "A family of Hamilton type methods for congressional apportionments." RAIRO - Operations Research - Recherche Opérationnelle 26.1 (1992): 31-40. <http://eudml.org/doc/105028>.

@article{Gonzalez1992,

author = {Gonzalez, J., Lacourly, N.},

journal = {RAIRO - Operations Research - Recherche Opérationnelle},

keywords = {partial population monotonicity; near fair share; apportionment of seats},

language = {eng},

number = {1},

pages = {31-40},

publisher = {EDP-Sciences},

title = {A family of Hamilton type methods for congressional apportionments},

url = {http://eudml.org/doc/105028},

volume = {26},

year = {1992},

}

TY - JOUR

AU - Gonzalez, J.

AU - Lacourly, N.

TI - A family of Hamilton type methods for congressional apportionments

JO - RAIRO - Operations Research - Recherche Opérationnelle

PY - 1992

PB - EDP-Sciences

VL - 26

IS - 1

SP - 31

EP - 40

LA - eng

KW - partial population monotonicity; near fair share; apportionment of seats

UR - http://eudml.org/doc/105028

ER -

## References

top- 1. M. L. BALINSKI and H. P. YOUNG, The Quota Method of Apportionment, Amer. Math. Monthly, 1975, 82, pp. 701-730. Zbl0316.90021MR504067
- 2. M. L. BALINSKI and H. P. YOUNG, Fair Representation, New Haven and London, Yale University, Press, 1982. MR649246
- 3. G. BIRKHOFF, House monotone apportionment schemes, Proc. Nat. Acad. Sci. U.S.A. 1976, 73, pp. 684-686. Zbl0322.90075MR403731
- 4. P. C. FISHBURN and S. J. BRAMS, Paradoxes of Preferntial Voting, Math. Mag., 1983, 56, pp. 207-214. Zbl0521.90006MR1572476
- 5. E. V. HUNTINGTON, The Apportionment of Representatives in Congress, Trans. Am. Math. Soc. 1968, 80, pp. 85-110. Zbl54.0543.04MR1501423JFM54.0543.04
- 6. J. W. STILL, Class of New Methods for Congressional Apportionment, S.I.A.M. J. Appl. Math., 1979, 37, pp. 401-418. Zbl0416.90039MR543959
- 7. D. R. WOODALL, How Proportional is Proportional Representation, Math. Intelligencer, 1986, 8, pp. 36-46. Zbl0618.92021MR858297
- 8. H. P. YOUNG, Fair Allocation, Procceding of Symposia in Applied Mathematics, 33, AMS Providence, Rhode Island, 1985. Zbl0567.00014MR814330

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