Abstract
This note presents an algorithm for computing the minimum total deviation apportionment. Some properties of this apportionment are also explored. This particular apportionment arises from the jurisprudential concern that total deviation is the appropriate measure for the harm caused by malapportionment of the United States House of Representatives.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
Oscar R. Burt and Curtis C. Harris, Jr., Apportionment of the U. S. House of Representatives: A minimum range, integer solution, allocation problem, Oper. Res. 11(1963), 648–652.
Michel L. Balinski and H. Peyton Young, Fair Representation, Meeting the Ideal of One Man, One Vote, 2nd ed. Brookings Institution Press, Washington, DC, 2001.
Paul H. Edelman, Getting the math right: Why California has too many seats in the House of Representatives, Vanderbilt Law Review, to appear.
E. J. Gilbert and J. A. Schatz, An ill-conceived proposal for apportionment of the U. S. House of Representatives, Oper. Res. 12(1964), 768–773.
Donald G. Saari, Geometry of Voting, Springer-Verlag, New York, 1994.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer Berlin · Heidelberg
About this paper
Cite this paper
Edelman, P.H. (2006). Minimum Total Deviation Apportionments. In: Simeone, B., Pukelsheim, F. (eds) Mathematics and Democracy. Studies in Choice and Welfare. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-35605-3_4
Download citation
DOI: https://doi.org/10.1007/3-540-35605-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35603-5
Online ISBN: 978-3-540-35605-9
eBook Packages: Business and EconomicsEconomics and Finance (R0)