Quotatone Apportionment Methods

Balinski, M.L. & Young, H.P. (1979). Quotatone Apportionment Methods. Mathematics of Operations Research 4 (1) 31-38. 10.1287/moor.4.1.31.

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Abstract

The problem of apportionment is that of allocating an integer number of seats “proportionally” among a set of states or regions as a fraction of their populations. An apportionment method satisfies quota if it accords to each state the exactly proportional (rational) number of seats due it rounded up or rounded down. A method is house monotone if no state’s allocation goes down when the total number of seats to be distributed goes up.

This paper gives a simple characterization of all house monotone methods satisfying quota. Further, a manner of exposition is formulated which unites several key house monotone apportionment methods, thus showing clearly their connections.

Item Type:	Article
Research Programs:	Technology, Economy, Society (TES)
Depositing User:	Romeo Molina
Date Deposited:	01 Dec 2016 14:37
Last Modified:	27 Aug 2021 17:28
URI:	https://pure.iiasa.ac.at/14051

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