relation: https://pure.iiasa.ac.at/id/eprint/14051/
title: Quotatone Apportionment Methods
creator: Balinski, M.L.
creator: Young, H.P.
description: 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.
publisher: INFORMS
date: 1979-02
type: Article
type: PeerReviewed
identifier:   Balinski, M.L. <https://pure.iiasa.ac.at/view/iiasa/1703.html> & Young, H.P. <https://pure.iiasa.ac.at/view/iiasa/2539.html>  (1979).  Quotatone Apportionment Methods.   Mathematics of Operations Research 4 (1) 31-38. 10.1287/moor.4.1.31 <https://doi.org/10.1287/moor.4.1.31>.       
relation: 10.1287/moor.4.1.31
identifier: 10.1287/moor.4.1.31
doi: 10.1287/moor.4.1.31