RT Journal Article
SR 00
ID 10.1287/moor.4.1.31
A1 Balinski, M.L.
A1 Young, H.P.
T1 Quotatone Apportionment Methods
JF Mathematics of Operations Research
YR 1979
FD 1979-02
VO 4
IS 1
SP 31
OP 38
AB 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.
PB INFORMS
SN 0364-765X
LK https://pure.iiasa.ac.at/id/eprint/14051/