TY  - JOUR
ID  - iiasa14051
UR  - https://pure.iiasa.ac.at/id/eprint/14051/
IS  - 1
A1  - Balinski, M.L.
A1  - Young, H.P.
Y1  - 1979/02//
N2  - 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
JF  - Mathematics of Operations Research
VL  - 4
SN  - 0364-765X
TI  - Quotatone Apportionment Methods
SP  - 31
AV  - none
EP  - 38
ER  -