%A M.L. Balinski
%A H.P. Young
%J Mathematics of Operations Research
%T Quotatone Apportionment Methods
%X 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.
%N 1
%P 31-38
%V 4
%D 1979
%I INFORMS
%R 10.1287/moor.4.1.31
%L iiasa14051