"14051","6","archive","5",,,"disk0/00/01/40/51","2016-12-01 14:37:27","2021-08-27 17:28:09","2016-12-01 14:37:27","article",,,"show","","","2",,,"Balinski","M.L.","","","AL0014","","",,,,,"","","Quotatone Apportionment Methods","pub","","","prog_tes",,,"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.","1979-02","published","INFORMS","10.1287/moor.4.1.31",,,,,,"",,,,,"",,,,,"",,,,,"","",,"",,,,,,,"1703","none",,,,"Mathematics of Operations Research","4","1",,"31-38",,,,,,,,,,,"TRUE",,"0364-765X",,,,,,"","","","",,"","",,,,,,,"",,,,,"FALSE",,,"info:eu-repo/semantics/article",
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