The Theory of Apportionment

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1364 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1364 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/1364 archive 351 disk0/00/00/13/38 2016-01-15 01:47:49 2021-08-27 17:09:47 2016-01-15 01:47:49 monograph show 2 Balinski M.L. AL0014 Young H.P. AL1397 The Theory of Apportionment pub iis_met prog_sds A key problem area at IIASA is the study of how goods and resources -- as well as "bads" such as costs, pollution, and risks -- can or should be shared among different nations, groups, or individuals. This raises the question of what is meant by a fair division -- and, if this question can be answered at all, how fair divisions can be achieved. One of the situations studied in the System and Decision Sciences Area was how to allocate or "apportion" discrete entities in proportion to predetermined claims, a problem which encompasses many situations including for example the apportionment of political representation among different regions and constituencies. The result of this study was the development of a general theory to deal with such problems, together with concrete criteria of fairness which will hopefully prove useful to analyzing larger classes of problems. 1980-08 published WP-80-131 WP-80-131 1703 2539 public working_paper IIASA, Laxenburg, Austria 84 FALSE info:eu-repo/semantics/book