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Multi-Attribute Proportional Representation
Lang, Jerome...

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Multi-Attribute Proportional Representation by Lang, Jerome ( Author )
Lemonjar Open Access
N.A
01-01-2015
We consider the following problem in which a given number of items has to be chosen from a predefined set. Each item is described by a vector of attributes and for each attribute there is a desired distribution that the selected set should have. We look for a set that fits as much as possible the desired distributions on all attributes. Examples of applications include choosing members of a representative committee, where candidates are described by attributes such as sex, age and profession, and where we look for a committee that for each attribute offers a certain representation, i.e., a single committee that contains a certain number of young and old people, certain number of men and women, certain number of people with different professions, etc. With a single attribute the problem collapses to the apportionment problem for party-list proportional representation systems (in such case the value of the single attribute would be a political affiliation of a candidate). We study the properties of the associated subset selection rules, as well as their computation complexity.
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Article
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36.88 KB
English
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MYR 0.00
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http://arxiv.org/abs/1509.03389
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