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Multi-Attribute Proportional Representation

Lang, Jérôme; Skowron, Piotr (2016), Multi-Attribute Proportional Representation, in Schuurmans, Dale; Wellman, Michael, Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence (AAAI 2016), AAAI Press : Palo Alto (USA), p. 530-536

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Type
Communication / Conférence
Date
2016
Conference title
30th AAAI Conference on Artificial Intelligence (AAAI 2016)
Conference date
2016-02
Conference city
Phoenix, Arizona
Conference country
United States
Book title
Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence (AAAI 2016)
Book author
Schuurmans, Dale; Wellman, Michael
Publisher
AAAI Press
Published in
Palo Alto (USA)
ISBN
978-1-57735-760-5
Number of pages
4406
Pages
530-536
Metadata
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Author(s)
Lang, Jérôme
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Skowron, Piotr
Oxford University
Abstract (EN)
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 fit. 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 boils down to the apportionment problem for party-list proportional representation systems (in such case the value of the single attribute is the political affiliation of a candidate). We study some properties of the associated subset selection rules, and address their computation.
Subjects / Keywords
social choice; proportional representation; apportionment; approximation

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