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Minimal covering set solutions
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Lombardi, M. (Michele) (2009) Minimal covering set solutions. Social Choice and Welfare, Vol.32 (No.4). pp. 687-695. doi:10.1007/s00355-008-0361-5 ISSN 0176-1714.
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Official URL: http://dx.doi.org/10.1007/s00355-008-0361-5
Abstract
We study necessary and sufficient conditions for a multi-valued solution S to be rationalized in the following sense: there exists a complete asymmetric relation T (a tournament) such that, for each feasible (finite) set, the solution set of S coincides with the minimal covering set of T restricted to that feasible set. Our characterization result relies only on properties relating S across feasible choice sets.
Item Type: | Journal Article | ||||
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Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
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Divisions: | Faculty of Social Sciences > Economics | ||||
Library of Congress Subject Headings (LCSH): | Social choice -- Mathematical models, Choice (Psychology) -- Mathematical models, Set theory, Economics, Mathematical | ||||
Journal or Publication Title: | Social Choice and Welfare | ||||
Publisher: | Springer | ||||
ISSN: | 0176-1714 | ||||
Official Date: | May 2009 | ||||
Dates: |
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Volume: | Vol.32 | ||||
Number: | No.4 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 687-695 | ||||
DOI: | 10.1007/s00355-008-0361-5 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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