α-maxmin solutions to fair division problems and the structure of the set of Pareto utility profiles
Author
Hüsseinov, F.
Date
2009Source Title
Mathematical Social Sciences
Print ISSN
0165-4896
Publisher
Elsevier B.V.
Volume
57
Issue
2
Pages
279 - 281
Language
English
Type
ArticleItem Usage Stats
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Abstract
A simple proof of the equivalence of Pareto optimality plus positiveness and α-maxmin optimality, dispensing with the assumption of closedness of the utility possibility set, is given. Also the structure of the set of Pareto optimal utility profiles is studied. © 2008 Elsevier B.V. All rights reserved.
Keywords
α-equitabilityα-maxmin optimality
Fair division
Non-atomic probability space
Pareto optimality