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-maxmin solutions to fair division problems and the structure of the set of Pareto utility profiles

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2009 Turkey English Publisher:Elsevier BVJournal:Mathematical Social Sciences, volume 57, pages 279-281 (issn: 0165-4896, Copyright policy )
Authors: Hüsseinov F.;

doi: 10.1016/j.mathsocsci.2008.11.003

handle: 11693/11671 , 11693/22812

-maxmin solutions to fair division problems and the structure of the set of Pareto utility profiles

Abstract

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.

Country
Turkey
Related Organizations
Keywords

Pareto optimality, Fair Division, Non-atomic Probability Space, Alpha-maxmin Optimality, Non-atomic probability space, Fair division, α-equitability, Pareto Optimality, α-maxmin optimality, Alpha-equitability, Alpha-maxmin optimality

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
bronze