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Continuity properties of preference relations

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Mar 2008 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 54, pages 454-459 (issn: 0942-5616, eissn: 1521-3870, Copyright policy )
Authors: Marian Alexandru Baroni; Douglas S. Bridges;

doi: 10.1002/malq.200710059 , 10.1016/j.entcs.2008.03.004

Continuity properties of preference relations

Abstract

AbstractVarious types of continuity for preference relations on a metric space are examined constructively. In particular, necessary and sufficient conditions are given for an order‐dense, strongly extensional preference relation on a complete metric space to be continuous. It is also shown, in the spirit of constructive reverse mathematics, that the continuity of sequentially continuous, order‐dense preference relations on complete, separable metric spaces is connected to Ishihara's principleBD‐ℕ, and therefore is not provable within Bishop‐style constructive mathematics alone. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Keywords

Compactness, Heine-Borel property, uniform continuity theorem, Individual preferences, continuity, Theoretical Computer Science, anti-Specker property, preference relation, constructive reverse mathematics, Constructive and recursive analysis, Computer Science(all)

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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!
5
Average
Average
Average
gold