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Applied Mathematics
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Revealed Cores: Characterizations and Structure

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2015 Italy Publisher:Scientific Research Publishing, Inc.Journal:Applied Mathematics, volume 6, pages 2,279-2,291 (issn: 2152-7385, eissn: 2152-7393, Copyright policy )
Authors: VANNUCCI, STEFANO;

doi: 10.4236/am.2015.614200

handle: 11365/983722

Revealed Cores: Characterizations and Structure

Abstract

Characterizations of the classes of all choice functions that select the cores or the externally stable cores induced by an underlying revealed dominance digraph are provided. Relying on such characterizations, the basic order-theoretic structure of the corresponding sets of revealed cores is also analyzed. In particular, it is shown that the poset of all revealed cores ordered by set inclusion is a median meet semilattice: therefore, any profile of revealed cores may be aggregated by means of the simple majority rule.

Country
Italy
Related Organizations
Keywords

Core, choice functions, dominance digraphs, revealed preference, Choice function, Core, Dominance Digraphs, Core, Choice function, Dominance Digraphs, Revealed Preference, Revealed Preference, jel: jel:C70, jel: jel:C71, jel: jel:D01, jel: jel:D03

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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
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gold