The duality between the anti-exchange closure operators and the path independent choice operators on a finite set,

In this paper, we show that the correspondence discovered by Koshevoy ([18]) and Johnson and Dean ([15],[16]) between anti-exchange closure operators and path independent choice operators is a duality between two semilattices of such operators. Then we use this duality to obtain results concerning the "ordinal" representations of path independent choice functions from the theory of anti-exchange closure operators.

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Year of publication:	2001
Authors:	Monjardet, Bernard ; Vololonirina, Raderanirina
Institutions:	HAL

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Extent:	application/pdf
Series:	Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers).
Type of publication:	Book / Working Paper
Language:	English
Notes:	View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00214289
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008794928