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
Subject:	Anti-exchange closure operator \| choice function \| convex geometry \| path independence \| partial order \| semilattice

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00214289 Published, Mathematical Social Sciences, 2001, 41, 2, 131-150
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010750675