The Duality Between the Anti-Exchange Closure Operators and the Path Independent Choice Operators on a Finite Set

Bernard Monjardet () and V. Raderanirina

Papiers d'Economie Mathématique et Applications from Université Panthéon-Sorbonne (Paris 1)

Abstract: 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.

Keywords: ANTI-EXCHANGE; CHOICE FUNCTION; PARETO (search for similar items in EconPapers)
JEL-codes: D61 D51 (search for similar items in EconPapers)
Date: 2000

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Working Paper: The duality between the anti-exchange closure operators and the path independent choice operators on a finite set (2001)
Working Paper: The Duality Between the Anti-Exchange Closure Operators and the Path Independent Choice Operators on a Finite Set (1999)
Journal Article: The duality between the anti-exchange closure operators and the path independent choice operators on a finite set (2001)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:fth:pariem:2000.121

Access Statistics for this paper

More papers in Papiers d'Economie Mathématique et Applications from Université Panthéon-Sorbonne (Paris 1)
Address: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Contact information at EDIRC.
Series data maintained by Thomas Krichel ().