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: D51 D61 (search for similar items in EconPapers)
Pages: 26 pages
Date: 2000
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Related works:
Journal Article: 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 (2001)
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)
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Persistent link: https://EconPapers.repec.org/RePEc:fth:pariem:2000.121

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