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 (1999) and, Johnson and Dean (1998) 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 old and new results concerning the "ordinal" representations of choice functions from the theory of anti-exchange closure operators.

Keywords: MATHEMATICAL ANALYSIS; CHOICE OF PRODUCTS (search for similar items in EconPapers)
JEL-codes: E65 F01 (search for similar items in EconPapers)
Pages: 23 pages
Date: 1999
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Citations: View citations in EconPapers (6)

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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 (2000)
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Persistent link: https://EconPapers.repec.org/RePEc:fth:pariem:1999-68

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