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

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Author Info
Monjardet, B.
Raderanirina, V.

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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.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Papiers d'Economie Mathématique et Applications with number 1999-68.

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Length: 23 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:pariem:1999-68

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Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Web page: http://cermsem.univ-paris1.fr/
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Related research
Keywords: MATHEMATICAL ANALYSIS ; CHOICE OF PRODUCTS;

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Find related papers by JEL classification:
E65 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Studies of Particular Policy Episodes
F01 - International Economics - - General - - - Global Outlook

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  1. Bernard Monjardet, 2007. "Some order dualities in logic, games and choices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00202326_v1, HAL. [Downloadable!]
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