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:	2000
Authors:	Monjardet, B. ; Raderanirina, V.
Institutions:	Centre de recherche de mathématiques et économie mathématique (CERMSEM), Centre d'Économie de la Sorbonne
Subject:	ANTI-EXCHANGE \| CHOICE FUNCTION \| PARETO

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Series:	Papiers d'Economie Mathématique et Applications.
Type of publication:	Book / Working Paper
Notes:	26 pages
Classification:	D61 - Allocative Efficiency; Cost-Benefit Analysis ; D51 - Exchange and Production Economies
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005663602