The duality between the anti-exchange closure operators and the path independent choice operators on a finite set

被引：29

作者：

Monjardet, B ^{[1
]}

Raderanirina, V ^{[1
]}

机构：

[1] Univ Paris 01, CERMSEM, F-75647 Paris 13, France

来源：

MATHEMATICAL SOCIAL SCIENCES | 2001年 / 41卷 / 02期

关键词：

anti-exchange closure operator; choice function; convex geometry; path independence; partial order; semilattice;

D O I：

10.1016/S0165-4896(00)00061-5

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this paper, we show that the correspondence discovered by Koshevoy [Math. Soc. Sci. 38 (1999) 35] and Johnson and Dean [An algebraic characterization of path independent choice functions, Third International Meeting of the Society for Social Choice and Welfare, Maastricht, The Netherlands, 1996; Locally complete path independent choice functions and their lattices. Preprint, 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 results concerning the 'ordinal' representations of path independent choice functions from the theory of anti-exchange closure operators. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：131 / 150

页数：20