Continuity properties of preference relations

被引：4
|
作者：
Baroni, Marian A. [1 ]
Bridges, Douglas S. [1 ]
机构：
[1] Univ Canterbury, Dept Math & Stat, Christchurch 1, New Zealand
来源：
MATHEMATICAL LOGIC QUARTERLY | 2008年 / 54卷 / 05期
关键词：
Constructive reverse mathematics; preference relation; continuity;
D O I：
10.1002/malq.200710059
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Various types of continuity for preference relations on a metric space are examined constructively. In particular, necessary and sufficient Conditions are given for in order-dense, strongly extensional preference relation on a complete metric space to be continuous. It is also shown, in the spirit of constructive reverse mathematics, that the continuity of sequentially continuous, order-dense preference relations on complete. separable metric spaces is connected to Ishihara's principle BD-N, and therefore is not provable within Bishop-style constructive mathematics alone. (C) WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：454 / 459
页数：6
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