Continuous extensions of an order on a set to the power set
成果类型：
Article
署名作者：
Nehring, K; Puppe, C
署名单位：
University of Vienna
刊物名称：
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN：
0022-0531
DOI：
10.1006/jeth.1996.0026
发表日期：
1996
页码：
456-479
关键词：
摘要：
The paper addresses the problem of extending an order on a set to a ranking of its subsets based on principles of independence and continuity. The central result is a characterization of rankings that depend on the maximal and minimal element only. The independence condition used in this result is contrasted with a stronger independence condition prevalent in the literature on complete ignorance problems in decision making under uncertainty and-under a different interpretation-also in the literature on ''freedom of choice.'' We identify the additional restrictions implied by the stronger independence condition and obtain a simple characterization of the class of all complete and continuous rankings satisfying this condition. A series of corollaries reformulates in our continuous setting some of the main results in the literature, clarifying, in particular, the nature of the major impossibility result due to Kannai and Peleg. (C) 1996 Academic Press, Inc.