A simple axiomatization of binary rank-dependent utility of gains (losses)

被引：13
|
作者：
Marley, AAJ [1 ]
机构：
[1] Univ Calif Irvine, Dept Cognit Sci, Irvine, CA 92697 USA
[2] McGill Univ, Montreal, PQ H3A 2T5, Canada
来源：
JOURNAL OF MATHEMATICAL PSYCHOLOGY | 2002年 / 46卷 / 01期
基金：
美国国家科学基金会;
关键词：
rank-dependent utility; event commutativity; gains partition;
D O I：
10.1006/jmps.2001.1374
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For binary gambles composed only of gains (losses) relative to a status quo, the rank-dependent utility model with a representation that is dense in intervals is shown to be equivalent to ten elementary properties plus event commutativity and a gamble partition assumption. The proof reduces to a (difficult) functional equation that has been solved by Aczel, Maksa, and Pales (in press). (C) 2001 Elsevier Science (USA).
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页码：40 / 55
页数：16
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