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).

引用

页码：40 / 55

页数：16

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