Invariance of Multiattribute Utility Functions under Shift Transformations

被引：0

作者：

Ali Abbas

János Aczél

Jacek Chudziak

机构：

[1] University of Illinois at Urbana-Champaign,Industrial and Enterprise Systems Engineering

[2] University of Waterloo,Department of Pure Mathematics

[3] University of Rzeszów,Department of Mathematics

来源：

Results in Mathematics | 2009年 / 54卷

关键词：

Primary 39B22; Secondary 91B16; Invariance; multiattribute utility; utility functions; functional equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present the general solutions, continuous at a point, of some functional equations on open subsets of the n-dimensional real space, originating from invariance of n-attribute utility functions under shift transformations. The utility functions are assumed to be nonconstant. We discuss invariance (i) on all attributes; (ii) on a proper subset of the attributes, and (iii) invariance with identical values of the shift parameters.

引用

页码：1 / 13

页数：12

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