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：
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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.
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页码：1 / 13
页数：12
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