Invariance of Multiattribute Utility Functions under Shift Transformations
✍ Scribed by Ali Abbas; János Aczél; Jacek Chudziak
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 443 KB
- Volume
- 54
- Category
- Article
- ISSN
- 1422-6383
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The construction of a multiattribute utility function is significantly simplified if it is possible to decompose the function into lower‐order utility assessments. When every attribute is utility independent of its complement, we have a powerful property that reduces the functional form
We show that a bounded function \(f\) satisfies \(B f=f\), where \(B\) is the Berezin tranform on the unit disc (defined in (2) below), if and only if \(f\) is harmonic. There is an equivalent formulation of this result [S. Axler and Z. Cučković, Integral Equations Operator Theory 14 (1991), 1-12; W