A Remark on Admissible Transformations for Interpersonally Comparable Utilities
刻画了在个体效用序数可测且人际可比时,效用剖面的允许变换集合,并讨论了个体效用函数像集假设对结果的影响。
In this paper, we provide a characterization of the set of admissible transformations of utility profiles, if it is assumed that the individual utilities are ordinally measurable and interpersonally comparable. Whereas earlier contributions (implicitly) assume that all individual utility functions have the same image, our result applies to arbitrary utility profiles. Furthermore, we discuss an example that demonstrates the sensitivity of some results in this area with respect to the assumptions that are made concerning the images of the individual utility functions.