THE CONJUNCTION OF DIRECT AND INDIRECT SEPARABILITY
成果类型：
Note
署名作者：
BLACKORBY, C; RUSSELL, RR
署名单位：
University of California System; University of California Riverside
刊物名称：
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN：
0022-0531
DOI：
10.1006/jeth.1994.1027
发表日期：
1994
页码：
480-498
关键词：
摘要：
This note extends Haque's [J. Econ. Theory 25 (1981), 237-254] paper by (1) providing a closed-form characterisation of the conjunction of direct and indirect separability (and hence a closed-form characterisation of functions that are ''r-conditionally homogeneous of degree zero''), (2) characterising this separability condition in terms of the expenditure and distance functions as well as the direct and indirect utility functions, and (3) showing that Haque's partitioning of the commodity space into R + 1 subsets, where R is the number of separable sectors, such that at most one sector is non-homothetically separable in each region, simplifies to a binary partition if the commodity space is a product space.