The Existence of Input and Output Aggregates in Aggregate Production Functions
给出了在一般技术假设下有效分配商品可加总的充要条件,并提出了一个关于有效和任意分配商品总量存在性的一般定理,阐明了效率在总量存在性中的作用。
In this paper, we make two contributions to the literature on aggregating inputs and outputs in economy production functions. First, we present necessary and sufficient conditions for aggregating efficiently allocated goods under general assumptions on the technology. Second, we present a general theorem on the conditions for the existence of aggregates of both efficiently allocated goods and arbitrarily allocated goods. We use this theorem to elucidate the role of efficiency in determining the existence of aggregates.