Production Theory: Accounting for Firm Heterogeneity and Technical Change
提出一个新框架,通过向量企业构成的区域体积衡量企业间异质性,并利用区域主对角线与坐标轴的夹角度量生产率变化的方向和速度,无需传统生产理论的诸多假设。
The paper presents a new framework to assess firm level heterogeneity and to study the rate and direction of technical change. Building on the analysis of revealed short‐run production functions by Hildenbrand ( ), we propose the (normalized) volume of the zonotope composed by vectors‐firms as indicator of inter‐firm heterogeneity. Moreover, the angles that the zonotope's main diagonal form with the axes provide a measure of the rates and directions of productivity change. The proposed framework also accounts for n‐inputs and m‐outputs and, crucially, the measures of heterogeneity and technical change do not require many of the standard assumptions from production theory.