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.
Production Theory: Accounting for Firm Heterogeneity and Technical Change
Dosi, Giovanni
;Grazzi, Marco;Marengo, Luigi;Settepanella, Simona
2016-01-01
Abstract
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.File | Dimensione | Formato | |
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