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On the Non-Identification of Revenue Production Functions

David Van Dijcke

arXiv 9 Dec 2022 · Econometrics

arXiv:2212.04620 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Production functions are potentially misspecified when revenue is used as a proxy for output. I formalize and strengthen this common knowledge by showing that neither the production function nor Hicks-neutral productivity can be identified with such a revenue proxy. This result obtains when relaxing the standard assumptions used in the literature to allow for imperfect competition. It holds for a large class of production functions, including all commonly used parametric forms. Among the prevalent approaches to address this issue, only those that impose assumptions on the underlying demand system can possibly identify the production function.

Citation extraction

43
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appendix boundary found by appendix_command · 78% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Mert Demirer (2022) Production function estimation with factor-augmenting technology: An application to markups1.00093100%
2Jan De Loecker, Pinelopi K Goldberg, Amit K Khandelwal, and Nina Pav… (2016) Prices, markups, and trade reform1.00073100%
3Emmanuel Dhyne, Amil Petrin, Valerie Smeets, and Frederic Warzynski (2020) Theory for extending single-product production function estimation to multi-product settings1.00063100%
4Daniel A Ackerberg, Kevin Caves, and Garth Frazer (2015) Identification properties of recent production function estimators1.00053100%
5Jan De Loecker (2021) Comment on (Un) pleasant... by Bond et al (2020)0.92843100%
6Amit Gandhi, Salvador Navarro, and David A Rivers (2020) On the identification of gross output production functions0.87492100%
7Jan De Loecker (2011) Product differentiation, multiproduct firms, and estimating the impact of trade liberalization on productivity0.87462100%
8Scott Orr (2022) Within-firm productivity dispersion: Estimates and implications0.87452100%
9Robert G Chambers (1988) Applied production analysis: a dual approach0.7946350%
10Daniel McFadden (1978) Cost, revenue, and profit functions0.7373367%

Showing the top 10 of 47 scored citations.