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Estimating Production Functions of Multiproduct Firms

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  • Valmari, Nelli

Abstract

Despite the fact that multiproduct firms constitute a considerable share of firms and account for an even greater share of production, virtually all production function estimates are based on the assumption that firms are single-product producers. The single-product assumption is made due to lack of data on input allocation across the various product lines multiproduct firms operate. I provide a method to estimate product-level production functions without observable input allocations. The empirical application and Monte Carlo simulations show that the single-product firm assumption leads to biased parameter and productivity estimates and overestimated productivity differences between firms.

Suggested Citation

  • Valmari, Nelli, 2016. "Estimating Production Functions of Multiproduct Firms," ETLA Working Papers 37, The Research Institute of the Finnish Economy.
  • Handle: RePEc:rif:wpaper:37
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    References listed on IDEAS

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    1. Jan De Loecker & Pinelopi K. Goldberg & Amit K. Khandelwal & Nina Pavcnik, 2016. "Prices, Markups, and Trade Reform," Econometrica, Econometric Society, vol. 84, pages 445-510, March.
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    3. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    4. Amit Gandhi & Salvador Navarro & David Rivers, 2011. "On the Identification of Production Functions: How Heterogeneous is Productivity?," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20119, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
    5. James Levinsohn & Amil Petrin, 2003. "Estimating Production Functions Using Inputs to Control for Unobservables," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 317-341.
    6. Jan De Loecker & Pinelopi K. Goldberg & Amit K. Khandelwal & Nina Pavcnik, 2016. "Prices, Markups, and Trade Reform," Econometrica, Econometric Society, vol. 84, pages 445-510, March.
    7. H. S. Houthakker, 1955. "The Pareto Distribution and the Cobb-Douglas Production Function in Activity Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(1), pages 27-31.
    8. Ackerberg, Daniel & Caves, Kevin & Frazer, Garth, 2006. "Structural identification of production functions," MPRA Paper 38349, University Library of Munich, Germany.
    9. Wooldridge, Jeffrey M., 2009. "On estimating firm-level production functions using proxy variables to control for unobservables," Economics Letters, Elsevier, vol. 104(3), pages 112-114, September.
    10. repec:pri:cepsud:231deloecker is not listed on IDEAS
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    Cited by:

    1. Rodríguez-Castelán, Carlos & López-Calva, Luis Felipe & Barriga-Cabanillas, Oscar, 2023. "Market concentration, trade exposure, and firm productivity in developing countries: Evidence from Mexico," World Development, Elsevier, vol. 165(C).
    2. Emmanuel Dhyne & Amil Petrin & Valerie Smeets & Frederic Warzynski, 2024. "Multiproduct Firms, Import Competition and Productivity," CESifo Working Paper Series 11155, CESifo.
    3. Maican, Florin & Orth, Matilda, 2021. "Entry Regulations and Product Variety in Retail," CEPR Discussion Papers 15992, C.E.P.R. Discussion Papers.
    4. Mertens, Matthias, 2020. "Labor market power and the distorting effects of international trade," International Journal of Industrial Organization, Elsevier, vol. 68(C).
    5. De Loecker, Jan, 2021. "Comment on (Un)pleasant ... by Bond et al (2020)," Journal of Monetary Economics, Elsevier, vol. 121(C), pages 15-18.
    6. Maican, Florin & Orth, Matilda, 2021. "Determinants of economies of scope in retail," International Journal of Industrial Organization, Elsevier, vol. 75(C).
    7. Binlei Gong & Robin C. Sickles, 2021. "Resource allocation in multi-divisional multi-product firms," Journal of Productivity Analysis, Springer, vol. 55(2), pages 47-70, April.
    8. Emir Malikov & Gudbrand Lien, 2021. "Proxy Variable Estimation of Multiproduct Production Functions," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(5), pages 1878-1902, October.
    9. Mertens, Matthias, 2019. "Micro-mechanisms behind declining labour shares: Market power, production processes, and global competition," IWH-CompNet Discussion Papers 3/2019, Halle Institute for Economic Research (IWH).

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    More about this item

    Keywords

    Multiproduct firm; production function; productivity;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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