IDEAS home Printed from https://ideas.repec.org/a/oup/restud/v90y2023i6p3315-3342..html
   My bibliography  Save this article

Estimating Production Functions of Multiproduct Firms

Author

Listed:
  • Nelli Valmari

Abstract

Multiproduct firms constitute a considerable share of firms and account for an even greater share of production. Nevertheless, the vast majority of production function estimates are based on the assumption that firms are single-product manufacturers. This assumption is due to a lack of data on how firms allocate their inputs across their various product lines. I provide a strategy for estimating product-specific input allocations and production functions of multiproduct firms involved in monopolistic competition. The strategy is based on using firms’ product prices and output demand in solving for product-level input allocations.

Suggested Citation

  • Nelli Valmari, 2023. "Estimating Production Functions of Multiproduct Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(6), pages 3315-3342.
    • Handle: RePEc:oup:restud:v:90:y:2023:i:6:p:3315-3342.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/restud/rdad005
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or

    for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jan De Loecker, 2011. "Product Differentiation, Multiproduct Firms, and Estimating the Impact of Trade Liberalization on Productivity," Econometrica, Econometric Society, vol. 79(5), pages 1407-1451, September.
    2. 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.
    3. Lisandra Flach & Michael Irlacher, 2018. "Product versus Process: Innovation Strategies of Multiproduct Firms," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 236-277, February.
    4. Paul L. E. Grieco & Shengyu Li & Hongsong Zhang, 2016. "Production Function Estimation With Unobserved Input Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 665-690, May.
    5. Andrew B. Bernard & J. Bradford Jensen & Stephen J. Redding & Peter K. Schott, 2007. "Firms in International Trade," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 105-130, Summer.
    6. Paul L. E. Grieco & Shengyu Li & Hongsong Zhang, 2016. "Production Function Estimation With Unobserved Input Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(2), pages 665-690, May.
    7. 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.
    8. 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).
    9. 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.
    10. 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.
    11. 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.
    12. Ackerberg, Daniel & Caves, Kevin & Frazer, Garth, 2006. "Structural identification of production functions," MPRA Paper 38349, University Library of Munich, Germany.
    13. 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.
    14. repec:pri:cepsud:231deloecker is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Jaan Masso & Amaresh K Tiwari, 2024. "Estimating Production Function And Productivity Impact Of Export Persistence In Presence Of Market Imperfections," University of Tartu - Faculty of Economics and Business Administration Working Paper Series 150, Faculty of Economics and Business Administration, University of Tartu (Estonia).
    9. Germán Bet, 2024. "The Productivity Effects Of Corporate Diversification," Journal of Industrial Economics, Wiley Blackwell, vol. 72(2), pages 685-728, June.
    10. 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.
    11. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kasahara, Hiroyuki & Liang, Yawen & Rodrigue, Joel, 2016. "Does importing intermediates increase the demand for skilled workers? Plant-level evidence from Indonesia," Journal of International Economics, Elsevier, vol. 102(C), pages 242-261.
    2. Kritikos, Alexander S. & Schiersch, Alexander & Stiel, Caroline, 2021. "The Productivity Puzzle in Business Services," IZA Discussion Papers 14610, Institute of Labor Economics (IZA).
    3. Cassiman, Bruno & ,, 2013. "Profiting from Innovation: Firm Level Evidence on Markups," CEPR Discussion Papers 9703, C.E.P.R. Discussion Papers.
    4. Gornig, Martin & Schiersch, Alexander, 2019. "Agglomeration economies and firm TFP: different effects across industries," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203597, Verein für Socialpolitik / German Economic Association.
    5. Smeets, Valerie & Warzynski, Frederic, 2013. "Estimating productivity with multi-product firms, pricing heterogeneity and the role of international trade," Journal of International Economics, Elsevier, vol. 90(2), pages 237-244.
    6. Alexander S. Kritikos & Alexander Schiersch & Caroline Stiel, 2022. "The productivity shock in business services," Small Business Economics, Springer, vol. 59(3), pages 1273-1299, October.
    7. Emmanuel Dhyne & Amil Petrin & Valerie Smeets & Frederic Warzynski, 2014. "Import competition, productivity and multi-product firms," Working Paper Research 268, National Bank of Belgium.
    8. Emir Malikov & Shunan Zhao & Jingfang Zhang, 2024. "A System Approach to Structural Identification of Production Functions with Multi-Dimensional Productivity," Advances in Econometrics, in: Essays in Honor of Subal Kumbhakar, volume 46, pages 211-263, Emerald Group Publishing Limited.
    9. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Cédric Duprez & Glenn Magerman & Marijn Verschelde, 2021. "Structural Identification of Productivity under Biased Technological Change∗," Working Papers ECARES 2021-28, ULB -- Universite Libre de Bruxelles.
    10. Geoffrey Barrows & Hélène Ollivier & Ariell Reshef, 2023. "Production Function Estimation with Multi-Destination Firms," CESifo Working Paper Series 10716, CESifo.
    11. Amoroso, S., 2013. "Heterogeneity of innovative, collaborative, and productive firm-level processes," Other publications TiSEM f5784a49-7053-401d-855d-1, Tilburg University, School of Economics and Management.
    12. Sara L. McGaughey & Pascalis Raimondos & Lisbeth La Cour, 2018. "What is a Foreign Firm? Implications for Productivity Spillovers," CESifo Working Paper Series 7109, CESifo.
    13. Victor Aguirregabiria & Margaret Slade, 2017. "Empirical models of firms and industries," Canadian Journal of Economics, Canadian Economics Association, vol. 50(5), pages 1445-1488, December.
    14. Alvaro Garcia-Marin & Nico Voigtländer, 2019. "Exporting and Plant-Level Efficiency Gains: It's in the Measure," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1777-1825.
    15. Andrea Pozzi & Fabiano Schivardi, 2016. "Demand or productivity: what determines firm growth?," RAND Journal of Economics, RAND Corporation, vol. 47(3), pages 608-630, August.
    16. Laura Alfaro & Maggie X. Chen, 2013. "Market Reallocation and Knowledge Spillover: The Gains from Multinational Production," Working Papers 2013-13, The George Washington University, Institute for International Economic Policy.
    17. Carlos D Santos & Luís F Costa & Paulo B Brito, 2022. "Demand, Supply and Markup Fluctuations," The Economic Journal, Royal Economic Society, vol. 132(644), pages 1620-1645.
    18. Mary Amiti & Oleg Itskhoki & Jozef Konings, 2014. "Importers, Exporters, and Exchange Rate Disconnect," American Economic Review, American Economic Association, vol. 104(7), pages 1942-1978, July.
    19. Maican, Florin & Orth, Matilda, 2015. "A dynamic analysis of entry regulations and productivity in retail trade," International Journal of Industrial Organization, Elsevier, vol. 40(C), pages 67-80.
    20. Zhang, Hongsong, 2019. "Non-neutral technology, firm heterogeneity, and labor demand," Journal of Development Economics, Elsevier, vol. 140(C), pages 145-168.

    More about this item

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:oup:restud:v:90:y:2023:i:6:p:3315-3342.. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Oxford University Press (email available below). General contact details of provider: https://academic.oup.com/restud .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.