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Aggregating Distortions in Networks with Multi-Product Firms

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  • Yasutaka Koike-Mori
  • Antonio Martner

Abstract

We investigate the role of multi-product firms in shaping resource misallocation within production networks and its impact on aggregate total factor productivity (TFP) growth. Using administrative data on product transactions between all the for-mal Chilean firms, we provide evidence that demand shocks to one product affect the production of other products within the same firm, suggesting firms engage in joint production. We develop a framework to measure resource misallocation in production networks with joint production, deriving non-parametric sufficient statistics to quantify these effects. Applying the framework to Chile, we find that reallocation effects, considering joint production, explain 86% of observed aggregate TFP growth for the 2016-2022 period. Ignoring joint production leads to overestimating resource misallocation.

Suggested Citation

  • Yasutaka Koike-Mori & Antonio Martner, 2024. "Aggregating Distortions in Networks with Multi-Product Firms," Working Papers Central Bank of Chile 1022, Central Bank of Chile.
    • Handle: RePEc:chb:bcchwp:1022
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    References listed on IDEAS

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    1. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
    2. Thierry Mayer & Marc J. Melitz & Gianmarco I. P. Ottaviano, 2021. "Product Mix and Firm Productivity Responses to Trade Competition," The Review of Economics and Statistics, MIT Press, vol. 103(5), pages 874-891, December.
    3. Ariel Burstein & Javier Cravino & Marco Rojas, 2024. "Input Price Dispersion Across Buyers and Misallocation," NBER Working Papers 33128, National Bureau of Economic Research, Inc.
    4. Xiwen Bai & Jesús Fernández-Villaverde & Yiliang Li & Francesco Zanetti, 2024. "The Causal Effects of Global Supply Chain Disruptions on Macroeconomic Outcomes: Evidence and Theory," Economics Series Working Papers 1033, University of Oxford, Department of Economics.
    5. Charles R. Hulten, 1978. "Growth Accounting with Intermediate Inputs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 511-518.
    6. Miguel Almunia & Pol Antràs & David Lopez-Rodriguez & Eduardo Morales, 2021. "Venting Out: Exports during a Domestic Slump," American Economic Review, American Economic Association, vol. 111(11), pages 3611-3662, November.
    7. Hall, Robert E, 1973. "The Specification of Technology with Several Kinds of Output," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 878-892, July-Aug..
    8. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-289, August.
    9. Amil Petrin & James Levinsohn, 2012. "Measuring aggregate productivity growth using plant-level data," RAND Journal of Economics, RAND Corporation, vol. 43(4), pages 705-725, December.
    10. Saki Bigio & Jennifer La’O, 2020. "Distortions in Production Networks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(4), pages 2187-2253.
    11. Paul Carrillo & Dave Donaldson & Dina Pomeranz & Monica Singhal, 2023. "Misallocation in Firm Production: A Nonparametric Analysis Using Procurement Lotteries," NBER Working Papers 31311, National Bureau of Economic Research, Inc.
    12. Basu, Susanto & Fernald, John G., 2002. "Aggregate productivity and aggregate technology," European Economic Review, Elsevier, vol. 46(6), pages 963-991, June.
    13. Hall, Robert E, 1988. "The Relation between Price and Marginal Cost in U.S. Industry," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 921-947, October.
    14. Xiang Ding, 2023. "Industry Linkages from Joint Production," Working Papers gueconwpa~23-23-02, Georgetown University, Department of Economics.
    15. Chang-Tai Hsieh & Peter J. Klenow, 2009. "Misallocation and Manufacturing TFP in China and India," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(4), pages 1403-1448.
    16. Johannes Boehm & Swati Dhingra & John Morrow, 2022. "The Comparative Advantage of Firms," Journal of Political Economy, University of Chicago Press, vol. 130(12), pages 3025-3100.
    17. Colin J. Hottman & Stephen J. Redding & David E. Weinstein, 2016. "Quantifying the Sources of Firm Heterogeneity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1291-1364.
    18. Andrew B. Bernard & Stephen J. Redding & Peter K. Schott, 2010. "Multiple-Product Firms and Product Switching," American Economic Review, American Economic Association, vol. 100(1), pages 70-97, March.
    19. Diewert, W. E., 1973. "Functional forms for profit and transformation functions," Journal of Economic Theory, Elsevier, vol. 6(3), pages 284-316, June.
    20. Sophie Osotimehin & Latchezar Popov, 2023. "Misallocation and Intersectoral linkages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 177-198, December.
    21. David Rezza Baqaee & Emmanuel Farhi, 2020. "Productivity and Misallocation in General Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 105-163.
    22. Daniel A. Ackerberg & Kevin Caves & Garth Frazer, 2015. "Identification Properties of Recent Production Function Estimators," Econometrica, Econometric Society, vol. 83, pages 2411-2451, November.
    23. Emmanuel Dhyne & Amil Petrin & Valerie Smeets & Frederic Warzynski, 2022. "Theory for Extending Single-Product Production Function Estimation to Multi-Product Settings," NBER Working Papers 30784, National Bureau of Economic Research, Inc.
    24. Xiang Ding, 2023. "Industry Linkages from Joint Production," Working Papers 23-02, Center for Economic Studies, U.S. Census Bureau.
    25. Xavier Giroud & Holger M. Mueller, 2019. "Firms' Internal Networks and Local Economic Shocks," American Economic Review, American Economic Association, vol. 109(10), pages 3617-3649, October.
    26. Jan De Loecker & Frederic Warzynski, 2012. "Markups and Firm-Level Export Status," American Economic Review, American Economic Association, vol. 102(6), pages 2437-2471, October.
    27. Andrew B. Bernard & Stephen J. Redding & Peter K. Schott, 2011. "Multiproduct Firms and Trade Liberalization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(3), pages 1271-1318.
    28. Diego Restuccia & Richard Rogerson, 2008. "Policy Distortions and Aggregate Productivity with Heterogeneous Plants," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 707-720, October.
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