IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_2679.html
   My bibliography  Save this paper

A Unified Theory of Firm Selection and Growth

Author

Listed:
  • Costas Arkolakis

Abstract

This paper develops a theory of firm selection and growth and embeds it into an international trade framework of balanced growth. I assume that firm-level growth is the result of idiosyncratic productivity improvements while there is continuous arrival of new potential producers. Firms can also pay an increasing market penetration cost to sell more to a given market. The model is consistent with a set of salient regularities of firm and exporter selection and growth, as well as the observed distribution of sales. I calibrate the model parameters that determine firm dynamics by looking at the exit rates of a cohort at the US census and the elasticity of trade in Eaton and Kortum. This elasticity is regulated in the model by the firm-level growth process. The calibrated model can account for almost all the turnover and growth of US census cohorts over two decades. It can also account for a large part of the turnover and growth of Colombian exporters in individual destinations.

Suggested Citation

  • Costas Arkolakis, 2009. "A Unified Theory of Firm Selection and Growth," CESifo Working Paper Series 2679, CESifo.
    • Handle: RePEc:ces:ceswps:_2679
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp2679.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Steven J. Davis & John Haltiwanger & Ron Jarmin & Javier Miranda, 2007. "Volatility and Dispersion in Business Growth Rates: Publicly Traded versus Privately Held Firms," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 107-180, National Bureau of Economic Research, Inc.
    2. Arellano, Cristina & Bai, Yan & Zhang, Jing, 2012. "Firm dynamics and financial development," Journal of Monetary Economics, Elsevier, vol. 59(6), pages 533-549.
    3. John Haltiwanger & Ron S. Jarmin & Javier Miranda, 2010. "Who Creates Jobs? Small vs. Large vs. Young," Working Papers 10-17, Center for Economic Studies, U.S. Census Bureau.
    4. Albornoz, Facundo & Calvo Pardo, Héctor F. & Corcos, Gregory & Ornelas, Emanuel, 2012. "Sequential exporting," Journal of International Economics, Elsevier, vol. 88(1), pages 17-31.
    5. Chen, Natalie & Novy, Dennis, 2008. "International Trade Integration: A Disaggregated Approach," CEPR Discussion Papers 7103, C.E.P.R. Discussion Papers.
    6. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    7. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 691-751, September.
    8. Andrew Atkeson & Ariel Tomás Burstein, 2010. "Innovation, Firm Dynamics, and International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(3), pages 433-484, June.
    9. Pakes, Ariel & Ericson, Richard, 1998. "Empirical Implications of Alternative Models of Firm Dynamics," Journal of Economic Theory, Elsevier, vol. 79(1), pages 1-45, March.
    10. Christian Broda & David E. Weinstein, 2006. "Globalization and the Gains From Variety," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(2), pages 541-585.
    11. Rasmus Lentz & Dale T. Mortensen, 2008. "An Empirical Model of Growth Through Product Innovation," Econometrica, Econometric Society, vol. 76(6), pages 1317-1373, November.
    12. Jonathan Eaton & Samuel Kortum & Francis Kramarz, 2011. "An Anatomy of International Trade: Evidence From French Firms," Econometrica, Econometric Society, vol. 79(5), pages 1453-1498, September.
    13. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    14. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    15. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    16. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1988. "Patterns of Firm Entry and Exit in U.S. Manufacturing Industries," RAND Journal of Economics, The RAND Corporation, vol. 19(4), pages 495-515, Winter.
    17. Evans, David S, 1987. "The Relationship between Firm Growth, Size, and Age: Estimates for 100 Manufacturing Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 567-581, June.
    18. Alessandria, George & Choi, Horag, 2014. "Establishment heterogeneity, exporter dynamics, and the effects of trade liberalization," Journal of International Economics, Elsevier, vol. 94(2), pages 207-223.
    19. Toshihiko Mukoyama & Yoonsoo Lee, 2008. "Entry, Exit, and Plant-level Dynamics over the Business Cycle," 2008 Meeting Papers 454, Society for Economic Dynamics.
    20. Thomas F. Cooley & Vincenzo Quadrini, 2001. "Financial Markets and Firm Dynamics," American Economic Review, American Economic Association, vol. 91(5), pages 1286-1310, December.
    21. Impullitti, Giammario & Irarrazabal, Alfonso A. & Opromolla, Luca David, 2013. "A theory of entry into and exit from export markets," Journal of International Economics, Elsevier, vol. 90(1), pages 75-90.
    22. Luís M B Cabral & José Mata, 2003. "On the Evolution of the Firm Size Distribution: Facts and Theory," American Economic Review, American Economic Association, vol. 93(4), pages 1075-1090, September.
    23. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    24. Costas Arkolakis & Svetlana Demidova & Peter J. Klenow & Andres Rodriguez-Clare, 2008. "Endogenous Variety and the Gains from Trade," American Economic Review, American Economic Association, vol. 98(2), pages 444-450, May.
    25. L. A. N. Amaral & S. V. Buldyrev & S. Havlin & H. Leschhorn & P. Maass & M. A. Salinger & H. E. Stanley & M. H. R. Stanley, 1997. "Scaling behavior in economics: I. Empirical results for company growth," Papers cond-mat/9702082, arXiv.org.
    26. Kim J. Ruhl & Jonathan L. Willis, 2017. "New Exporter Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(3), pages 703-726, August.
    27. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    28. Lucia Foster & John Haltiwanger & Chad Syverson, 2016. "The Slow Growth of New Plants: Learning about Demand?," Economica, London School of Economics and Political Science, vol. 83(329), pages 91-129, January.
    29. Costas Arkolakis & Sharat Ganapati & Marc-Andreas Muendler, 2021. "The Extensive Margin of Exporting Products: A Firm-Level Analysis," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 182-245, October.
    30. Krugman, Paul, 1980. "Scale Economies, Product Differentiation, and the Pattern of Trade," American Economic Review, American Economic Association, vol. 70(5), pages 950-959, December.
    31. Joaquim Oliveira Martins & Stefano Scarpetta & Dirk Pilat, 1996. "Mark-Up Ratios in Manufacturing Industries: Estimates for 14 OECD Countries," OECD Economics Department Working Papers 162, OECD Publishing.
    32. Costas Arkolakis & Arnaud Costinot & Andres Rodriguez-Clare, 2012. "New Trade Models, Same Old Gains?," American Economic Review, American Economic Association, vol. 102(1), pages 94-130, February.
    33. François Gourio & Leena Rudanko, 2014. "Customer Capital," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 1102-1136.
    34. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    35. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    36. Evans, David S, 1987. "Tests of Alternative Theories of Firm Growth," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 657-674, August.
    37. Lukasz A. Drozd & Jaromir B. Nosal, 2012. "Understanding International Prices: Customers as Capital," American Economic Review, American Economic Association, vol. 102(1), pages 364-395, February.
    38. Steven J. Davis & John Haltiwanger & Ronald S. Jarmin & C.J. Krizan & Javier Miranda & Alfred Nucci & Kristin Sandusky, 2009. "Measuring the Dynamics of Young and Small Businesses: Integrating the Employer and Nonemployer Universes," NBER Chapters, in: Producer Dynamics: New Evidence from Micro Data, pages 329-366, National Bureau of Economic Research, Inc.
    39. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    40. Luca David Opromolla & Alfonso A. Irarrazabal, 2009. "The Cross Sectional Dynamics of Heterogenous Trade Models," Working Papers w200924, Banco de Portugal, Economics and Research Department.
    41. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," Post-Print hal-03579844, HAL.
    42. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    43. Tor Jakob Klette & Samuel Kortum, 2004. "Innovating Firms and Aggregate Innovation," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 986-1018, October.
    44. Samuel S. Kortum, 1997. "Research, Patenting, and Technological Change," Econometrica, Econometric Society, vol. 65(6), pages 1389-1420, November.
    45. Davis, Steven J & Haltiwanger, John & Schuh, Scott, 1996. "Small Business and Job Creation: Dissecting the Myth and Reassessing the Facts," Small Business Economics, Springer, vol. 8(4), pages 297-315, August.
    46. repec:nsr:niesrd:77 is not listed on IDEAS
    47. Hopenhayn, Hugo & Rogerson, Richard, 1993. "Job Turnover and Policy Evaluation: A General Equilibrium Analysis," Journal of Political Economy, University of Chicago Press, vol. 101(5), pages 915-938, October.
    48. David Neumark & Brandon Wall & Junfu Zhang, 2011. "Do Small Businesses Create More Jobs? New Evidence for the United States from the National Establishment Time Series," The Review of Economics and Statistics, MIT Press, vol. 93(1), pages 16-29, August.
    49. Theodore Papageorgiou, 2014. "Learning Your Comparative Advantages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 1263-1295.
    50. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    51. Jaap H. Abbring & Jeffrey R. Campbell, 2003. "A Structural Empirical Model of Firm Growth, Learning, and Survival," NBER Working Papers 9712, National Bureau of Economic Research, Inc.
    52. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Establishment Size Dynamics in the Aggregate Economy," American Economic Review, American Economic Association, vol. 97(5), pages 1639-1666, December.
    53. repec:stn:sotoec:1003 is not listed on IDEAS
    54. Costas Arkolakis, 2010. "Market Penetration Costs and the New Consumers Margin in International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1151-1199.
    55. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    56. Timothy Dunne & J. Bradford Jensen & Mark J. Roberts, 2009. "Producer Dynamics: New Evidence from Micro Data," NBER Books, National Bureau of Economic Research, Inc, number dunn05-1, March.
    57. Richard E. Caves, 1998. "Industrial Organization and New Findings on the Turnover and Mobility of Firms," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 1947-1982, December.
    58. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    59. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    60. Hart, Peter E & Oulton, Nicholas, 1996. "Growth and Size of Firms," Economic Journal, Royal Economic Society, vol. 106(438), pages 1242-1252, September.
    61. William J. Reed, 2002. "On the Rank‐Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17, February.
    62. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, March.
    63. Claudio Labanca & Danielken Molina & Marc-Andreas Muendler, 2013. "Preparing to Export," NBER Working Papers 18962, National Bureau of Economic Research, Inc.
    64. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
    Full references (including those not matched with items on IDEAS)

    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. Nicolas Berman & Vincent Rebeyrol & Vincent Vicard, 2019. "Demand Learning and Firm Dynamics: Evidence from Exporters," The Review of Economics and Statistics, MIT Press, vol. 101(1), pages 91-106, March.
    2. Erzo G.J. Luttmer, 2010. "Models of Growth and Firm Heterogeneity," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 547-576, September.
    3. Melitz, Marc J. & Redding, Stephen J., 2014. "Heterogeneous Firms and Trade," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 1-54, Elsevier.
    4. Till Gross & Stephane Verani, 2012. "Financing Constraints, Firm Dynamics, and International Trade," 2012 Meeting Papers 1035, Society for Economic Dynamics.
    5. Costas Arkolakis, 2010. "Market Penetration Costs and the New Consumers Margin in International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1151-1199.
    6. Costas Arkolakis & Arnaud Costinot & Andres Rodriguez-Clare, 2012. "New Trade Models, Same Old Gains?," American Economic Review, American Economic Association, vol. 102(1), pages 94-130, February.
    7. Costas Arkolakis & Theodore Papageorgiou & Olga Timoshenko, 2018. "Firm Learning and Growth," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 27, pages 146-168, January.
    8. Esposito, Federico, 2022. "Demand risk and diversification through international trade," Journal of International Economics, Elsevier, vol. 135(C).
    9. Paulo Bastos & Daniel A. Dias & Olga A. Timoshenko, 2018. "Learning, prices and firm dynamics," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(4), pages 1257-1311, November.
    10. Costinot, Arnaud & Rodríguez-Clare, Andrés, 2014. "Trade Theory with Numbers: Quantifying the Consequences of Globalization," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 197-261, Elsevier.
    11. Brendan Epstein & Alan Finkelstein Shapiro & Andres Gonzalez Gomez, 2017. "Financial Disruptions and the Cyclical Upgrading of Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 204-224, October.
    12. di Giovanni, Julian & Levchenko, Andrei A., 2013. "Firm entry, trade, and welfare in Zipf's world," Journal of International Economics, Elsevier, vol. 89(2), pages 283-296.
    13. Khan, Shafaat Yar & Khederlarian, Armen, 2021. "How does trade respond to anticipated tariff changes? Evidence from NAFTA," Journal of International Economics, Elsevier, vol. 133(C).
    14. 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.
    15. Andrew Atkeson & Ariel Tomás Burstein, 2010. "Innovation, Firm Dynamics, and International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(3), pages 433-484, June.
    16. Erzo G. J. Luttmer, 2011. "On the Mechanics of Firm Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 1042-1068.
    17. Alessandria, George & Choi, Horag, 2014. "Establishment heterogeneity, exporter dynamics, and the effects of trade liberalization," Journal of International Economics, Elsevier, vol. 94(2), pages 207-223.
    18. Impullitti, Giammario & Irarrazabal, Alfonso A. & Opromolla, Luca David, 2013. "A theory of entry into and exit from export markets," Journal of International Economics, Elsevier, vol. 90(1), pages 75-90.
    19. Esposito, Federico, 2019. "Demand Risk and Diversification through Trade," MPRA Paper 99875, University Library of Munich, Germany.
    20. Şeker, Murat, 2012. "A structural model of firm and industry evolution: Evidence from Chile," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 891-913.

    More about this item

    JEL classification:

    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General

    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:ces:ceswps:_2679. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    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.