IDEAS home Printed from https://ideas.repec.org/a/the/publsh/4152.html
   My bibliography  Save this article

Innovation, firm size distribution, and gains from trade

Author

Listed:
  • Chen, Yi-Fan

    (National University of Kaohsiung)

  • Hsu, Wen-Tai

    (Institute of Economics, Academia Sinica)

  • Peng, Shin-Kun

    (Institute of Economics, Academia Sinica)

Abstract

Power laws in productivity and firm size are well-documented empirical regularities. As they are upper right-tail phenomena, this paper shows that assuming asymptotic power functions for various model primitives (such as demand and firm heterogeneity) are sufficient for matching these regularities. This greatly relaxes the functional-form restrictions in economic modeling and can be beneficial in certain contexts. We demonstrate this in a modified Melitz (2003) model which embeds an innovation mechanism in order to endogenize the productivity distribution and generate both of the above-mentioned power laws. We also investigate the model's welfare implications with regard to innovation by conducting a quantitative analysis of the welfare gains from trade.

Suggested Citation

  • Chen, Yi-Fan & Hsu, Wen-Tai & Peng, Shin-Kun, 2023. "Innovation, firm size distribution, and gains from trade," Theoretical Economics, Econometric Society, vol. 18(1), January.
    • Handle: RePEc:the:publsh:4152
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20230341/36601/1106
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. , & Lorenz, Jan & ,, 2016. "Innovation vs. imitation and the evolution of productivity distributions," Theoretical Economics, Econometric Society, vol. 11(3), September.
    2. Thomas Chaney, 2014. "The Network Structure of International Trade," American Economic Review, American Economic Association, vol. 104(11), pages 3600-3634, November.
    3. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    4. Nina Pavcnik, 2002. "Trade Liberalization, Exit, and Productivity Improvements: Evidence from Chilean Plants," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 245-276.
    5. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    6. Marc J. Melitz & Giancarlo I. P. Ottaviano, 2021. "Market Size, Trade, and Productivity," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 4, pages 87-108, World Scientific Publishing Co. Pte. Ltd..
    7. Thomas Sampson, 2016. "Dynamic Selection: An Idea Flows Theory of Entry, Trade, and Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(1), pages 315-380.
    8. Acemoglu, Daron & Cao, Dan, 2015. "Innovation by entrants and incumbents," Journal of Economic Theory, Elsevier, vol. 157(C), pages 255-294.
    9. Thomas Chaney, 2018. "The Gravity Equation in International Trade: An Explanation," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 150-177.
    10. Marc J. Melitz & Stephen J. Redding, 2015. "New Trade Models, New Welfare Implications," American Economic Review, American Economic Association, vol. 105(3), pages 1105-1146, March.
    11. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    12. Robert C. Feenstra & David E. Weinstein, 2017. "Globalization, Markups, and US Welfare," Journal of Political Economy, University of Chicago Press, vol. 125(4), pages 1040-1074.
    13. repec:hal:spmain:info:hdl:2441/3pucspchqi8kcpk743av62v2va is not listed on IDEAS
    14. Giammario Impullitti & Omar Licandro, 2018. "Trade, Firm Selection and Innovation: The Competition Channel," Economic Journal, Royal Economic Society, vol. 128(608), pages 189-229, February.
    15. Luis Garicano, 2000. "Hierarchies and the Organization of Knowledge in Production," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 874-904, October.
    16. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    17. repec:hal:spmain:info:hdl:2441/7an8r1ubqs93caeqs80puld0tp is not listed on IDEAS
    18. Nigai, Sergey, 2017. "A tale of two tails: Productivity distribution and the gains from trade," Journal of International Economics, Elsevier, vol. 104(C), pages 44-62.
    19. Paula Bustos, 2011. "Trade Liberalization, Exports, and Technology Upgrading: Evidence on the Impact of MERCOSUR on Argentinian Firms," American Economic Review, American Economic Association, vol. 101(1), pages 304-340, February.
    20. Maria Bas & Ivan Ledezma, 2015. "Trade Liberalization and Heterogeneous Technology Investments," Review of International Economics, Wiley Blackwell, vol. 23(4), pages 738-781, September.
    21. 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.
    22. Yeaple, Stephen Ross, 2005. "A simple model of firm heterogeneity, international trade, and wages," Journal of International Economics, Elsevier, vol. 65(1), pages 1-20, January.
    23. Maria Bas & Ivan Ledezma, 2015. "Trade Liberalization and Heterogeneous Technology Investments," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01297160, HAL.
    24. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    25. 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.
    26. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    27. Michael Waugh & Ina Simonovska, 2012. "Different Trade Models, Different Trade Elasticities?," 2012 Meeting Papers 618, Society for Economic Dynamics.
    28. 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.
    29. Giammario Impullitti & Omar Licandro, 2018. "Trade, Firm Selection and Innovation: The Competition Channel," Economic Journal, Royal Economic Society, vol. 128(608), pages 189-229, February.
    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. Kishi, Keiichi & Okada, Keisuke, 2021. "The impact of trade liberalization on productivity distribution under the presence of technology diffusion and innovation," Journal of International Economics, Elsevier, vol. 128(C).
    2. Kishi, Keiichi & Okada, Keisuke, 2018. "Trade Liberalization, Technology Diffusion, and Productivity," MPRA Paper 88597, University Library of Munich, Germany.
    3. Monika Mrázová & J. Peter Neary & Mathieu Parenti, 2021. "Sales and Markup Dispersion: Theory and Empirics," Econometrica, Econometric Society, vol. 89(4), pages 1753-1788, July.
    4. Jesse Perla & Christopher Tonetti & Michael E. Waugh, 2021. "Equilibrium Technology Diffusion, Trade, and Growth," American Economic Review, American Economic Association, vol. 111(1), pages 73-128, January.
    5. Dewitte, Ruben, 2020. "From Heavy-Tailed Micro to Macro: on the characterization of firm-level heterogeneity and its aggregation properties," MPRA Paper 103170, University Library of Munich, Germany.
    6. 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.
    7. Joseph S. Shapiro & Reed Walker, 2018. "Why Is Pollution from US Manufacturing Declining? The Roles of Environmental Regulation, Productivity, and Trade," American Economic Review, American Economic Association, vol. 108(12), pages 3814-3854, December.
    8. Monte, Ferdinando, 2011. "Skill bias, trade, and wage dispersion," Journal of International Economics, Elsevier, vol. 83(2), pages 202-218, March.
    9. Luis Garicano & Claire Lelarge & John Van Reenen, 2016. "Firm Size Distortions and the Productivity Distribution: Evidence from France," American Economic Review, American Economic Association, vol. 106(11), pages 3439-3479, November.
    10. Fabrice Defever & Alejandro Riano, 2017. "Twin peaks," Discussion Papers 2017-15, University of Nottingham, GEP.
    11. Bas, Maria & Mayer, Thierry & Thoenig, Mathias, 2017. "From micro to macro: Demand, supply, and heterogeneity in the trade elasticity," Journal of International Economics, Elsevier, vol. 108(C), pages 1-19.
    12. Xavier Jaravel & Erick Sager, 2019. "What are the Price Effects of Trade? Evidence from the U.S. and Implications for Quantitative Trade Models," 2019 Meeting Papers 1320, Society for Economic Dynamics.
    13. Alessandra Bonfiglioli & Rosario Crinò & Gino Gancia, 2021. "International Trade with Heterogeneous Firms: Theory and Evidence," CESifo Working Paper Series 9423, CESifo.
    14. Rutzer, Christian, 2014. "A Theory of Trade Liberalization and Innovations with Heterogeneous Firms," Working papers 2014/02, Faculty of Business and Economics - University of Basel.
    15. Ruben Dewitte & Michel Dumont & Glenn Rayp & Peter Willemé, 2022. "Unobserved heterogeneity in the productivity distribution and gains from trade," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(3), pages 1566-1597, August.
    16. Luca Fontanelli, 2023. "Theories of Market Selection: A Survey," GREDEG Working Papers 2023-08, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    17. Antonio Navas & Antonella Nocco, 2021. "Trade liberalization, selection, and technology adoption with vertical linkages," Review of International Economics, Wiley Blackwell, vol. 29(4), pages 979-1012, September.
    18. 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.
    19. Erick Sager & Olga A. Timoshenko, 2019. "The double EMG distribution and trade elasticities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 52(4), pages 1523-1557, November.
    20. Ahmad, Saad & Akgul, Zeynep, 2018. "Using Power Laws to Identify the Structural Parameters of Trade Models with Firm Heterogeneity," Conference papers 332993, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.

    More about this item

    Keywords

    Power law; firm heterogeneity; asymptotic power functions; regular variation; innovation; gains from trade;
    All these keywords.

    JEL classification:

    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • F13 - International Economics - - Trade - - - Trade Policy; International Trade Organizations
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

    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:the:publsh:4152. 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: Martin J. Osborne (email available below). General contact details of provider: http://econtheory.org .

    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.