IDEAS home Printed from https://ideas.repec.org/p/aah/aarhec/2013-10.html
   My bibliography  Save this paper

Monotone Comparative Statics for the Industry Composition

Author

Listed:
  • Peter Arendorf Bache

    (Department of Economics and Business, Aarhus University)

  • Anders Laugesen

    (Department of Economics and Business, Aarhus University)

Abstract

We let heterogeneous firms face decisions on a number of complementary activities in a monopolistically-competitive industry. The endogenous level of competition and selection regarding entry and exit of firms introduces a wedge between monotone comparative statics (MCS) at the firm level and MCS for the industry composition. The latter phenomenon is defined as first-order stochastic dominance shifts in the equilibrium distributions of all activities across active firms. We provide sufficient conditions for MCS at both levels of analysis and show that we may have either type of MCS without the other. It is therefore possible that firm-level complementarities manifest themselves more clearly at the industry level than at the firm level during comparative statics. This turns out to be the case for a large number of models and shocks considered in the recent trade literature for which we provide strong, novel, and testable predictions.

Suggested Citation

  • Peter Arendorf Bache & Anders Laugesen, 2013. "Monotone Comparative Statics for the Industry Composition," Economics Working Papers 2013-10, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:aarhec:2013-10
    as

    Download full text from publisher

    File URL: https://repec.econ.au.dk/repec/afn/wp/13/wp13_10.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Thierry Mayer & Marc J. Melitz & Gianmarco I. P. Ottaviano, 2021. "Market Size, Competition, and the Product Mix of Exporters," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 5, pages 109-150, World Scientific Publishing Co. Pte. Ltd..
    2. Kyle Bagwell & Garey Ramey, 1994. "Advertising and Coordination," Review of Economic Studies, Oxford University Press, vol. 61(1), pages 153-171.
    3. 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.
    4. 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.
    5. Andrew B. Bernard & Jonathan Eaton & J. Bradford Jensen & Samuel Kortum, 2003. "Plants and Productivity in International Trade," American Economic Review, American Economic Association, vol. 93(4), pages 1268-1290, September.
    6. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    7. 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.
    8. Roy, Sunanda & Sabarwal, Tarun, 2010. "Monotone comparative statics for games with strategic substitutes," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 793-806, September.
    9. Pol Antras & Elhanan Helpman, 2004. "Global Sourcing," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 552-580, June.
    10. Monika Mrázová & J Peter Neary, 2019. "Selection Effects with Heterogeneous Firms," Journal of the European Economic Association, European Economic Association, vol. 17(4), pages 1294-1334.
    11. Fabio Ghironi & Marc J. Melitz, 2005. "International Trade and Macroeconomic Dynamics with Heterogeneous Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 865-915.
    12. Lorenzo Caliendo & Esteban Rossi-Hansberg, 2012. "The Impact of Trade on Organization and Productivity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1393-1467.
    13. Milgrom, Paul & Roberts, John, 1996. "The LeChatelier Principle," American Economic Review, American Economic Association, vol. 86(1), pages 173-179, March.
    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. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    16. Elhanan Helpman & Oleg Itskhoki & Stephen Redding, 2010. "Inequality and Unemployment in a Global Economy," Econometrica, Econometric Society, vol. 78(4), pages 1239-1283, July.
    17. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    18. Susan Athey & Armin Schmutzler, 1995. "Product and Process Flexibility in an Innovative Environment," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 557-574, Winter.
    19. Arnaud Costinot, 2009. "An Elementary Theory of Comparative Advantage," Econometrica, Econometric Society, vol. 77(4), pages 1165-1192, July.
    20. repec:hal:wpspec:info:hdl:2441/c8dmi8nm4pdjkuc9g8m210prh is not listed on IDEAS
    21. 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..
    22. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    23. Milgrom, Paul R & Qian, Yingyi & Roberts, John, 1991. "Complementarities, Momentum, and the Evolution of Modern Manufacturing," American Economic Review, American Economic Association, vol. 81(2), pages 84-88, May.
    24. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    25. Elhanan Helpman & Marc J. Melitz & Stephen R. Yeaple, 2004. "Export Versus FDI with Heterogeneous Firms," American Economic Review, American Economic Association, vol. 94(1), pages 300-316, March.
    26. Kasahara, Hiroyuki & Lapham, Beverly, 2013. "Productivity and the decision to import and export: Theory and evidence," Journal of International Economics, Elsevier, vol. 89(2), pages 297-316.
    27. Holmstrom, Bengt & Milgrom, Paul, 1994. "The Firm as an Incentive System," American Economic Review, American Economic Association, vol. 84(4), pages 972-991, September.
    28. Milgrom, Paul & Roberts, John, 1995. "Complementarities and fit strategy, structure, and organizational change in manufacturing," Journal of Accounting and Economics, Elsevier, vol. 19(2-3), pages 179-208, April.
    29. 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.
    30. Bagwell, Kyle & Ramey, Garey, 1994. "Coordination Economies, Advertising, and Search Behavior in Retail Markets," American Economic Review, American Economic Association, vol. 84(3), pages 498-517, June.
    31. Costas Arkolakis & Arnaud Costinot & Dave Donaldson & Andrés Rodríguez-Clare, 2019. "The Elusive Pro-Competitive Effects of Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 46-80.
    32. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8m210prh is not listed on IDEAS
    33. 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.
    34. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    35. Krugman, Paul R., 1979. "Increasing returns, monopolistic competition, and international trade," Journal of International Economics, Elsevier, vol. 9(4), pages 469-479, November.
    36. repec:hrv:faseco:4784029 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. Emmanuel Dhyne & Ayumu Ken Kikkawa & Magne Mogstad & Felix Tintelnot, 2021. "Trade and Domestic Production Networks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 643-668.
    2. Pol Antràs & Teresa C. Fort & Felix Tintelnot, 2017. "The Margins of Global Sourcing: Theory and Evidence from US Firms," American Economic Review, American Economic Association, vol. 107(9), pages 2514-2564, September.
    3. Peter Arendorf Bache & Anders Laugesen, 2013. "Trade Liberalisation and Vertical Integration," Economics Working Papers 2013-14, Department of Economics and Business Economics, Aarhus University.

    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. 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.
    2. Andrew B. Bernard & J. Bradford Jensen & Stephen J. Redding & Peter K. Schott, 2012. "The Empirics of Firm Heterogeneity and International Trade," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 283-313, July.
    3. Monika Mrázová & J Peter Neary, 2019. "Selection Effects with Heterogeneous Firms," Journal of the European Economic Association, European Economic Association, vol. 17(4), pages 1294-1334.
    4. Alessandra Bonfiglioli & Rosario Crinò & Gino Gancia, 2021. "International Trade with Heterogeneous Firms: Theory and Evidence," CESifo Working Paper Series 9423, CESifo.
    5. Anders Rosenstand Laugesen, 2015. "Asymmetric Monotone Comparative Statics for the Industry Compositions," Economics Working Papers 2015-22, Department of Economics and Business Economics, Aarhus University.
    6. Andrew B. Bernard & J. Bradford Jensen & Stephen J. Redding & Peter K. Schott, 2018. "Global Firms," Journal of Economic Literature, American Economic Association, vol. 56(2), pages 565-619, June.
    7. 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.
    8. Federico J. Diez & Jesse Mora & Alan C. Spearot, 2016. "Firms in international trade," Working Papers 16-25, Federal Reserve Bank of Boston.
    9. Anders Rosenstand Laugesen, 2017. "Asymmetric Monotone Comparative Statics for the Industry Compositions," Review of International Economics, Wiley Blackwell, vol. 25(2), pages 362-382, May.
    10. Monika Mrázová & J. Peter Neary, 2017. "Not So Demanding: Demand Structure and Firm Behavior," American Economic Review, American Economic Association, vol. 107(12), pages 3835-3874, December.
    11. Mrázová, Monika & Neary, J. Peter, 2020. "IO for exports(s)," International Journal of Industrial Organization, Elsevier, vol. 70(C).
    12. Ziran Ding, 2022. "Firm heterogeneity, variable markups, and multinational production: A review from trade policy perspective," Journal of Economic Surveys, Wiley Blackwell, vol. 36(5), pages 1311-1357, December.
    13. Bo Gao & Mich Tvede, 2022. "The impact of trade with pure exporters," Review of International Economics, Wiley Blackwell, vol. 30(1), pages 83-112, February.
    14. Kalina Manova & Zhiwei Zhang, 2012. "Export Prices Across Firms and Destinations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 379-436.
    15. Munch, Jakob R. & Nguyen, Daniel X., 2014. "Decomposing firm-level sales variation," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 317-334.
    16. Carsten Eckel & Florian Unger, 2023. "Credit Constraints, Endogenous Innovations, And Price Setting In International Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(4), pages 1715-1747, November.
    17. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    18. Flach, Lisandra & Unger, Florian, 2022. "Quality and gravity in international trade," Journal of International Economics, Elsevier, vol. 137(C).
    19. Ma, Yue & Tang, Heiwai & Zhang, Yifan, 2014. "Factor Intensity, product switching, and productivity: Evidence from Chinese exporters," Journal of International Economics, Elsevier, vol. 92(2), pages 349-362.
    20. Manova, Kalina & Yu, Zhihong, 2017. "Multi-product firms and product quality," Journal of International Economics, Elsevier, vol. 109(C), pages 116-137.

    More about this item

    Keywords

    Complementary Activities; Firm Heterogeneity; Monotone Comparative Statics; Markups; Firm-Size Distribution; International Trade;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • F61 - International Economics - - Economic Impacts of Globalization - - - Microeconomic Impacts
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:aah:aarhec:2013-10. 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: the person in charge (email available below). General contact details of provider: http://www.econ.au.dk/afn/ .

    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.