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Monotone Comparative Statics for the Industry Composition

Author

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  • 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
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    File URL: ftp://ftp.econ.au.dk/afn/wp/13/wp13_10.pdf
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    References listed on IDEAS

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    1. Thierry Mayer & Marc J. Melitz & Gianmarco I. P. Ottaviano, 2014. "Market Size, Competition, and the Product Mix of Exporters," American Economic Review, American Economic Association, pages 495-536.
    2. Costas Arkolakis & Marc-Andreas Muendler, 2010. "The Extensive Margin of Exporting Products: A Firm-level Analysis," CESifo Working Paper Series 3309, CESifo Group Munich.
    3. 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.
    4. Jonathan Eaton & Samuel Kortum & Francis Kramarz, 2011. "An Anatomy of International Trade: Evidence From French Firms," Econometrica, Econometric Society, pages 1453-1498.
    5. 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.
    6. Pol Antras & Elhanan Helpman, 2004. "Global Sourcing," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 552-580, June.
    7. Thierry Mayer & Marc J. Melitz & Gianmarco I. P. Ottaviano, 2014. "Market Size, Competition, and the Product Mix of Exporters," American Economic Review, American Economic Association, vol. 104(2), pages 495-536, February.
    8. Fabio Ghironi & Marc J. Melitz, 2005. "International Trade and Macroeconomic Dynamics with Heterogeneous Firms," The Quarterly Journal of Economics, Oxford University Press, vol. 120(3), pages 865-915.
    9. Lorenzo Caliendo & Esteban Rossi-Hansberg, 2012. "The Impact of Trade on Organization and Productivity," The Quarterly Journal of Economics, Oxford University Press, vol. 127(3), pages 1393-1467.
    10. Milgrom, Paul & Roberts, John, 1996. "The LeChatelier Principle," American Economic Review, American Economic Association, vol. 86(1), pages 173-179, March.
    11. Andrew B. Bernard & Stephen J. Redding & Peter K. Schott, 2011. "Multiproduct Firms and Trade Liberalization," The Quarterly Journal of Economics, Oxford University Press, vol. 126(3), pages 1271-1318.
    12. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    13. Elhanan Helpman & Oleg Itskhoki & Stephen Redding, 2010. "Inequality and Unemployment in a Global Economy," Econometrica, Econometric Society, vol. 78(4), pages 1239-1283, July.
    14. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, Southern Economic Association, vol. 71(3), pages 636-660, January.
    15. Peter Neary & Monika Mrazova, 2011. "Selection Effects with Heterogeneous Firms," Economics Series Working Papers 588, University of Oxford, Department of Economics.
    16. Arnaud Costinot, 2009. "An Elementary Theory of Comparative Advantage," Econometrica, Econometric Society, vol. 77(4), pages 1165-1192, July.
    17. Marc J. Melitz & Gianmarco I. P. Ottaviano, 2008. "Market Size, Trade, and Productivity," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 295-316.
    18. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    19. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 187-223.
    20. Elhanan Helpman & Marc J. Melitz & Stephen R. Yeaple, 2004. "Export Versus FDI with Heterogeneous Firms," American Economic Review, American Economic Association, pages 300-316.
    21. 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.
    22. 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.
    23. Holmstrom, Bengt & Milgrom, Paul, 1994. "The Firm as an Incentive System," American Economic Review, American Economic Association, vol. 84(4), pages 972-991, September.
    24. 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.
    25. 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.
    26. Thierry Mayer & Marc J. Melitz & Gianmarco I. P. Ottaviano, 2014. "Market Size, Competition, and the Product Mix of Exporters," American Economic Review, American Economic Association, vol. 104(2), pages 495-536, February.
    27. 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.
    28. Krugman, Paul R., 1979. "Increasing returns, monopolistic competition, and international trade," Journal of International Economics, Elsevier, vol. 9(4), pages 469-479, November.
    29. repec:hrv:faseco:4784029 is not listed on IDEAS
    30. Costas Arkolakis & Arnaud Costinot & Dave Donaldson & Andrés Rodríguez-Clare, 2015. "The Elusive Pro-Competitive Effects of Trade," NBER Working Papers 21370, National Bureau of Economic Research, Inc.
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    Citations

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    Cited by:

    1. Magne Mogstad & Emmanuel Dhyne & Ayumu Kikkawa & Felix Tintelnot, 2017. "Trade and Domestic Production Networks," 2017 Meeting Papers 381, Society for Economic Dynamics.
    2. Pol Antràs & Teresa C. Fort & Felix Tintelnot, 2014. "The Margins of Global Sourcing: Theory and Evidence from U.S. Firms," NBER Working Papers 20772, National Bureau of Economic Research, Inc.
    3. repec:aea:aecrev:v:107:y:2017:i:9:p:2514-64 is not listed on IDEAS

    More about this item

    Keywords

    Complementary Activities; Firm Heterogeneity; Monotone Comparative Statics; Markups; Firm-Size Distribution; International Trade;

    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

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