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Foundation of the Small Open Economy Model with Product Differentiation

Author

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  • Lorenzo Caliendo
  • Robert C. Feenstra
Abstract
We derive a small open economy (SOE) as the limit of an economy as the number or size of its trading partners goes to infinity and trade costs also go to infinity. We obtain this limit in the Armington, Eaton-Kortum, Krugman, and Melitz models. In all cases, the trade of the SOE with the foreign countries approaches a finite limit, and the domestic expenditure share for the SOE approaches a limit that is not zero or unity. The foreign countries can be either infinitely many SOEs, or alternatively, one or many large countries with domestic expenditure shares that approach unity. We illustrate the usefulness of this framework by obtaining a formula for the optimal tariff in the SOE -- depending on the elasticity of domestic wages with respect to the tariff -- that is consistent with all models.

Suggested Citation

  • Lorenzo Caliendo & Robert C. Feenstra, 2022. "Foundation of the Small Open Economy Model with Product Differentiation," NBER Working Papers 30223, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:30223
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    References listed on IDEAS

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    1. Balistreri, Edward J. & Hillberry, Russell H. & Rutherford, Thomas F., 2011. "Structural estimation and solution of international trade models with heterogeneous firms," Journal of International Economics, Elsevier, vol. 83(2), pages 95-108, March.
    2. 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..
    3. Feenstra, Robert C., 2003. "A homothetic utility function for monopolistic competition models, without constant price elasticity," Economics Letters, Elsevier, vol. 78(1), pages 79-86, January.
    4. 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.
    5. Feenstra, Robert C, 1994. "New Product Varieties and the Measurement of International Prices," American Economic Review, American Economic Association, vol. 84(1), pages 157-177, March.
    6. Ralph Ossa, 2014. "Trade Wars and Trade Talks with Data," American Economic Review, American Economic Association, vol. 104(12), pages 4104-4146, December.
    7. Edward J. Balistreri & David G. Tarr, 2022. "Welfare gains in the Armington, Krugman and Melitz models: Comparisons grounded on gravity," Economic Inquiry, Western Economic Association International, vol. 60(4), pages 1681-1703, October.
    8. 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.
    9. Krugman, Paul R., 1979. "Increasing returns, monopolistic competition, and international trade," Journal of International Economics, Elsevier, vol. 9(4), pages 469-479, November.
    10. Kimball, Miles S, 1995. "The Quantitative Analytics of the Basic Neomonetarist Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1241-1277, November.
    11. Dominick Bartelme & Arnaud Costinot & Dave Donaldson & Andres Rodriguez-Clare, "undated". "The Textbook Case for Industrial Policy: Theory Meets Data," Working Papers 675, Research Seminar in International Economics, University of Michigan.
    12. Arnaud Costinot & Andrés Rodríguez‐Clare & Iván Werning, 2020. "Micro to Macro: Optimal Trade Policy With Firm Heterogeneity," Econometrica, Econometric Society, vol. 88(6), pages 2739-2776, November.
    13. Marc J. Melitz & Gianmarco I. P. Ottaviano, 2008. "Market Size, Trade, and Productivity (DOI:10.111/j.1467-937x.2007.00463.x)," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 985-985.
    14. 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.
    15. Svetlana Demidova & Konstantin Kucheryavyy & Takumi Naito & Andrés Rodríguez-Clare, 2022. "The Small Open Economy in a Generalized Gravity Model," NBER Working Papers 30394, National Bureau of Economic Research, Inc.
    16. Caliendo, Lorenzo & Feenstra, Robert C. & Romalis, John & Taylor, Alan M., 2023. "A second-best argument for low optimal tariffs on intermediate inputs," Journal of International Economics, Elsevier, vol. 145(C).
    17. 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.
    18. 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.
    19. 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.
    20. Felbermayr, Gabriel & Jung, Benjamin & Larch, Mario, 2013. "Optimal tariffs, retaliation, and the welfare loss from tariff wars in the Melitz model," Journal of International Economics, Elsevier, vol. 89(1), pages 13-25.
    21. Lorenzo Caliendo & Fernando Parro, 2015. "Estimates of the Trade and Welfare Effects of NAFTA," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 1-44.
    22. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    23. Alan Spearot, 2016. "Unpacking the Long-Run Effects of Tariff Shocks: New Structural Implications from Firm Heterogeneity Models," American Economic Journal: Microeconomics, American Economic Association, vol. 8(2), pages 128-167, May.
    24. Gros, Daniel, 1987. "A note on the optimal tariff, retaliation and the welfare loss from tariff wars in a framework with intra-industry trade," Journal of International Economics, Elsevier, vol. 23(3-4), pages 357-367, November.
    25. Dornbusch, Rudiger & Fischer, Stanley & Samuelson, Paul A, 1977. "Comparative Advantage, Trade, and Payments in a Ricardian Model with a Continuum of Goods," American Economic Review, American Economic Association, vol. 67(5), pages 823-839, December.
    26. 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.
    27. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    28. Demidova, Svetlana & Rodríguez-Clare, Andrés, 2013. "The simple analytics of the Melitz model in a small economy," Journal of International Economics, Elsevier, vol. 90(2), pages 266-272.
    29. Lorenzo Caliendo & Robert C. Feenstra & John Romalis & Alan M. Taylor, 2023. "Tariff Reductions, Heterogeneous Firms, and Welfare: Theory and Evidence for 1990–2010," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 71(4), pages 817-851, December.
    30. Kyle Bagwell & Robert W. Staiger & Ali Yurukoglu, 2021. "Quantitative Analysis of Multiparty Tariff Negotiations," Econometrica, Econometric Society, vol. 89(4), pages 1595-1631, July.
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    Cited by:

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    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

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