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Theoretically-Consistent Parameterization of a Multi-sector Global Model with Heterogeneous Firms

Author

Listed:
  • Akgul, Zeynep
  • Villoria, Nelson
  • Hertel, Thomas

Abstract

Parameter selection in Computable General Equilibrium (CGE) models of international trade is important for trade policy analysis as parameter values affect trade and welfare responses to changes in trade barriers. This is particularly important if the CGE model incorporates firm heterogeneity because it introduces a new margin of adjustment and changes the interpretation of parameter estimates. A remaining obstacle to fully understanding the insights of trade in CGE models with firm heterogeneity is the lack of an appropriate set of parameter estimates consistent with the underlying theory. Our objective in this paper is to solve for structural parameters that are theoretically consistent with firm heterogeneity models. Specifically, we focus on the elasticity of substitution across varieties. We distinguish between the extensive and intensive margins of trade flows and estimate two gravity equations by using country-level data for the motor vehicles and parts industry. Our results show that the elasticity values that are consistent with the firm heterogeneity theory are considerably lower than Armington (1969) elasticities used in the GTAP model. This implies that current implementations of Melitz-type models which use elasticities of substitution estimated in the absence of firm heterogeneity will give overly large trade volume responses to policy reforms.

Suggested Citation

  • Akgul, Zeynep & Villoria, Nelson & Hertel, Thomas, 2015. "Theoretically-Consistent Parameterization of a Multi-sector Global Model with Heterogeneous Firms," Conference papers 332604, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
  • Handle: RePEc:ags:pugtwp:332604
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    References listed on IDEAS

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    1. Melitz, Marc J. & Redding, Stephen J., 2013. "Firm heterogeneity and aggregate welfare," LSE Research Online Documents on Economics 51533, London School of Economics and Political Science, LSE Library.
    2. de Sousa, José & Mayer, Thierry & Zignago, Soledad, 2012. "Market access in global and regional trade," Regional Science and Urban Economics, Elsevier, vol. 42(6), pages 1037-1052.
    3. 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.
    4. 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.
    5. Peter Dixon & Michael Jerie & Maureen Rimmer, 2016. "Modern Trade Theory for CGE Modelling: The Armington, Krugman and Melitz Models," Journal of Global Economic Analysis, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University, vol. 1(1), pages 1-110, June.
    6. Head, Keith & Mayer, Thierry & Ries, John, 2010. "The erosion of colonial trade linkages after independence," Journal of International Economics, Elsevier, vol. 81(1), pages 1-14, May.
    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. repec:hal:spmain:info:hdl:2441/10187 is not listed on IDEAS
    9. repec:hal:wpspec:info:hdl:2441/7o52iohb7k6srk09n8t832o04 is not listed on IDEAS
    10. 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.
    11. repec:hal:spmain:info:hdl:2441/7o52iohb7k6srk09n8t832o04 is not listed on IDEAS
    12. Fujiwara, Yoshi, 2004. "Zipf law in firms bankruptcy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 219-230.
    13. repec:hal:wpspec:info:hdl:2441/10187 is not listed on IDEAS
    14. 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.
    15. Matthieu Crozet & Pamina Koenig, 2010. "Structural gravity equations with intensive and extensive margins," Canadian Journal of Economics, Canadian Economics Association, vol. 43(1), pages 41-62, February.
    16. 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.
    17. Zhai, Fan, 2008. "Armington Meets Melitz: Introducing Firm Heterogeneity in a Global CGE Model of Trade," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 23, pages 575-604.
    18. 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.
    19. Hillberry, Russell & Hummels, David, 2013. "Trade Elasticity Parameters for a Computable General Equilibrium Model," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1213-1269, Elsevier.
    20. Kei-Mu Yi, 2003. "Can Vertical Specialization Explain the Growth of World Trade?," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 52-102, February.
    21. Hertel, Thomas & Hummels, David & Ivanic, Maros & Keeney, Roman, 2007. "How confident can we be of CGE-based assessments of Free Trade Agreements?," Economic Modelling, Elsevier, vol. 24(4), pages 611-635, July.
    22. repec:hal:spmain:info:hdl:2441/6apm7lruv088iagm4rv2c33jtg is not listed on IDEAS
    23. J. M. C. Santos Silva & Silvana Tenreyro, 2015. "Trading Partners and Trading Volumes: Implementing the Helpman–Melitz–Rubinstein Model Empirically," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 77(1), pages 93-105, February.
    24. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    25. 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.
    26. 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.
    27. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    28. Okuyama, K & Takayasu, M & Takayasu, H, 1999. "Zipf's law in income distribution of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 125-131.
    29. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," SciencePo Working papers hal-03579844, HAL.
    30. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    31. Hertel, Thomas & Hummels, David & Ivanic, Maros & Keeney, Roman, 2007. "How confident can we be of CGE-based assessments of Free Trade Agreements?," Economic Modelling, Elsevier, vol. 24(4), pages 611-635, July.
    32. de Sousa, José & Mayer, Thierry & Zignago, Soledad, 2012. "Market access in global and regional trade," Regional Science and Urban Economics, Elsevier, vol. 42(6), pages 1037-1052.
    33. David Hummels & Peter J. Klenow, 2005. "The Variety and Quality of a Nation's Exports," American Economic Review, American Economic Association, vol. 95(3), pages 704-723, June.
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