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Modern Trade Theory for CGE Modelling: the Armington, Krugman and Melitz Models

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  • Dixon, Peter
  • Michael Jerie
  • Maureen Rimmer

Abstract

This paper is for CGE modelers and others interested in modern trade theory. The Armington specification of trade, assuming country-level product differentiation, has been central to CGE modelling for 40 years. Starting in the 1980s with Krugman and more recently Melitz, trade theorists have preferred specifications with firm-level product differentiation. We draw out the connections between the Armington, Krugman and Melitz models, deriving them as successively less restrictive special cases of an encompassing model. We then investigate optimality properties of the Melitz model, demonstrating that a Melitz general equilibrium is the solution to a global, cost-minimizing problem. This suggests that envelope theorems can be used in interpreting results from a Melitz model. Next we explain the Balistreri-Rutherford decomposition in which a Melitz general equilibrium model is broken into Melitz sectoral models combined with an Armington general equilibrium model. Balistreri and Rutherford see their decomposition as a basis of an iterative approach for solving Melitz general equilibrium models. We see it as a means for interpreting Melitz results as the outcome of an Armington simulation with additional shocks to productivity and preferences variables. With CGE modelers in mind, we report computational experience in solving a Melitz general equilibrium model using GEMPACK.

Suggested Citation

  • Dixon, Peter & Michael Jerie & Maureen Rimmer, 2015. "Modern Trade Theory for CGE Modelling: the Armington, Krugman and Melitz Models," GTAP Technical Papers 4595, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University.
  • Handle: RePEc:gta:techpp:4595
    Note: GTAP Technical Paper No. 36
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    References listed on IDEAS

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    Cited by:

    1. Hosoe, Nobuhiro, 2018. "Impact of border barriers, returning migrants, and trade diversion in Brexit: Firm exit and loss of variety," Economic Modelling, Elsevier, vol. 69(C), pages 193-204.
    2. Waschik, Robert, 2015. "Differentiated products, increasing returns to scale and heterogeneous firms in a CGE model of the Australian coal sector," Energy Economics, Elsevier, vol. 51(C), pages 521-529.
    3. repec:eee:enepol:v:115:y:2018:i:c:p:584-615 is not listed on IDEAS

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