Parameterization of applied general equilibrium models with flexible trade specifications based on the Armington, Krugman, and Melitz models

This paper explains how the Armington-Krugman-Melitz supermodel developed by Dixon and Rimmer can be parameterized, and demonstrates that only two kinds of additional information are required in order to extend a standard trade model to include Melitz-type monopolistic competition and heterogeneous firms. Further, it is shown how specifying too much additional information leads to violations of the model constraints, necessitating adjustment and reconciliation of the data. Once a Melitz-type model is parameterized, a Krugman-type model can also be parameterized using the calibrated values in the Melitz-type model without any additional data. Sample code for the General Algebraic Modeling System (GAMS) has also been prepared to promote the innovative supermodel in the AGE community.

Neutrality in the choice of number of firms or level of fixed costs in calibrating an Armington-Krugman-Melitz encompassing module for applied general equilibrium models

This paper shows how an Armington-Krugman-Melitz encompassing module based on Dixon and Rimmer (2012) can be calibrated, and clarifies the choice of initial levels for two kinds of number of firms, or parameter values for two kinds of fixed costs, that enter a Melitz-type specification can be set freely to any preferred value, just as the cases we derive quantities from given value data assuming some of the initial prices to be unity. In consequence, only one kind of additional information, which is on the shape parameter related to productivity, just is required in order to incorporate Melitz-type monopolistic competition and heterogeneous firms into a standard applied general equilibrium model. To be a Krugman-type, nothing is needed. This enables model builders in applied economics to fully enjoy the featured properties of the theoretical models invented by Krugman (1980) and Melitz (2003) in practical policy simulations at low cost.