An open economy general equilibrium model with heterogeneous producers, a homothetic utility function and endogenous elasticity

Abstract

Recent monopolistic competition models have identified three main sources of the gains from trade: (1) the introduction of new varieties for consumers, (2) an improvement in efficiency through the exit of low-productivity firms, and (3) a reduction in firms' markups through import competition. In this paper, we extend Feenstra (Economics Letters, 78 (1): [79][80][81][82][83][84][85][86] 2003) to develop a model with producers heterogeneous in productivity to capture these gains. Here, firm markups are decreasing with market share, and trade introduces new varieties to consumers and reduces the market share of domestic firms. This reduces markups and profits and forces low-productivity firms to exit. This pro-competitive effect on the distribution of productivity contrasts with the conventional export-driven mechanism in a constant elasticity setup. We can usefully extend this model for further study because of the homotheticity of the utility function and the tractability of the model.

A Proportional Theory with Heterogeneous Firms and Endogenous Elasticity

“…I show that the impact on aggregate productivity and those decisions can be more profound in import-competing sector, which accords with intuition and empirical observations. Hsu (2009) is based on a continuous version of Feenstra (2003)'s translog utility function. This utility function corresponds to a demand function with an endogenous elasticity and is homothetic.…”