The Morishima Elasticity of Substitution for the Variable Profit Function and the Demand for Imports in the United States

In this article, I derive expressions for the Morishima elasticities of substitution (MES) for the variable profit function and estimate these elasticities to shed some light on the substitutability between imports, capital services, and labor services. The results reveal that capital services and imports are Morishima substitutes, irrespective of whether the price of capital services or imports changes, and imports and labor services are also Morishima substitutes, irrespective of whether the price of imports or the wage rate changes. Thus, an increase in the price of U.S. imports (through tariffs or duties) will result in substitution (in the Morishima sense) into labor and capital services. Copyright 2002 by the Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Resarch Association