Most lectures teach the relationship between the CES, Cobb-Douglas, and Leontief functions using the value of elasticity of substitution, namely, in the discrete object model. This lecture note aims at being a reference for algebraic computations of the Leontief and Cobb-Douglas functions by...

Recently Acemolgu, Aghion, Bursztyn and Hemous (AER 2012) formulated a model in which a high macroeconomic elasticity of substitution between clean and dirty production represents a crucial condition for green growth. Until now it has never been systematically estimated. Using a novel panel of...

We develop a two-factor, two-sector trade model of monopolistic competition with variable elasticity of substitution. Firm profit and firm size may increase or decrease with market integration depending on the degree of asymmetry between countries. The country in which capital is relatively...

In the CGE based policy modeling literature, especially recent literature on policy modeling for global climate change, nested CES production functions over multiple inputs have been widely used. Although lack of reliable estimates of substitution elasticities for nested structures has been...