Variable elasticity of substitution in urban housing production

Abstract

The notion that the elasticity of substitution in urban housing production should vary with changing intensities of land use seems to be realistic and theoretically viable. Hence the variable elasticity of substitution production function has been proposed by some authors. However, it suffers from a serious shortcoming that the elasticity of substitution should not exceed unity. To allow for flexibility in the range of the elasticity of substitution, we explore a general functional form for the housing production function, the weak disposability of inputs production function in particular. Our empirical findings, based on the Santa Clara County single-family housing data, provide evidence that this general function is a more accurate specification of urban housing production than the variable elasticity of substitution function.