Additive Utility Functions with Double-Log Consumer Demand Functions.

Frisch (1959) proposed the adoption of direct additive utility functions to facilitate empirical demand analysis. Double-log demand functions resulting therefrom are composed of the real income effect and the relative price effect. I show that the income elasticities and the own-price elasticities o...

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Detalles Bibliográficos
Publicado en:Journal of Political Economy Vol. 80; no. 1; pp. 102 - 125
Autor principal: Sato, Kazuo
Formato: Artículo
Publicado: University of Chicago Press Jan/Feb72
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:Frisch (1959) proposed the adoption of direct additive utility functions to facilitate empirical demand analysis. Double-log demand functions resulting therefrom are composed of the real income effect and the relative price effect. I show that the income elasticities and the own-price elasticities of demand are (approximately) constant (an assumption almost invariably made in applications) when the utility function is a generalized CES type. The income elasticity of marginal utility is the overall elasticity of substitution with no cardinal implications that Frisch stressed upon. The paper examines how approximate the constancy assumption is. A comparison is made with the linear expenditure system that is a special case. I suggest that the implied similarity of utility functions among countries provides the missing basis for international comparisons of purchasing power parities. The measurement of consumer demand functions has been and still is one of the most actively explored fields of quantitative research in economics. It used to be considered a herculean job to estimate the complete set of parameters--in particular, all cross-price elasticities--in a mutually consistent framework.[1] Computers do not solve the basic problems.