An Empirical Comparison of “Frisch” and “Time Series” Demand price Elasticities for individual Commodities

Abstract

In a classical article in 1959, Ragnar Frisch [8] developed a procedure, which, under the assumption of want independence1 and given commodity budget shares, income elasticities, and one own‐price elasticity, allows one to calculate a complete matrix of own and cross price elasticities. Between broad commodity groups such an assumption (want independence) has becme increasingly accepted and in fact under the label of separability has formed the basis for a family of demand models that are increasingly used to estimate demand elasticities for broad commodity groups (the linear expenditure system, the Rotterdam model, etc.). At the individual commodity level however, the assumption of want independence seems less viable, e.g., the utility one derives from pork is in general not considered independent from one's consumption of beef. However, it has become increasingly common (and apparently acceptable) to find the Frisch methodology utilized to develop demand price elasticity estimates for individual agricultural commodities [4, 7, 17].