This brief note shows that if a production function, f, is quasiconcave, increasing and homogeneous, then f is concave if it displays nonincreasing returns to scale, and f is logconcave if it displays increasing returns to scale

Samuelson's (1938) weak (generalized) axiom of revealed preference- WGARP-is a minimal and appealing consistency condition of choice. We offer a rationalization of WGARP in general settings. Our main result is an exact analog of the celebrated Afriat's theorem, but for WGARP. Its ordinal...

The Houtman-Maks index is a measure of the size of a violation of utility maximizing (i.e., rational) behavior. This note introduces the Stata command hmindex, which calculates the Houtman-Maks index for a data set of prices and observed choices of a consumer. The command is illustrated with an...

It is well-known that observed data on prices and quantities of a set of goods is consistent with rational choice if the data satisfy revealed preference. In this paper, we derive estimators for demand and substitution elasticities at the observed data points for datasets satisfying the Strong...

Swofford and Whitney (1987) investigated the validity of two types of assumptions that underlie the representative agent models of modern macroeconomics and monetary economics. These assumptions are utility maximization and weak or functional separability that is required for an economic...

We provide two methods to compute the largest subset of a set of observations that is consistent with the Generalised Axiom of Revealed Preference. The algorithm provided by Houtman and Maks (1985) is not computationally feasible for larger data sets, while our methods are not limited in that...

This article provides a robust non-parametric approach to demand analysis based on a concept called homothetic efficiency. Homotheticity is a useful restriction or assumption but data rarely satisfy testable conditions. To overcome this problem, this article provides a way to estimate homothetic...