Varian (1988) introduced an important proposition regarding restrictions on consumption data if observations of the quantities of a good are missing. In this paper, a simple counterexample is presented to show that the original proof is incorrect, and a new proof is provided. The new proof is...

We non-parametrically test a general collective consumption model with public consumption and externalities inside the household. We further propose a novel approach to model special cases of the general collective model. These special cases include alternative restrictions on the 'sharing rule'...

We provide a revealed preference analysis of the transferable utility hypothesis, which is widely used in economic models. First, we establish revealed preference conditions that must be satisfied for observed group behavior to be consistent with Pareto efficiency under transferable utility....

This work consists of two parts: First, it is shown that for a two-dimensional commodity space any homothetic utility function that rationalizes each pair of observations in a set of consumption data also rationalizes the entire set of observations. The result is stated as a pairwise version of...

Sharp nonparametric bounds are derived for Hicksian compensating and equivalent variations. These 'i-bounds' generalize earlier results of Blundell, Browning and Crawford (2008). We show that their e-bounds are sharp under the Weak Axiom of Revealed Preference (WARP). They do not require...

We present a nonparametric revealed preference methodology for empirically analyzing collective consumption behavior. First, we introduce an integer programming (IP) methodology for testing data consistency with collective consumption models that account for publicly as well as privately...

I propose a novel nonparametric method to empirically identify the degree of heterogeneity in individual preferences. Using preference information revealed by the observed behaviour, the method estimates interpersonal preference heterogeneity as the Kemeny distance between individual rankings...

A nonparametric approach is presented to test whether decisions on a probability simplex could be induced by quasiconcave preferences. Necessary and sufficient conditions are presented. If the answer is affirmative, the methods developed here allow to reconstruct bounds on indifference curves....

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...

In this paper, we develop a revealed preference methodology that allows us to explore whether time inconsistencies in household choice are the product of individual preference nonstationarities or the result of individual heterogeneity and renegotiation within the collective unit. An empirical...