This paper uses revealed preference inequalities to provide the tightest possible (best) nonparametric bounds on predicted consumer responses to price changes using consumer-level data over a finite set of relative price changes. These responses are allowed to vary nonparametrically across the income distribution. This is achieved by combining the theory of revealed preference with the semiparametric estimation of consumer expansion paths (Engel curves). We label these expansion path based bounds on demand responses as E-bounds. Deviations from revealed preference restrictions are measured by preference perturbations which are shown to usefully characterize taste change and to provide a stochastic environment within which violations of revealed preference inequalities can be assessed.

This paper considers structural non-parametric random utility models for continuous choice variables with unobserved heterogeneity. We provide sufficient conditions on random preferences to yield reduced-form systems of non-parametric stochastic demand functions that allow global invertibility between demands and non-separable unobserved heterogeneity. Invertibility is essential for global identification of structural consumer demand models, for the existence of well-specified probability models of choice and for the non-parametric analysis of revealed stochastic preference. We distinguish between new classes of models in which heterogeneity is separable and non-separable in the marginal rates of substitution, respectively.

We use British panel data to investigate single women’s labor supply changes in response to three reforms that affected individuals’ work incentives. We use these reforms to identify changes in labor supply. There is evidence of small hours of work effects for two of such reforms. A third reform in 1999 instead led to a significant increase in single mothers’ hours of work. The mechanism by which the labor supply adjustments were made occurred largely through job changes rather than hours changes with the same employer. This is little overall effect of the reforms on wages.

This paper examines the link between income and consumption inequality. We create panel data on consumption for the Panel Study of Income Dynamics using an imputation procedure based on food demand estimates from the Consumer Expenditure Survey. We document a disjuncture between income and consumption inequality over the 1980s and show that it can be explained by changes in the persistence of income shocks. We find some partial insurance of permanent shocks, especially for the college educated and those near retirement. We find full insurance of transitory shocks except among poor households. Taxes, transfers, and family labor supply play an important role in insuring permanent shocks.