This article provides a revealed preference characterisation of quasi-hyperbolic discounting which is designed to be applied to readily available expenditure surveys. We describe necessary and sufficient conditions for the leading forms of the model and also study the consequences of the restrictions on preferences popularly used in empirical lifecycle consumption models. Using data from a household consumption panel dataset, we explore the prevalence of time-inconsistent behaviour. The quasi-hyperbolic model provides a significantly more successful account of behaviour than the alternatives considered. We estimate the joint distribution of time preferences and the distribution of discount functions at various time horizons.

Characteristics models have been found to be useful in many areas of economics. However, their empirical implementation tends to rely heavily on functional form assumptions. In this paper we develop a revealed preference approach to characteristics models. We derive the necessary and sufficient empirical conditions under which data on the market behaviour of heterogeneous, price-taking consumers are non-parametrically consistent with the consumer characteristics model. Where these conditions hold, we show how information may be recovered on individual consumers' marginal valuations of product attributes. In some cases, marginal valuations are point identified, and in other cases, we can only recover bounds. Where the conditions fail, we highlight the role which the introduction of unobserved product attributes can play in rationalizing the data. We implement these ideas using consumer panel data on the Danish milk market.