In empirical demand, industrial organization, and labor economics, prices are often unobserved or unobservable since they may only be recorded when an agent transacts. In the absence of any additional information, this partial observability of prices is known to lead to a number of identi?cation...

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 investigate necessary and sufficient nonparametric conditions for the quasi-hyperbolic consumer. These turn out to be quite tractable. We investigate the performance of this model compared to the standard exponential discounting model using consumer panel data.