This paper uses revealed preference inequalities to provide tight nonparametric bounds on consumer responses to price changes. Price responses are allowed to vary nonparametrically across the income distribution by exploiting microdata on consumer expenditures and incomes over a finite set 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...

This paper applies revealed preference theory to the nonparametric statistical analysis of consumer demand. Knowledge of expansion paths is shown to improve the power of nonparametric tests of revealed preference. The tightest bounds on indifference surfaces and welfare measures are derived...