Revealed preference tests are frequently used to check data on the behavior of agents for consistency with economic theory. Unfortunately these tests lack a stochastic element and thus one violation of revealed preference causes a rejection of the behavior being tested. To remedy this lack of a...

We present the revealed preference conditions that characterize the data sets that are consistent with the maximization of a weakly separable utility function. We show that verifying these revealed preference conditions is np-hard. We also present an integer programming approach, which is...