We show that an agent maximizing some utility function on a discrete (as opposed to continuous) consumption space will obey the generalized axiom of revealed preference (GARP) so long as the agent obeys cost efficiency. Cost efficiency will hold if there is some good, outside the set of goods...

We investigate deterministic stochastic choice in the standard consumer framework. We present a model of statistical consumer theory where the individual maximizes their utility with respect to a distribution of bundles that is constrained by a statistic of the distribution (e.g. mean...