This paper extends the deterministic revealed preference theory of consumer
s' behavior to permit stochastic choices. In this extended framework, we in
troduce a restriction on stochastic choices that constitutes a stochastic c
ounterpart of the weak axiom of revealed preference. This restriction allow
s us to derive stochastic versions of nonpositivity of the own substitution
effect and the demand theorem. Journal of Economic Literature, Classificat
ion Number Number: D11. (C) 1999 Academic Press.