It is shown that a monopolistic firm under uncertainty may be inclined to k
eep some of its output unsold when demand is low. This gives rise to change
s in conventional results. Under uncertainty, a risk-neutral monopolistic f
irm produces more than in a deterministic environment and it refuses to sel
l its total output when demand is low, because the marginal revenue could b
ecome negative or lower than the cost of selling the product. Moreover, in
this framework, prices are shown to be more rigid downwards than upwards. T
he model also provides a new explanation for labour hoarding. JEL classific
ation: D24; D42.