This paper analyzes the effect of wage-rate uncertainty on long-run co
mpetitive equilibrium for a labour market made up of heterogeneous wor
kers. We show that if workers are risk-averse an increase in wage rate
uncertainty always lowers aggregate hours of work and increases the e
xpected wage. We also characterize precisely the class of distribution
changes that decrease (or increase) aggregate hours of work, and use
this result to construct a Pareto improving negative income tax scheme
. Finally, we demonstrate that an increase in risk aversion has the sa
me qualitative effect on aggregate hours of work and expected wage as
an increase in wage risk.