It is generally believed that risk-averse managers will not accept unf
air gambles and therefore may not have the incentive to invest in high
-risk projects, products or technology. This paper argues that this is
not necessarily so Rational, risk-averse managers with sufficient pre
ference for positive skewness may undertake projects with payoff distr
ibutions that are unfair gambles. Furthermore, the minimum required pa
yoff is shown to be less for managers with preference for positive ske
wness than otherwise. Thus, a risk-averse manager with preference for
positive skewness may accept potentially innovative high-risk projects
that are rejected by those without such preference.