G. Dionne et T. Mounsif, INVESTMENT UNDER DEMAND UNCERTAINTY - THE NEWSBOY PROBLEM REVISITED, Geneva papers on risk and insurance. Theory, 21(2), 1996, pp. 179-189
In this article we study the effect of uncertainty on an entrepreneur
who must choose the capacity of his business before knowing the demand
for his product. The unit profit of operation is known with certainty
, but there is no flexibility in our one-period framework. We show how
the introduction of global uncertainty reduces the investment of the
risk-neutral entrepreneur and, even more, that of the risk-averse one.
We also show how marginal increases in risk reduce the optimal capaci
ty of both the risk-neutral and the risk-averse entrepreneur, without
any restriction on the concave utility function and with limited restr
ictions on the definition of a mean preserving spread. These general r
esults are explained by the fact that the newsboy has a piecewise-line
ar, and concave, monetary payoff with a kink endogenously determined a
t the level of optimal capacity. Our results are compared with those i
n the two literatures on price uncertainty and demand uncertainty, and
particularly, with the recent contributions of Eeckhoudt, Gollier, an
d Schlesinger [1991, 1995].