F. Demers et M. Demers, PRUDENCE, DEMAND UNCERTAINTY, BACKGROUND RISK, AND THE LAW OF SUPPLY - A NONEXPECTED UTILITY APPROACH TO THE FIRM, Geneva papers on risk and insurance. Theory, 22(1), 1997, pp. 21-42
We identify two motives, prudence and risk aversion, which give rise t
o precautionary behavior for a quantity- or price-setting monopolist f
acing demand uncertainty who has dual theoretic preferences. We also a
nalyze a piecewise linear profit function due to a tax on profits that
varies with the profit level. We show that the comparative statics of
greater risk (mean-preserving spread and mean-utility preserving spre
ad) can be totally or partially determined by the Diamond-Stiglitz and
Kihlstrom-Mirman single-crossing property. For example, for a prudent
risk-averse quantity-setting dual theoretic monopolist, a mean-preser
ving spread will have the same impact on output under uncertainty as a
fall in the state of demand under certainty. Finally, we find that, i
n contrast to expected utility, a stochastically larger state of deman
d (first-order stochastic dominance) will raise output even if backgro
und risk is present.