| Abstract: | A monopoly facing an uncertain demand can affect its profit distribution through the choice of ex ante controls. This paper compares two modes of behavior - price-setting and quantity-setting - in the context of a mean-variance model. The main results are: (a) With nonlinear cost, the monopoly will not be indifferent between the two modes. In the particular case of quadratic cost, conditions for the dominance of price-setting over quantity-setting behavior are derived. (b) Whereas it is well-known that the risk averse, quantity-setting monopoly will produce less under uncertainty than under certainty (or risk neutrality), the price-setting monopoly increases its expected output when faced by uncertain demand, possibly exceeding even the competitive output under uncertainty. (c) Using expected social surplus as a welfare criterion, price-setting emerges as the welfare-dominant behavior when there is a conflict between the privately and the socially preferred modes. (d) Finally, there exist conditions where price-setting monopolies welfare-dominate a competitive industry facing the same random demand. |
