The Discriminating Beta: Prices and Capacity with Correlated Demands

Uniform customer‐class pricing can do much of the work of congestion‐based or time‐of‐day pricing in communication or wireless networks. A monopolist exploits differences in the stochastic characteristics of demands. If demands are correlated and the firm faces a capacity constraint, then it can set prices to reduce the variability of aggregate demand, thereby reducing the probability of excess demand and the associated service quality deterioration. Demands that covary negatively with aggregate demand are valuable to the firm in much the same way that securities that covary negatively with the market are valuable in a stock portfolio. Customer classes that exhibit low covariance with aggregate demand realize lower optimal prices. Optimal capacity is also affected by these covariances. As long as demands are not perfectly positively correlated, expected costs of joint production are less than expected costs of serving demands separately.