We study the profit-maximizing price path of a monopolist selling a durable good to buyers who arrive over time and whose values for the good evolve stochastically. The setting is completely stationary with an infinite horizon. Contrary to the case with constant values, optimal prices fluctuate with time. We argue that consumers’ randomly changing values offer an explanation for temporary price reductions that are often observed in practice.

A seller with commitment power sets prices over time. Risk-averse buyers arrive to the market and decide when to purchase. We show that it is optimal for the seller to choose a constant high price punctuated by occasional episodes of sequential discounts that occur at random times. This optimal price-path has the property that the price a buyer ends up paying is independent of his arrival and purchase times, and only depends on his valuation. Our theory accommodates empirical findings on the timing of discounts.

Work on relational employment agreements often predicts low payments or termination for poor performance. The possibility of saving can, however, limit the effectiveness of monetary incentives in motivating an employee with diminishing marginal utility for consumption. We study the role of savings and their observability in optimal relational contracts. We focus on the case where players are not too patient, and hence the constant first‐best effort cannot be implemented. If savings are hidden, the relationship eventually deteriorates over time. In particular, both payments and effort decline. On the other hand, if savings are public, consumption is initially high, so the agent's savings fall over time, and effort and payments to the agent increase. The findings thus suggest how tacit agreements on consumption can forestall the deterioration of dynamic relationships in which the agent can save.

We study the interplay between informational frictions and second-degree price discrimination. Our theory recognizes that consumers differ in their tastes for quality as well as in the information they possess about available offers, which leads to dispersion over price–quality menus in equilibrium. While firms are ex ante identical, we show that their menus are ordered so that more generous menus leave more surplus to consumers of all valuations. We explore the cross-section of equilibrium menus and variations in market conditions to generate empirical predictions on prices, qualities, and markups across firms, and within a firm’s product line. For instance, more competition may raise prices for low-quality goods; yet, consumers are better off, as the qualities they receive also increase. The predictions of our model illuminate empirical findings in many markets, such as those for cell phone plans, yellow-pages advertising, cable TV, and air travel.

We develop a dynamic theory of managerial turnover in a world in which the quality of the match between a firm and its managers changes stochastically over time. Shocks to managerial productivity are anticipated at the time of contracting but privately observed by the managers. Our key positive result shows that the firm’s optimal retention decisions become more permissive with time. Our key normative result shows that, compared to what is efficient, the firm’s contract induces either excessive retention at all tenure levels or excessive firing at the early stages of the relationship, followed by excessive retention after sufficiently long tenure.