We present a diagrammatic and step-by-step analysis of price signaling quality. Because quality is a continuum on the real positive line, out-of-equilibrium beliefs need not be specified, i.e., every positive price is a positive outcome in equilibrium. We first study the behavior of the monopoly...

We study the informational role of prices in a stochastic environment. We provide a closed-form solution of the monopoly problem when the price imperfectly signals quality to the uninformed buyers. We then study the effect of noise on output, market price, information flows, and expected...

We study the informational role of prices. To that end, we consider the framework of a dominant firm with a competitive fringe. When the competitive fringe is large enough, there exists a unique fully revealing equilibrium, in which the price conveys full information about the quality of the...

We study third-degree price discrimination in the presence of uninformed buyers who extract noisy information from observing prices. In a noisy learning environment, price discrimination can be detrimental to the firm and beneficial to the consumers. On the one hand, discriminatory pricing...

We consider a monopoly supplying a homogeneous good to two separate markets with different demands. In one of the markets, some buyers do not know the quality of the good, but learn about it from observing prices. Under noisy demand, third-degree price discrimination is shown to alter the...

We address the issue of risk aversion in a competitive equilibrium when some buyers engage in learning and information is conveyed through the price system. Specifically, since the learning process yields uncertainty, we study the effect of risk aversion on the equilibrium outcomes of the model,...

We extend the analysis on hedging with price and output uncertainty by endogenizing the output decision. Specifically, we consider the joint determination of output and hedging in the case of flexibility in production. We show that the risk-averse firm always maintains a short position in the...

We study learning in perfect competition. A price-taking firm sells a good whose quality is unknown to some buyers. The uninformed buyers use the price to infer information about quality. The presence of noise on the supply prevents perfect learning. Even though the firm is a price-taker,...