Diagrammatic approach to capacity-constrained price discrimination

This paper presents a diagrammatic solution to the firm's profit-maximizing price discrimination problem in the face of capacity constraints. Airlines, hotels, and other firms practice yield management, allocating fixed capacity to customer groups paying different prices. In these cases, the firm's short-run problem is not a decision about production levels, but it is one of allocating a fixed number of output units among customers. Our diagram shows that the conditions for profit-maximizing price discrimination are very different under these circumstances than in the standard model in which the firm is not constrained by capacity.