The central purpose of this paper is to examine vertical integration as an equilibrium phenomenon. We model it as integration between Cournot oligopolists in both the upstream and the downstream stages. We consider the issue of private profitability versus collective profitability and show that...

We study a multidimensional screening problem with minimal restrictions on valuations. Our ?-relaxation of the constraints excludes bunching and cycles in the graph of active incentive-compatibility constraints. Therefore, the Lagrange multipliers do exist and enable us in characterizing...

We show that when a seller of a di¤erentiated good o¤ers the product allowing consumers an option to pay what they like, then all consumers will never free ride in equilibrium when their valuations of the good are positive, and, under certain conditions, all will consumers would pay. Further,...

This article analyzes a commonly used pricing practice, which the author calls 'buffet pricing,' in which for a fixed entry fee consumers can consume an unlimited quantity during a specified period of time. When consumers are homogeneous in preferences, this form of pricing can be more...

We analyze self-selection problem when valuations are non-ordered. The corresponding package-pricing solution has specific graph structure. It is helpful in deriving weak su±cient conditions for both partial e±ciency and Pareto-e±ciency. Unlike the ordered valuations case, Pareto e±ciency is...

We generalize the usual screening approach and conditions for efficiency-at-the-top and acyclic property from linear to fixed-plus-separable or concave costs and multidimensional commodities. But under non-concave costs, like capacity constraints, an example shows a cycle in the solution graph....

The paper focuses on efficiency under monopoly. Contrary to common wisdom, nine examples given in the paper show that a Pareto-efficient output in monopoly is possible under both linear and nonlinear pricing. Pareto efficiency can be achieved when consumers are homogeneous as well as...