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,...

We study general discrete-types multidimensional screening without any noticeable restrictions on valuations, using instead epsilon-relaxation of the incentive-compatibility constraints. Any active (becoming equality) constraint can be perceived as "envy" arc from one type to another, so the set...