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...

The purpose of this paper is to provide a comparison of three types of competition in a differentiated industry: Cournot, Bertrand, and monopolistic competition. This is accomplished in an economy involving one sector and a population of consumers endowed with separable preferences and a given...

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,...