Imperfect Price Discrimination, Market Structure, and Efficiency

We introduce a flexible third-degree price discrimination framework by modeling the information firms possess about consumers' locations (preferences) on the Salop circle as a partition. Higher information quality is translated into a partition refinement. In the limit, we obtain the perfect price discrimination paradigm. We show that the free-entry equilibrium number of firms exhibits a U-shape as a function of the quality of information. This implies that price discrimination generates the most efficient free-entry outcome