Notes on Aggregation Criteria in Market Segmentation
澄清了标准价格歧视理论中利润最大化的聚合标准，指出Tollefson和Lessig的误解，并证明在线性需求和恒定边际成本下其推论成立；同时反驳了反对用弹性进行聚类的理论证据，提出支持聚类技术用于市场细分的新定理。
First, the authors seek to dispel any misunderstanding that standard price discrimination theory prescribes a profit-maximizing aggregation criterion. They argue that Tollefson and Lessig misinterpreted this theory, but prove that the latter authors’ unwarranted implication is justified in the case of linear demand functions and constant marginal costs. Second, the authors argue that the “theoretical evidence” presented by Tollefson and Lessig against using elasticities to cluster segments is, in fact, no evidence at all, and that their simulations may be valid only under extreme conditions. Finally, a new theorem is offered which provides some support for using clustering techniques to disaggregate markets.