Competitive Non-Linear Pricing and Contract Variety

We analyze markets with both horizontally and vertically differentiated products under both monopoly and duopoly. In the base model with two consumer types, we identify conditions under which entry prompts an incumbent to expand or contract its low end of the product line. Our analysis offers a novel explanation for the widespread use of "fighting brands" and "product line pruning." We also extend our analysis to asymmetric firms and three types of consumers and show that depending on the specific environment, entry may lead the incumbent to expand or contract the middle range of its product line (middle contracts). Our results are mainly
driven by interactions between horizontal differentiation (competition) and vertical screening of consumers.