| Handbook of Pricing Research in Marketing
A nonlinear pricing schedule refers to any pricing structure where the total charges payable by customers are not proportional to the quantity of their consumed services. We begin the chapter with a discussion of the broad applicability of nonlinear pricing schemes. We note that the primary factor for the use of such schemes is the heterogeneity of the customer base. Such heterogeneity of preferences leads customers to choose different pricing plans based on their expected demand. We describe past analytical and empirical research. Past analytical work is categorized based on whether it is in a monopoly setting or a more general oligopoly context. Most past research has found two-part tariffs to be optimal in many settings. More recent research has begun to investigate the limits of such optimality and when a more general pricing scheme can be optimal. In the summary of empirical research on multi-part tariffs, we note that while nonlinear pricing schemes are popular, any analysis of demand under such schemes is nontrivial. One important reason is the two-way relationship between price and consumption in multi-part tariffs—the pricing scheme influences consumption, and the level of consumption determines the applicable per-unit price. We describe how researchers have addressed this and other such issues and then show a modeling framework that integrates all the issues. We end by discussing empirical generalizations, which also suggest some promising areas for future research.
Demand and Consumers;
Duopoly and Oligopoly;
Iyengar, Raghuram, and Sunil Gupta. "Nonlinear Pricing." In Handbook of Pricing Research in Marketing, edited by Vithala Rao. MA: Edward Elgar Publishing, 2009.