Quantity Discounts for Time-Varying Consumers
AbstractWhen a monopolist asks consumers to choose a particular nonlinear tariff option, consumers do not completely know their type. Their valuations of the good and/or optimal quantity purchases are only fully realized after the optional tariff has been subscribed. In order to characterize the menu of optimal nonlinear tariffs when consumers’ demands are stochastic, I show that the increasing hazard rate property of distributions is preserved under convolution. This result, together with very weak assumptions on demand (common to standard nonlinear pricing), ensures that the continuum of optional nonlinear tariffs is characterized by quantity discounts. I test nonparametrically the theoretical prerequisites of the model using data directly linked to consumer types from the 1986 Kentucky telephone tariff experiment. I show that the distribution of actual calls second order stochastically dominates the distribution of expected calls, which fully supports the suggested type-varying theoretical model. Finally, I analyse possible welfare effects of the introduction of optional tariffs and their relative expected profitability using the empirical distribution of consumer types in two local exchanges with differentiated calling patterns. The evidence suggests that a menu of optional two-part tariffs dominates any other pricing strategy.
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Bibliographic InfoPaper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 2699.
Date of creation: Feb 2001
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Find related papers by JEL classification:
- D42 - Microeconomics - - Market Structure and Pricing - - - Monopoly
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- L96 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Telecommunications
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- Eugenio J. Miravete, 2001. "On Preservation of Increasing Hazard Rate Under Convolution," Penn CARESS Working Papers bb127ee2a4b562b26fd991e9f, Penn Economics Department.
- Clay, Karen B & Sibley, David S & Srinagesh, Padmanabhan, 1992. "Ex Post vs. Ex Ante Pricing: Optional Calling Plans and Tapered Tariffs," Journal of Regulatory Economics, Springer, vol. 4(2), pages 115-38, June.
- Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
- Miravete, Eugenio J, 2000. "Choosing the Wrong Calling Plan? Ignorance, Learning, and Risk Aversion," CEPR Discussion Papers 2562, C.E.P.R. Discussion Papers.
- Caillaud, Bernard & Guesnerie, Roger & Rey, Patrick, 1989.
"Noisy observation in adverse selection models,"
CEPREMAP Working Papers (Couverture Orange)
- Marc IVALDI & David MARTIMORT, 1994.
"Competition under Nonlinear Pricing,"
Annales d'Economie et de Statistique,
ENSAE, issue 34, pages 71-114.
- Pascal Courty & Li Hao, 1997.
Economics Working Papers
224, Department of Economics and Business, Universitat Pompeu Fabra.
- Miravete, Eugenio J, 2000.
"Estimating Demand for Local Telephone Service with Asymmetric Information and Optional Calling Plans,"
CEPR Discussion Papers
2635, C.E.P.R. Discussion Papers.
- Miravete, Eugenio J, 2002. "Estimating Demand for Local Telephone Service with Asymmetric Information and Optional Calling Plans," Review of Economic Studies, Wiley Blackwell, vol. 69(4), pages 943-71, October.
- Eugenio J. Miravete, 2002. "Estimating Demand for Local Telephone Service with Asymmetric Information and Optional Calling Plans," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 943-971.
- Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
- Kridel, Donald J. & Lehman, Dale E. & Weisman, Dennis L., 1993. "Option value, telecommunications demand, and policy," Information Economics and Policy, Elsevier, vol. 5(2), pages 125-144, July.
- Train, Kenneth E & Ben-Akiva, Moshe & Atherton, Terry, 1989. "Consumption Patterns and Self-selecting Tariffs," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 62-73, February.
- Baron, David P. & Besanko, David, 1984. "Regulation and information in a continuing relationship," Information Economics and Policy, Elsevier, vol. 1(3), pages 267-302.
- Bruno Biais & David Martimort & Jean-Charles Rochet, 2000.
"Competing Mechanisms in a Common Value Environment,"
Econometric Society, vol. 68(4), pages 799-838, July.
- Biais, Bruno & Martimort, David & Rochet, Jean-Charles, 1998. "Competing Mechanisms in a Commun Value Environment," IDEI Working Papers 75, Institut d'Économie Industrielle (IDEI), Toulouse.
- Wilson, Robert, 1997. "Nonlinear Pricing," OUP Catalogue, Oxford University Press, number 9780195115826, September.
- Srinagesh, P., 1992. "A Dynamic Stochastic Model of choice," Papers 78, Bell Communications - Economic Research Group.
- Baron, David P & Besanko, David, 1999. "Informational Alliances," Review of Economic Studies, Wiley Blackwell, vol. 66(4), pages 743-68, October.
- Jean Tirole & Jean-Jaques Laffont, 1985.
"Using Cost Observation to Regulate Firms,"
368, Massachusetts Institute of Technology (MIT), Department of Economics.
- Miravete, Eugenio J, 1996.
"Screening Consumers through Alternative Pricing Mechanisms,"
Journal of Regulatory Economics,
Springer, vol. 9(2), pages 111-32, March.
- Eugenio J. Miravete, 1995. "Screening Consumers through Alternative Pricing Mechanisms," Discussion Papers 1145, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
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