The equivalence of bundling and advance sales
We show that a monopolist's problem of optimal advance selling strategy can be mathematically transformed into a problem of optimal bundling strategy if four conditions hold: i. consumers and the firm agree on the probability of the states occurring, ii. the firm pre-commits to the spot prices to be charged in the advance selling stage, iii. consumers are risk-neutral, and iv. consumers and the firm do not have time preferences or when they do have time preferences, they discount future at the same rate. The result allows both researchers and practitioners to apply the insights from the well-developed vast literature on bundling to advance selling problems. In particular, we show that advance selling is more profitable than spot selling when consumer valuations across the states are independent or negatively dependent or positively dependent up to a point. We furthermore illustrate the effect of advance selling on the spot prices and consumer welfare: When the firm offers advance selling discounts, sets higher spot prices, so consumers who do not buy in advance are worse off due to the firm offering advance selling discounts. We extend our analysis to the cases of more than two states and competition only in one of the states. We also show how advance selling can be used as an entry deterrence strategy.
|Date of creation:||11 Sep 2013|
|Date of revision:|
|Publication status:||Published in Marketing Sciences 33(2): 259–272.|
|Contact details of provider:|| Postal: |
Phone: +49 (0)30 21231 0
Fax: +49 (0)30 21231 9
Web page: http://www.esmt.org
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Gérard P. Cachon, 2004. "The Allocation of Inventory Risk in a Supply Chain: Push, Pull, and Advance-Purchase Discount Contracts," Management Science, INFORMS, vol. 50(2), pages 222-238, February.
- Dennis W. Carlton & Michael Waldman, 1998.
"The Strategic Use of Tying to Preserve and Create Market Power in Evolving Industries,"
NBER Working Papers
6831, National Bureau of Economic Research, Inc.
- Dennis W. Carlton & Michael Waldman, 2002. "The Strategic Use of Tying to Preserve and Create Market Power in Evolving Industries," RAND Journal of Economics, The RAND Corporation, vol. 33(2), pages 194-220, Summer.
- Dennis W. Carlton & Michael Waldman, 1998. "The Strategic Use Of Tying To Preserve And Create Market Power In Evolving Industries," University of Chicago - George G. Stigler Center for Study of Economy and State 145, Chicago - Center for Study of Economy and State.
- Michael D. Whinston, 1989.
"Tying, Foreclosure, and Exclusion,"
NBER Working Papers
2995, National Bureau of Economic Research, Inc.
- Mark Armstrong, 2012.
"A More General Theory of Commodity Bundling,"
Economics Series Working Papers
624, University of Oxford, Department of Economics.
- Yannis Bakos & Erik Brynjolfsson, 1997.
"Bundling Information Goods: Pricing, Profits and Efficiency,"
Working Paper Series
199, MIT Center for Coordination Science.
- Yannis Bakos & Erik Brynjolfsson, 1999. "Bundling Information Goods: Pricing, Profits, and Efficiency," Management Science, INFORMS, vol. 45(12), pages 1613-1630, December.
- James D. Dana & Jr., 1998. "Advance-Purchase Discounts and Price Discrimination in Competitive Markets," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 395-422, April.
- Schmalensee, Richard, 1984. "Gaussian Demand and Commodity Bundling," The Journal of Business, University of Chicago Press, vol. 57(1), pages S211-30, January.
- Adams, William James & Yellen, Janet L, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, MIT Press, vol. 90(3), pages 475-98, August.
- R. Venkatesh & Wagner Kamakura, 2003. "Optimal Bundling and Pricing under a Monopoly: Contrasting Complements and Substitutes from Independently Valued Products," The Journal of Business, University of Chicago Press, vol. 76(2), pages 211-232, April.
- McAfee, R. Preston & McMillan, John, 1988. "Multidimensional incentive compatibility and mechanism design," Journal of Economic Theory, Elsevier, vol. 46(2), pages 335-354, December.
- repec:att:wimass:9005 is not listed on IDEAS
- Gertner, Robert, 1993. "Game Shows and Economic Behavior: Risk-Taking on "Card Sharks."," The Quarterly Journal of Economics, MIT Press, vol. 108(2), pages 507-21, May.
- Chenghuan Sean Chu & Phillip Leslie & Alan Sorensen, 2011. "Bundle-Size Pricing as an Approximation to Mixed Bundling," American Economic Review, American Economic Association, vol. 101(1), pages 263-303, February.
- Robert T. Clemen & Terence Reilly, 1999. "Correlations and Copulas for Decision and Risk Analysis," Management Science, INFORMS, vol. 45(2), pages 208-224, February.
- Jinhong Xie & Steven M. Shugan, 2001. "Electronic Tickets, Smart Cards, and Online Prepayments: When and How to Advance Sell," Marketing Science, INFORMS, vol. 20(3), pages 219-243, June.
- John C. Eckalbar, 2010. "Closed-Form Solutions to Bundling Problems," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(2), pages 513-544, 06.
- Long, John B, Jr, 1984. "Comments on "Gaussian Demand and Commodity Bundling."," The Journal of Business, University of Chicago Press, vol. 57(1), pages S235-46, January.
- Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, Elsevier.
- Gale, Ian L & Holmes, Thomas J, 1993.
"Advance-Purchase Discounts and Monopoly Allocation of Capacity,"
American Economic Review,
American Economic Association, vol. 83(1), pages 135-46, March.
When requesting a correction, please mention this item's handle: RePEc:esm:wpaper:esmt-13-11. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ESMT Faculty Publications)
If references are entirely missing, you can add them using this form.