IDEAS home Printed from
MyIDEAS: Login to save this paper or follow this series

Competitive nonlinear pricing and bundling

  • Armstrong, Mark
  • Vickers, John

We examine the impact of multiproduct nonlinear pricing on profit, consumer surplus and welfare in a duopoly. When consumers buy all their products from one firm (the one-stop shopping model), nonlinear pricing leads to higher profit and welfare, but often lower consumer surplus, than linear pricing. By contrast, in a unit-demand model where consumers may buy one product from one firm and another product from another firm, bundling generally acts to reduce profit and welfare and to boost consumer surplus. In a more general model where consumers may buy from more than one firm and where consumers have elastic demands for each product, nonlinear pricing has ambiguous effects. Compared with linear pricing, nonlinear pricing tends to raise profit but harm consumer surplus when: (i) demand is elastic, (ii) there is substantial product differentiation, (iii) there is substantial heterogeneity in consumer demand, (iv) consumers face substantial shopping costs when visiting more than one firm, and (v) a consumer's brand preference for one product is strongly correlated with her brand preference for another product. Nonlinear pricing is more likely to lead to welfare gains when (i), (ii), (iv) and (v) hold, but (iii) does not.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
File Function: original version
Download Restriction: no

File URL:
File Function: revised version
Download Restriction: no

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 70.

in new window

Date of creation: Sep 2006
Date of revision:
Handle: RePEc:pra:mprapa:70
Contact details of provider: Postal: Schackstr. 4, D-80539 Munich, Germany
Phone: +49-(0)89-2180-2219
Fax: +49-(0)89-2180-3900
Web page:

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.:

as in new window
  1. repec:ltr:wpaper:2000.11 is not listed on IDEAS
  2. Spulber, Daniel F., 1979. "Non-cooperative equilibrium with price discriminating firms," Economics Letters, Elsevier, vol. 4(3), pages 221-227.
  3. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
  4. Barry Nalebuff, 2004. "Bundling as an Entry Barrier," The Quarterly Journal of Economics, MIT Press, vol. 119(1), pages 159-187, February.
  5. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 277-311.
  6. McAfee, R Preston & McMillan, John & Whinston, Michael D, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 371-83, May.
  7. Margaret Stevens, 2000. "Wage-Tenure Contracts in a Frictional Labour Market: Firms Strategies for Recruitment and Retention," Economics Series Working Papers 2000-W10, University of Oxford, Department of Economics.
  8. John Thanassoulis, 2007. "Competitive Mixed Bundling and Consumer Surplus," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(2), pages 437-467, 06.
  9. Yongmin Chen, 1997. "Paying Customers to Switch," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(4), pages 877-897, December.
  10. Michael D. Whinston, 1989. "Tying, Foreclosure, and Exclusion," NBER Working Papers 2995, National Bureau of Economic Research, Inc.
  11. Anderson, Simon P. & Leruth, Luc, 1993. "Why firms may prefer not to price discriminate via mixed bundling," International Journal of Industrial Organization, Elsevier, vol. 11(1), pages 49-61, March.
  12. Drew Fudenberg & Jean Tirole, 2000. "Customer Poaching and Brand Switching," RAND Journal of Economics, The RAND Corporation, vol. 31(4), pages 634-657, Winter.
  13. Stole, Lars A, 1995. "Nonlinear Pricing and Oligopoly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(4), pages 529-62, Winter.
  14. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  15. Xiangkang Yin, 2000. "Two-part tariff competition in duopoly," Working Papers 2000.11, School of Economics, La Trobe University.
  16. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
  17. 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.
  18. Matutes, Carmen & Regibeau, Pierre, 1992. "Compatibility and Bundling of Complementary Goods in a Duopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 37-54, March.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:70. 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: (Ekkehart Schlicht)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.