Advanced Search
MyIDEAS: Login

Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly

Contents:

Author Info

  • Manelli, Alejandro M.
  • Vincent, Daniel R.

Abstract

The seller of N distinct objects is uncertain about the buyer’s valuation for those objects. The seller’s problem, to maximize expected revenue, consists of maximizing a linear functional over a convex set of mechanisms. A solution to the seller’s problem can always be found in an extreme point of the feasible set. We identify the relevant extreme points and faces of the feasible set. With N = 1, the extreme points are easily described providing simple proofs of well-known results. The revenue-maximizing mechanism assigns the object with probability one or zero depending on the buyer’s report. With N > 1, extreme points often involve randomization in the assignment of goods. Virtually any extreme point of the feasible set maximizes revenue for a well-behaved distribution of buyer’s valuations. We provide a simple algebraic procedure to determine whether a mechanism is an extreme point.

(This abstract was borrowed from another version of this item.)

Download Info

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: http://www.sciencedirect.com/science/article/B6WJ3-4P18BM9-1/2/28586e73ddb3d5ebf23332faf2508d73
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 137 (2007)
Issue (Month): 1 (November)
Pages: 153-185

as in new window
Handle: RePEc:eee:jetheo:v:137:y:2007:i:1:p:153-185

Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords:

Other versions of this item:

Find related papers by JEL classification:

References

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. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
  2. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-19, July.
  3. McAfee, R. Preston & McMillan, John, 1988. "Multidimensional incentive compatibility and mechanism design," Journal of Economic Theory, Elsevier, vol. 46(2), pages 335-354, December.
  4. Jehiel, Phillipe & Moldovanu, Benny & Stacchetti, E., 1997. "Multidimensional Mechanism Design for Auctions with Externalities," Sonderforschungsbereich 504 Publications 97-04, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  5. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  6. Riley, John & Zeckhauser, Richard, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 267-89, May.
  7. 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.
  8. Armstrong, Mark, 1999. "Price Discrimination by a Many-Product Firm," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 151-68, January.
  9. 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.
  10. Thanassoulis, John, 2004. "Haggling over substitutes," Journal of Economic Theory, Elsevier, vol. 117(2), pages 217-245, August.
  11. Basov, Suren, 2001. "Hamiltonian approach to multi-dimensional screening," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 77-94, September.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Asker, John & Cantillon, Estelle, 2007. "Procurement when Price and Quality Matter," CEPR Discussion Papers 6082, C.E.P.R. Discussion Papers.
  2. Omer Lev, 2010. "A Two-Dimensional Problem of Revenue Maximization," Discussion Paper Series dp542, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  3. Sandro Brusco & Giuseppe Lopomo & Leslie M. Marx, 2011. "The Economics of Contingent Re-auctions," American Economic Journal: Microeconomics, American Economic Association, vol. 3(2), pages 165-93, May.
  4. Sergiu Hart & Noam Nisan, 2012. "Approximate Revenue Maximization with Multiple Items," Discussion Paper Series dp606, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  5. Lev, Omer, 2011. "A two-dimensional problem of revenue maximization," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 718-727.
  6. Asker, John & Cantillon, Estelle, 2005. "Optimal Procurement When Both Price and Quality Matter," CEPR Discussion Papers 5276, C.E.P.R. Discussion Papers.
  7. Sergiu Hart & Philip J. Reny, 2012. "Maximal Revenue with Multiple Goods: Nonmonotonicity and Other Observations," Levine's Working Paper Archive 786969000000000625, David K. Levine.
  8. Jason D. Hartline, 2012. "Approximation in Mechanism Design," American Economic Review, American Economic Association, vol. 102(3), pages 330-36, May.
  9. Mehmet Ekmekci & Nenad Kos & Rakesh Vohra, 2013. "Just Enough or All: Selling a Firm," Working Papers 470, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  10. Alexey Malakhov & Rakesh Vohra, 2009. "An optimal auction for capacity constrained bidders: a network perspective," Economic Theory, Springer, vol. 39(1), pages 113-128, April.

Lists

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

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:137:y:2007:i:1:p:153-185. 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: (Zhang, Lei).

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.