The multiple unit auction with variable supply
The theory of multiple unit auctions traditionally assumes that the offered quantity is fixed. I argue that this assumption is not appropriate for many applications because the seller may be able and willing to adjust the supply as a function of the bidding. In this paper I address this shortcoming by analyzing a multi-unit auction game between a monopolistic seller who can produce arbitrary quantities at constant unit cost, and oligopolistic bidders. I establish the existence of a subgame-perfect equilibrium for price discriminating and for uniform price auctions. I also show that bidders have an incentive to misreport their true demand in both auction formats, but they do that in different ways and for different reasons. Furthermore, both auction formats are inefficient, but there is no unambiguous ordering among them. Finally, the more competitive the bidders are, the more likely the seller is to prefer uniform pricing over price discrimination, yet increased competition among bidders may or may not enhance efficiency.
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.
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.
Volume (Year): 14 (1999)
Issue (Month): 2 ()
|Note:||Received: June 18, 1998; revised version: January 13, 1999|
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/economics/economic+theory/journal/199/PS2|
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.:
- Noussair, Charles, 1995. "Equilibria in a Multi-object Uniform Price Sealed Bid Auction with Multi-unit Demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 337-351, March.
- Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
- Menezes F. M. & Monteiro, P. K., 1996.
"Existence of equilibrium in a descriminatory price auction,"
Mathematical Social Sciences,
Elsevier, vol. 31(1), pages 60-61, February.
- Menezes, Flavio M. & Monteiro, Paulo K., 1995. "Existence of equilibrium in a discriminatory price auction," Mathematical Social Sciences, Elsevier, vol. 30(3), pages 285-292, December.
- Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014.
"Demand Reduction and Inefficiency in Multi-Unit Auctions,"
Review of Economic Studies,
Oxford University Press, vol. 81(4), pages 1366-1400.
- Lawrence M. Ausubel & Peter Cramton, 1995. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Papers of Peter Cramton 98wpdr, University of Maryland, Department of Economics - Peter Cramton, revised 22 Jul 2002.
- Robert G. Hansen, 1988. "Auctions with Endogenous Quantity," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 44-58, Spring.
- Ian Gale, 1994. "Competition for scarce inputs: the case of airport takeoff and landing slots," Economic Review, Federal Reserve Bank of Cleveland, issue Q II, pages 18-25.
- Draaisma, Teun & Noussair, Charles, 1997. "Optimal bidding in a uniform price auction with multi-unit demand1," Economics Letters, Elsevier, vol. 56(2), pages 157-162, October.
- Tenorio, Rafael, 1997. "On Strategic Quantity Bidding in Multiple Unit Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 45(2), pages 207-217, June.
- Nautz, D., 1995. "Optimal bidding in multi-unit auctions with many bidders," Economics Letters, Elsevier, vol. 48(3-4), pages 301-306, June.
- Hans Haller & Yvan Lengwiler, 1998. "A discrete model of discriminatory price auctions - an alternative to Menezes-Monteiro," Finance and Economics Discussion Series 1998-08, Board of Governors of the Federal Reserve System (U.S.).
- V. V. Chari & Robert J. Weber, 1992. "How the U.S. Treasury should auction its debt," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 3-12.
- Nautz, D. & Wolfstetter, E., 1997. "Bid shading and risk aversion in multi-unit auctions with many bidders," Economics Letters, Elsevier, vol. 56(2), pages 195-200, October.
When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:14:y:1999:i:2:p:373-392. 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: (Sonal Shukla)or (Rebekah McClure)
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.