Competing auctions with endogenous quantities
Two sellers decide on their discrete supply of a homogenous good. There is a finite number of buyers with unit demand and privately known valuations. In the first model, there is a centralized market place where a uniform auction takes place. In the second, there are two distinct auction sites, each with one seller, and buyers decide where to bid. Using the theory of potential games, we show that in the one-site auction model there is always an equilibrium in pure-strategies. In contrast, if the distribution of buyers values has an increasing failure rate, and if the marginal cost of production is relatively low, there is no pure-strategy equilibrium where both sellers make positive profits in the competing sites model. We also identify conditions under which an equilibrium with a unique active site exists. We deal with the finite and discrete models by using several results about order statistics developed by Richard Barlow and Frank Proschan [R. Barlow, F. Proschan, Mathematical Theory of Reliability, Wiley, New York, 1965; R. Barlow, F. Proschan, Inequalities for linear combinations of order statistics from restricted families, Ann. Math. Statist. 37 (1966) 1593-1601; R. Barlow, F. Proschan, Statistical Theory of Reliability and Life Testing, McArdle Press, Silver Spring, 1975].
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.
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.:
- Paul Klemperer, 1987. "Markets with Consumer Switching Costs," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 375-394.
- Burguet, Roberto & Sakovics, Jozsef, 1999. "Imperfect Competition in Auction Designs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 231-247, February.
- Peters, Michael & Severinov, Sergei, 2005.
"Internet Auctions with Many Traders,"
Microeconomics.ca working papers
peters-05-03-30-03-06-03, Vancouver School of Economics, revised 23 Jan 2006.
- Glenn Ellison & Drew Fudenberg & Markus Mobius, 2010.
Levine's Working Paper Archive
506439000000000092, David K. Levine.
- Glenn Allison & Drew Fudenberg, 2002. "Competing Auctions," Harvard Institute of Economic Research Working Papers 1960, Harvard - Institute of Economic Research.
- Ellison, Glenn & Mobius, Markus & Fudenberg, Drew, 2004. "Competing Auctions," Scholarly Articles 3043414, Harvard University Department of Economics.
- Ellison, Glenn & Fudenberg, Drew & Mobius, Markus, 2010. "Competing Auctions," Staff General Research Papers Archive 32106, Iowa State University, Department of Economics.
- Robert G. Hansen, 1988. "Auctions with Endogenous Quantity," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 44-58, Spring.
- Anderson, Robert M. & Ellison, Glenn & Fudenberg, Drew, 2010.
"Location choice in two-sided markets with indivisible agents,"
Games and Economic Behavior,
Elsevier, vol. 69(1), pages 2-23, May.
- Robert M. Anderson & Glenn Ellison & Drew Fudenberg, 2005. "Location Choice in Two-Sided Markets with Indivisible Agents," Harvard Institute of Economic Research Working Papers 2056, Harvard - Institute of Economic Research.
- Michael Peters & Sergei Severinov, 1995.
"Competition Among Sellers who offer Auctions Instead of Prices,"
peters-95-02, University of Toronto, Department of Economics.
- Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
- Marco LiCalzi & Alessandro Pavan, 2002.
"Tilting the Supply Schedule to Enhance Competition in Uniform- Price Auctions,"
Game Theory and Information
- LiCalzi, Marco & Pavan, Alessandro, 2005. "Tilting the supply schedule to enhance competition in uniform-price auctions," European Economic Review, Elsevier, vol. 49(1), pages 227-250, January.
- Marco LiCalz & Alessandro Pavan, 2002. "Tilting the Supply Schedule to Enhance Competition on Uniform-Price Auctions," Discussion Papers 1495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Marco LiCalzi & Alessandro Pavan, 2003. "Tilting the Supply Schedule to Enhance Competition in Uniform-Price Auctions," Working Papers 2003.22, Fondazione Eni Enrico Mattei.
- Anwar, Sajid & McMillan, Robert & Zheng, Mingli, 2006.
"Bidding behavior in competing auctions: Evidence from eBay,"
European Economic Review,
Elsevier, vol. 50(2), pages 307-322, February.
- MINGLI ZHENG & Robert McMillan & SAJID ANWAR, 2005. "Bidding Behavior in Competing Auctions: Evidence from eBay," Microeconomics 0505001, EconWPA.
- Glenn Ellison & Drew Fudenberg, 2003.
"Knife-Edge or Plateau: When do Market Models Tip?,"
Levine's Working Paper Archive
506439000000000098, David K. Levine.
- Glenn Ellison & Drew Fudenberg, 2003. "Knife Edge of Plateau: When Do Market Models Tip?," NBER Working Papers 9528, National Bureau of Economic Research, Inc.
- Fudenberg, Drew & Ellison, Glenn, 2003. "Knife-Edge or Plateau: When Do Market Models Tip?," Scholarly Articles 3160493, Harvard University Department of Economics.
- Back, Kerry & Zender, Jaime F., 2001. "Auctions of divisible goods with endogenous supply," Economics Letters, Elsevier, vol. 73(1), pages 29-34, October.
- Rabah Amir & Val E. Lambson, 2000.
"On the Effects of Entry in Cournot Markets,"
Review of Economic Studies,
Oxford University Press, vol. 67(2), pages 235-254.
- AMIR, Rabah & LAMBSON, Val, 1999. "On the effects of entry in Cournot markets," CORE Discussion Papers 1999059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Rabah Amir, 2000. "On the Effects of Entry in Cournot Markets," Econometric Society World Congress 2000 Contributed Papers 1475, Econometric Society.
- Rabah Amir & Val E. Lambson, 1998. "On the Effects of Entry in Cournot Markets," CIE Discussion Papers 1998-06, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
- Koutsougeras, Leonidas C., 2003. "Non-Walrasian equilibria and the law of one price," Journal of Economic Theory, Elsevier, vol. 108(1), pages 169-175, January.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Yvan Lengwiler, 1998.
"The multiple unit auction with variable supply,"
Finance and Economics Discussion Series
1998-28, Board of Governors of the Federal Reserve System (U.S.).
- Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-1090, October.
- McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
- Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
- David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
- Moreno, Diego & Ubeda, Luis, 2006. "Capacity precommitment and price competition yield the Cournot outcome," Games and Economic Behavior, Elsevier, vol. 56(2), pages 323-332, August.
- Benny Moldovanu & Aner Sela & Xianwen Shi, 2006.
"Contests For Status,"
0604, Ben-Gurion University of the Negev, Department of Economics.
- Moldovanu, Benny & Sela, Aner & Shi, Xianwen, 2005. "Contests for Status," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 139, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Dov Monderer & Moshe Tennenholtz, 2004. "K-price auctions: Revenue inequalities, utility equivalence, and competition in auction design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 255-270, August.
- Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:141:y:2008:i:1:p:1-27. 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: (Dana Niculescu)
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.