IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Budget-Constrained Sequential Auctions with Incomplete Information

  • Carolyn Pitchik

I study a budget-constrained, private-valuation, sealed-bid sequential auction with two incompletely-informed, risk-neutral bidders in which the valuations and income may be non-monotonic functions of a bidder's type. Multiple equilibrium symmetric bidding functions may exist that differ in allocation, efficiency and revenue. The sequence of sale affects the competition for a good and therefore also affects revenue and the prices of each good in a systematic way that depends on the relationship among the valuations and incomes of bidders. The sequence of sale may affect prices and revenue even when the number of bidders is large relative to the number of goods. If a particular good, say α, is allocated to a strong bidder independent of the sequence of sale, then auction revenue and the price of good α are higher when good α is sold first.

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.economics.utoronto.ca/public/workingPapers/tecipa-342.pdf
File Function: Main Text
Download Restriction: no

Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-342.

as
in new window

Length: 38 pages
Date of creation: 22 Oct 2008
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-342
Contact details of provider: Postal: 150 St. George Street, Toronto, Ontario
Phone: (416) 978-5283

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. Roberto Burguet & R. Preston McAfee, 2008. "License Prices for Financially Constrained Firms," UFAE and IAE Working Papers 745.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Lewis, Tracy R & Sappington, David E M, 1989. "Inflexible Rules in Incentive Problems," American Economic Review, American Economic Association, vol. 79(1), pages 69-84, March.
  3. Bernhardt, Dan & Scoones, David, 1994. "A Note on Sequential Auctions," American Economic Review, American Economic Association, vol. 84(3), pages 653-57, June.
  4. Kala Krishna, 1999. "Auctions with endogenous valuations: the snowball effect revisited," Economic Theory, Springer, vol. 13(2), pages 377-391.
  5. Gian Luca Clementi & Hugo Hopenhagn, 2004. "A Theory of Financing Constraints and Firm Dynamics," Working Papers 04-25, New York University, Leonard N. Stern School of Business, Department of Economics.
  6. Pitchik, Carolyn & Schotter, Andrew, 1986. "Perfect Equilibria in Budget Constrained Sequential Auctions: An Experimental Study," Working Papers 86-22, C.V. Starr Center for Applied Economics, New York University.
  7. Genesove, David, 1993. "Adverse Selection in the Wholesale Used Car Market," Journal of Political Economy, University of Chicago Press, vol. 101(4), pages 644-65, August.
  8. Hendricks, Kenneth & Porter, Robert H, 1992. "Joint Bidding in Federal OCS Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 506-11, May.
  9. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
  10. Pitchik, Carolyn & Schotter, Andrew, 1986. "Budget Constrained Sequential Auctions," Working Papers 86-21, C.V. Starr Center for Applied Economics, New York University.
  11. Steven Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 1987. "Financing Constraints and Corporate Investment," NBER Working Papers 2387, National Bureau of Economic Research, Inc.
  12. Krishna, K., 1990. "Auctions with Endogenous Valuations: The Persistence of Monopoly Revisited," Papers 472, Stockholm - International Economic Studies.
  13. Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Microeconomics 9903002, EconWPA.
  14. Gale, I. & Hausch, D., 1992. "Bottom-Fishing and Declining Prices in Sequential Auctions," Working papers 9215, Wisconsin Madison - Social Systems.
  15. Orley Ashenfelter & David Genesove, 1992. "Testing for Price Anomalies in Real Estate Auctions," NBER Working Papers 4036, National Bureau of Economic Research, Inc.
  16. Lewis, Tracy R. & Sappington, David E. M., 1989. "Countervailing incentives in agency problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 294-313, December.
  17. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
  18. Cramton, Peter C, 1995. "Money Out of Thin Air: The Nationwide Narrowband PCS Auction," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(2), pages 267-343, Summer.
  19. Whited, Toni M, 1992. " Debt, Liquidity Constraints, and Corporate Investment: Evidence from Panel Data," Journal of Finance, American Finance Association, vol. 47(4), pages 1425-60, September.
  20. John G. Riley & William Samuelson, 1979. "Optimal Auctions," UCLA Economics Working Papers 152, UCLA Department of Economics.
  21. Steven M. Fazzari & Bruce C. Petersen, 1993. "Working Capital and Fixed Investment: New Evidence on Financing Constraints," RAND Journal of Economics, The RAND Corporation, vol. 24(3), pages 328-342, Autumn.
  22. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  23. Fazzari, Steven M & Athey, Michael J, 1987. "Asymmetric Information, Financing Constraints, and Investment," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 481-87, August.
  24. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
  25. Richard Engelbrecht-Wiggans & Robert J. Weber, 1979. "An Example of a Multi-Object Auction Game," Management Science, INFORMS, vol. 25(12), pages 1272-1277, December.
  26. Hart, Oliver & Moore, John, 1995. "Debt and Seniority: An Analysis of the Role of Hard Claims in Constraining Management," American Economic Review, American Economic Association, vol. 85(3), pages 567-85, June.
  27. Gale, Ian L. & Stegeman, Mark, 2001. "Sequential Auctions of Endogenously Valued Objects," Games and Economic Behavior, Elsevier, vol. 36(1), pages 74-103, July.
  28. Wedad Elmaghraby, 2003. "The Importance of Ordering in Sequential Auctions," Management Science, INFORMS, vol. 49(5), pages 673-682, May.
  29. Swinkels, J., 1990. "Multi-Unit, Multi-Period Auctions. Supply Uncertaincy Of Symetric Equilibria," Papers 115, Princeton, Department of Economics - Financial Research Center.
  30. Black, Jane & De Meza, David, 1992. "Systematic Price Differences between Successive Auctions Are No Anomaly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(4), pages 607-28, Winter.
  31. Benoit, Jean-Pierre & Krishna, Vijay, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 155-79, January.
  32. Engelbrecht-Wiggans, R. & Menezes, F., 1993. "Sequential Auction with Continuation Costs," Papers 255, Australian National University - Department of Economics.
  33. Thomas R. Palfrey, 1980. "Multiple-Object, Discriminatory Auctions with Bidding Constraints: A Game-Theoretic Analysis," Management Science, INFORMS, vol. 26(9), pages 935-946, September.
  34. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
  35. Menezes, Flavio M., 1996. "Multiple-unit English auctions," European Journal of Political Economy, Elsevier, vol. 12(4), pages 671-684, December.
  36. Inessa Love, 2003. "Financial Development and Financing Constraints: International Evidence from the Structural Investment Model," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 765-791, July.
  37. Menezes, F.M., 1993. "Ascending-Price Multiple-Object Auctions," Papers 254, Australian National University - Department of Economics.
  38. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
  39. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
  40. Archishman Chakraborty & Nandini Gupta & Rick Harbaugh, 2000. "Best Foot Forward or Best for Last in a Sequential Auction?," Claremont Colleges Working Papers 2000-43, Claremont Colleges.
  41. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  42. Robert J. Weber, 1981. "Multiple-Object Auctions," Discussion Papers 496, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  43. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  44. Che, Yeon-Koo & Gale, Ian, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 1-21, January.
  45. Gale Ian L. & Hausch Donald B., 1994. "Bottom-Fishing and Declining Prices in Sequential Auctions," Games and Economic Behavior, Elsevier, vol. 7(3), pages 318-331, November.
  46. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
  47. Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-99, November.
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:tor:tecipa:tecipa-342. 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: (RePEc Maintainer)

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.