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Budget-Constrained Sequential Auctions with Incomplete Information

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  • Carolyn Pitchik

Abstract

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. Parameters permit the existence of multiple equilibrium symmetric bidding functions 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 is higher when good α is sold first.

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Bibliographic Info

Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-230.

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Length: 35 pages
Date of creation: 21 Apr 2006
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-230

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Keywords: sequential auctions; budget constraints; efficiency; revenue; price; sequence.;

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References

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  1. Carolyn Pitchik, 2008. "Budget-Constrained Sequential Auctions with Incomplete Information," Working Papers tecipa-342, University of Toronto, Department of Economics.
  2. Carolyn Pitchik & Andrew Schotter, 1988. "Perfect Equilibria in Budget-Constrained Sequential Auctions: An Experimental Study," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 363-388, Autumn.
  3. 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).
  4. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  5. 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.
  6. Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Economics Series Working Papers 1999-W12, University of Oxford, Department of Economics.
  7. Ashenfelter, O. & Genesove, D., 1992. "Testing for Price Anomalies in Real Estate Auctions," Working papers 92-2, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. Jean-Pierre Benoit & Vijay Krishna, 1998. "Multiple-Object Auctions with Budget Constrained Bidders," Game Theory and Information 9805001, EconWPA, revised 26 Jul 1999.
  9. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  10. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
  11. Swinkels, J., 1990. "Multi-Unit, Multi-Period Auctions. Supply Uncertaincy Of Symetric Equilibria," Papers 115, Princeton, Department of Economics - Financial Research Center.
  12. Roger B. Myerson & Mark A. Satterthwaite, 1981. "Efficient Mechanisms for Bilateral Trading," Discussion Papers 469S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Bernhardt, Dan & Scoones, David, 1994. "A Note on Sequential Auctions," American Economic Review, American Economic Association, vol. 84(3), pages 653-57, June.
  14. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
  15. 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.
  16. Gian Luca Clementi & Hugo Hopenhayn, 2002. "A Theory of Financing Constraints and Firm Dynamics," RCER Working Papers 492, University of Rochester - Center for Economic Research (RCER).
  17. Kala Krishna, 1999. "Auctions with endogenous valuations: the snowball effect revisited," Economic Theory, Springer, vol. 13(2), pages 377-391.
  18. 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.
  19. Steven Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 1987. "Financing Constraints and Corporate Investment," NBER Working Papers 2387, National Bureau of Economic Research, Inc.
  20. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. Engelbrecht-Wiggans, R. & Menezes, F., 1993. "Sequential Auction with Continuation Costs," Papers 255, Australian National University - Department of Economics.
  26. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-92, June.
  27. Menezes, F.M., 1993. "Ascending-Price Multiple-Object Auctions," Papers 254, Australian National University - Department of Economics.
  28. Gale, I. & Hausch, D., 1992. "Bottom-Fishing and Declining Prices in Sequential Auctions," Working papers 9215, Wisconsin Madison - Social Systems.
  29. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
  30. Peter Cramton, 1995. "Money Out of Thin Air: The Nationwide Narrowband PCS Auction," Papers of Peter Cramton 95jems, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
  31. Oliver Hart & John Moore, 1994. "Debt and Seniority: An Analysis of the Role of Hard Claims in Constraining Management," NBER Working Papers 4886, National Bureau of Economic Research, Inc.
  32. 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.
  33. Menezes, Flavio M., 1996. "Multiple-unit English auctions," European Journal of Political Economy, Elsevier, vol. 12(4), pages 671-684, December.
  34. Wedad Elmaghraby, 2003. "The Importance of Ordering in Sequential Auctions," Management Science, INFORMS, vol. 49(5), pages 673-682, May.
  35. Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-99, November.
  36. Robert J. Weber, 1981. "Multiple-Object Auctions," Discussion Papers 496, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  37. 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.
  38. 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.
  39. 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.
  40. Krishna, K., 1990. "Auctions with Endogenous Valuations: The Persistence of Monopoly Revisited," Papers 472, Stockholm - International Economic Studies.
  41. 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.
  42. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
  43. 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.
  44. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
  45. 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.
  46. Gale, Ian L. & Stegeman, Mark, 2001. "Sequential Auctions of Endogenously Valued Objects," Games and Economic Behavior, Elsevier, vol. 36(1), pages 74-103, July.
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Citations

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Cited by:
  1. Carolyn Pitchik, 2008. "Budget-Constrained Sequential Auctions with Incomplete Information," Working Papers tecipa-342, University of Toronto, Department of Economics.
  2. Verwer, S. & Zhang, Y., 2011. "Revenue Prediction in Budget-constrained Sequential Auctions with Complementarities," ERIM Report Series Research in Management ERS-2011-020-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
  3. Adamo, Tim & Matros, Alexander, 2009. "A Blotto game with Incomplete Information," Economics Letters, Elsevier, vol. 105(1), pages 100-102, October.
  4. Todd R. Kaplan & Shmuel Zamir, 2014. "Advances in Auctions," Discussion Paper Series dp662, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  5. Megidish, Reut & Sela, Aner, 2011. "Sequential Contests with Synergy and Budget Constraints," CEPR Discussion Papers 8383, C.E.P.R. Discussion Papers.
  6. Paul Pezanis-Christou, 2013. "Asymmetric Multiple-Object First-Price Auctions," School of Economics Working Papers 2013-07, University of Adelaide, School of Economics.
  7. Kala Krishna, 1999. "Auctions with endogenous valuations: the snowball effect revisited," Economic Theory, Springer, vol. 13(2), pages 377-391.
  8. Talman, A.J.J. & Yang, Z.F., 2011. "An Efficient Multi-Item Dynamic Auction with Budget Constrained Bidders," Discussion Paper 2011-096, Tilburg University, Center for Economic Research.
  9. Masili, Gustavo, 2006. "Auction with aftermarket for budget constrained bidders," MPRA Paper 2134, University Library of Munich, Germany.
  10. Konrad, Kai A., 2010. "Information alliances in contests with budget limits," Discussion Papers, Research Professorship & Project "The Future of Fiscal Federalism" SP II 2010-21, Social Science Research Center Berlin (WZB).
  11. Dolf Talman & Zaifu Yang, 2013. "An Efficient Multi-Item Dynamic Auction with Budget Constrained Bidders," Discussion Papers 13/31, Department of Economics, University of York.
  12. Reut Megidish & Aner Sela, 2014. "Sequential contests with synergy and budget constraints," Social Choice and Welfare, Springer, vol. 42(1), pages 215-243, January.
  13. Che, Yeon-Koo & Gale, Ian & Kim, Jinwoo, 2013. "Efficient assignment mechanisms for liquidity-constrained agents," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 659-665.
  14. Beker, Pablo & Hernando-Veciana, Angel, 2013. "Bidding Markets with Financial Constraints," The Warwick Economics Research Paper Series (TWERPS) 1017, University of Warwick, Department of Economics.
  15. Kovenock, Dan & Roberson, Brian, 2011. "A Blotto game with multi-dimensional incomplete information," Economics Letters, Elsevier, vol. 113(3), pages 273-275.
  16. Aner Sela & Reut Megidish, 2012. "Sequential Contests With Synergy And Budget Constraints," Working Papers 1212, Ben-Gurion University of the Negev, Department of Economics.

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