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Ascending Auctions with Package Bidding

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Lawrence M. Ausubel
Paul Milgrom

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Abstract

March 2002

A family of ascending package auction models is introduced in which bidders may determine their own packages on which to bid. In the proxy auction (revelation game) versions, the outcome is a point in the core of the exchange economy for the reported preferences. When payoffs are linear in money and goods are substitutes, sincere reporting constitutes a Nash equilibrium and the outcome coincides with the Vickrey auction outcome. Even when goods are not substitutes, ascending proxy auction equilibria lie in the core with respect to the true preferences. Compared to the Vickrey auction, the proxy auctions generate higher equilibrium revenues, are less vulnerable to collusion, can handle budget constraints much more robustly, and may provide better ex ante investment incentives.

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Paper provided by Stanford University, Department of Economics in its series Working Papers with number 02004.

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Date of creation: Mar 2002
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Handle: RePEc:wop:stanec:02004

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  1. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-43, June. [Downloadable!] (restricted)
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  3. Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 6(3), pages 497-527, 09. [Downloadable!] (restricted)
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  4. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March. [Downloadable!] (restricted)
  5. Charles R. Plott, 1997. "Laboratory Experimental Testbeds: Application to the PCS Auction," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 6(3), pages 605-638, 09. [Downloadable!] (restricted)
  6. S.J. Rassenti & V.L. Smith & R.L. Bulfin, 1982. "A Combinatorial Auction Mechanism for Airport Time Slot Allocation," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 402-417, Autumn. [Downloadable!] (restricted)
  7. Jeffrey S. Banks & John O. Ledyard & David P. Porter, 1989. "Allocating Uncertain and Unresponsive Resources: An Experimental Approach," RAND Journal of Economics, The RAND Corporation, vol. 20(1), pages 1-25, Spring. [Downloadable!] (restricted)
  8. Cantillon, Estelle & Pesendorfer, Martin, 2007. "Combination Bidding in Multi-Unit Auctions," CEPR Discussion Papers 6083, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  10. Robert J. Weber, 1997. "Making More from Less: Strategic Demand Reduction in the FCC Spectrum Auctions," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 6(3), pages 529-548, 09. [Downloadable!] (restricted)
  11. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February. [Downloadable!] (restricted)
  12. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-72, July. [Downloadable!] (restricted)
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  13. Brewer, Paul J. & Plott, Charles R., 1996. "A binary conflict ascending price (BICAP) mechanism for the decentralized allocation of the right to use railroad tracks," International Journal of Industrial Organization, Elsevier, vol. 14(6), pages 857-886, October. [Downloadable!] (restricted)
  14. Jeremy Bulow & Ming Huang & Paul Klemperer, 1999. "Toeholds and Takeovers," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 427-454, June. [Downloadable!] (restricted)
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  15. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier. [Downloadable!] (restricted)
  16. Che, Yeon-Koo & Gale, Ian, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Blackwell Publishing, vol. 65(1), pages 1-21, January. [Downloadable!] (restricted)
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  18. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July. [Downloadable!] (restricted)
  19. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April. [Downloadable!] (restricted)
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  20. McMillan, John, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-62, Summer. [Downloadable!] (restricted)
  21. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July. [Downloadable!] (restricted)
  22. Alvin E. Roth & Elliott Peranson, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," NBER Working Papers 6963, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  23. 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. [Downloadable!]
  24. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November. [Downloadable!] (restricted)
  25. Philippe Jehiel & Benny Moldovanu, 1996. "Strategic Nonparticipation," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 84-98, Spring. [Downloadable!] (restricted)
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  26. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December. [Downloadable!] (restricted)
  27. John O. Ledyard & David Porter & Antonio Rangel, 1997. "Experiments Testing Multiobject Allocation Mechanisms," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 6(3), pages 639-675, 09. [Downloadable!] (restricted)
  28. Bernheim, B Douglas & Whinston, Michael D, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 1-31, February. [Downloadable!] (restricted)
  29. Herbert E. Scarf, 1959. "Some Examples of Global Instability of the Competitive Equilibrium," Cowles Foundation Discussion Papers 79, Cowles Foundation, Yale University. [Downloadable!]
  30. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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  31. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-44, September. [Downloadable!] (restricted)
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