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Multi-item Vickrey-Dutch auctions

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  • Mishra, Debasis
  • Parkes, David C.

Abstract

Descending price auctions are adopted for goods that must be sold quickly and in private values environments, for instance in flower, fish, and tobacco auctions. In this paper, we introduce efficient descending auctions for two environments: multiple non-identical items and buyers with unit-demand valuations; and multiple identical items and buyers with non-increasing marginal values. Our auctions are designed using the notion of universal competitive equilibrium (UCE) prices and they terminate with UCE prices, from which the Vickrey payments can be determined. For the unit-demand setting, our auction maintains linear and anonymous prices. For the homogeneous items setting, our auction maintains a single price and adopts Ausubel's notion of "clinching" to compute the final payments dynamically. The auctions support truthful bidding in an ex post Nash equilibrium and terminate with an efficient allocation. In simulation, we illustrate the speed and elicitation advantages of these auctions over their ascending price counterparts.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 66 (2009)
Issue (Month): 1 (May)
Pages: 326-347

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Handle: RePEc:eee:gamebe:v:66:y:2009:i:1:p:326-347

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Web page: http://www.elsevier.com/locate/inca/622836

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References

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  1. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
  2. de Vries, Sven & Schummer, James & Vohra, Rakesh V., 2007. "On ascending Vickrey auctions for heterogeneous objects," Journal of Economic Theory, Elsevier, vol. 132(1), pages 95-118, January.
  3. 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.
  4. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  5. Gerard J. van den Berg & Jan C. van Ours & Menno P. Pradhan, 2001. "The Declining Price Anomaly in Dutch Dutch Rose Auctions," American Economic Review, American Economic Association, vol. 91(4), pages 1055-1062, September.
  6. Peter Cramton, 1998. "Ascending Auctions," Papers of Peter Cramton 98eer, University of Maryland, Department of Economics - Peter Cramton, revised 28 Jul 1998.
  7. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, 06.
  8. Mishra, Debasis & Garg, Rahul, 2006. "Descending price multi-item auctions," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 161-179, April.
  9. Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
  10. Mishra, Debasis & Veeramani, Dharmaraj, 2007. "Vickrey-Dutch procurement auction for multiple items," European Journal of Operational Research, Elsevier, vol. 180(2), pages 617-629, July.
  11. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
  12. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
  13. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June.
  14. Nisan, Noam & Segal, Ilya, 2006. "The communication requirements of efficient allocations and supporting prices," Journal of Economic Theory, Elsevier, vol. 129(1), pages 192-224, July.
  15. Bikhchandani, Sushil & Ostroy, Joseph M., 2006. "Ascending price Vickrey auctions," Games and Economic Behavior, Elsevier, vol. 55(2), pages 215-241, May.
  16. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
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Citations

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Cited by:
  1. Mishra, Debasis & Talman, Dolf, 2010. "Characterization of the Walrasian equilibria of the assignment model," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 6-20, January.
  2. Ehlers, Lars & Svensson, Lars-Gunnar & Andersson, Tommy, 0. "Budget-balance, fairness and minimal manipulability," Theoretical Economics, Econometric Society.
  3. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
  4. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
  5. Andersson, Tommy & Erlanson, Albin, 2012. "Multi-Item Vickery-English-Dutch Auctions," Working Papers 2012:17, Lund University, Department of Economics, revised 15 Jan 2013.
  6. repec:hal:wpaper:halshs-00575076 is not listed on IDEAS
  7. Albin Erlanson, 2014. "The Duo-Item Bisection Auction," Computational Economics, Society for Computational Economics, vol. 43(1), pages 15-31, January.
  8. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2014. "Transferring Ownership of Public Housing to Existing Tenants: A Mechanism Design Approach," Working Papers 2014:23, Lund University, Department of Economics.
  9. Dobzinski, Shahar & Lavi, Ron & Nisan, Noam, 2012. "Multi-unit auctions with budget limits," Games and Economic Behavior, Elsevier, vol. 74(2), pages 486-503.
  10. Tommy Andersson & Christer Andersson, 2012. "Properties of the DGS-Auction Algorithm," Computational Economics, Society for Computational Economics, vol. 39(2), pages 113-133, February.
  11. Lamy, Laurent, 2012. "On minimal ascending auctions with payment discounts," Games and Economic Behavior, Elsevier, vol. 75(2), pages 990-999.
  12. Erlanson, Albin, 2011. "The Multi-item Bisection Auction," Working Papers 2011:31, Lund University, Department of Economics.

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