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Multi-item Vickrey-Dutch auctions

Author

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  • Debasis Mishra

    (Indian Statistical Institute, New Delhi)

  • David C. Parkes

    () (School of Engineering and Applied Sciences, Harvard University, Cambridge)

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 ex post 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 ex post efficient allocation. In simulation, we illustrate the speed and elicitation advantages of these auctions over their ascending price counterparts.

Suggested Citation

  • Debasis Mishra & David C. Parkes, 2007. "Multi-item Vickrey-Dutch auctions," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 07-04, Indian Statistical Institute, New Delhi, India.
  • Handle: RePEc:ind:isipdp:07-04
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    File URL: http://www.isid.ac.in/~pu/dispapers/dp07-04.pdf
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Erlanson, Albin, 2011. "The Multi-item Bisection Auction," Working Papers 2011:31, Lund University, Department of Economics.
    2. 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.
    3. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2016. "Transferring ownership of public housing to existing tenants: A market design approach," Journal of Economic Theory, Elsevier, vol. 165(C), pages 643-671.
    4. Ehlers, Lars & Svensson, Lars-Gunnar & Andersson, Tommy, 2014. "Budget-balance, fairness and minimal manipulability," Theoretical Economics, Econometric Society, vol. 9(3), September.
    5. repec:jmi:articl:jmi-v1i1a5 is not listed on IDEAS
    6. Andersson, Tommy & Andersson, Christer & Talman, Adolphus Johannes Jan, 2010. "Sets in Excess Demand in Ascending Auctions with Unit-Demand Bidders," Working Papers 2010:15, Lund University, Department of Economics, revised 28 Jun 2012.
    7. repec:eee:indorg:v:53:y:2017:i:c:p:63-98 is not listed on IDEAS
    8. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
    9. Andersson, Tommy & Erlanson, Albin, 2013. "Multi-item Vickrey–English–Dutch auctions," Games and Economic Behavior, Elsevier, vol. 81(C), pages 116-129.
    10. Lamy, Laurent, 2012. "On minimal ascending auctions with payment discounts," Games and Economic Behavior, Elsevier, vol. 75(2), pages 990-999.
    11. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
    12. Albin Erlanson, 2014. "The Duo-Item Bisection Auction," Computational Economics, Springer;Society for Computational Economics, vol. 43(1), pages 15-31, January.
    13. repec:jmi:articl:jmi-v2i1a4 is not listed on IDEAS
    14. ANDERSSON, Tommy & EHLERS, Lars & LARS-GUNNAR, Svensson, 2014. "Transferring ownership of public housing to existing tenants: a mechanism design," Cahiers de recherche 2014-05, Universite de Montreal, Departement de sciences economiques.
    15. Kazuo Murota & Akiyoshi Shioura & Zaifu Yang, 2014. "Time Bounds for Iterative Auctions: A Unified Approach by Discrete Convex Analysis," Discussion Papers 14/27, Department of Economics, University of York.
    16. 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.
    17. Andersson, Tommy & Svensson, Lars-Gunnar, 2018. "Sequential rules for house allocation with price restrictions," Games and Economic Behavior, Elsevier, vol. 107(C), pages 41-59.
    18. Dobzinski, Shahar & Lavi, Ron & Nisan, Noam, 2012. "Multi-unit auctions with budget limits," Games and Economic Behavior, Elsevier, vol. 74(2), pages 486-503.
    19. Tommy Andersson & Christer Andersson, 2012. "Properties of the DGS-Auction Algorithm," Computational Economics, Springer;Society for Computational Economics, vol. 39(2), pages 113-133, February.

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