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Multi-item Vickrey–English–Dutch auctions

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  • Andersson, Tommy
  • Erlanson, Albin

Abstract

Assuming that bidders wish to acquire at most one item, this paper defines a polynomial time multi-item auction that locates the VCG prices in a finite number of iterations for any given starting prices. This auction is called the Vickrey–English–Dutch auction and it contains the Vickrey–English auction [Sankaran, J.K., 1994. On a dynamic auction mechanism for a bilateral assignment problem. Math. Soc. Sci. 28, 143–150] and the Vickrey–Dutch auction [Mishra, D., Parkes, D., 2009. Multi-item Vickrey–Dutch auctions. Games Econ. Behav. 66, 326–347] as special cases. By means of numerical experiments, it is showed that when the auctioneer knows the biddersʼ value distributions, the Vickrey–English–Dutch auction is weakly faster than the Vickrey–English auction and the Vickrey–Dutch auction in 89 percent and 99 percent, respectively, of the investigated problems. A greedy version of the Vickrey–English–Dutch auction is demonstrated to perform even better in the simulation studies.

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Bibliographic Info

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

Volume (Year): 81 (2013)
Issue (Month): C ()
Pages: 116-129

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Handle: RePEc:eee:gamebe:v:81:y:2013:i:c:p:116-129

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

Related research

Keywords: Polynomial time algorithms; Multi-item auctions; Unit-demand bidders; Iterations;

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References

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  1. Elena Grigorieva & P. Herings & Rudolf Müller & Dries Vermeulen, 2007. "The private value single item bisection auction," Economic Theory, Springer, vol. 30(1), pages 107-118, January.
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  3. Peter Cramton, 1998. "Ascending Auctions," Papers of Peter Cramton 98eer, University of Maryland, Department of Economics - Peter Cramton, revised 28 Jul 1998.
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  6. 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.
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  9. 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.
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  12. Tommy Andersson & Christer Andersson, 2012. "Properties of the DGS-Auction Algorithm," Computational Economics, Society for Computational Economics, vol. 39(2), pages 113-133, February.
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  16. Sankaran, Jayaram K., 1994. "On a dynamic auction mechanism for a bilateral assignment problem," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 143-150, October.
  17. 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.
  18. MISHRA, Debasis & PARKES, David C., 2005. "Ascending price Vickrey auctions for general valuations," CORE Discussion Papers 2005052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  19. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
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Cited by:
  1. Andersson, T. & Gudmundsson, J. & Talman, A.J.J. & Yang, Z., 2013. "A Competitive Partnership Formation Process," Discussion Paper 2013-008, Tilburg University, Center for Economic Research.

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