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Sets in Excess Demand in Ascending Auctions with Unit-Demand Bidders

  • Andersson, Tommy

    ()

    (Department of Economics, Lund University)

  • Andersson, Christer

    (Department of Economics, Lund University)

  • Talman, Adolphus Johannes Jan

    ()

    (CentER, Department of Econometrics and Operations Research, Tilburg University)

This paper analyzes the problem of selecting a set of items whose prices are to be updated in the next iteration in so called simple ascending auctions with unit-demand bidders. A family of sets called "sets in excess demand" is introduced, and the main results demonstrate that a simple ascending auction always terminates at the minimum Walrasian equilibrium prices if and only if the selection belongs to this family. The paper also specifies a number of properties of the family of sets in excess demand and relate previously proposed selections to it.

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File URL: http://project.nek.lu.se/publications/workpap/papers/WP10_15.pdf
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Paper provided by Lund University, Department of Economics in its series Working Papers with number 2010:15.

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Length: 15 pages
Date of creation: 17 Dec 2010
Date of revision: 28 Jun 2012
Publication status: Forthcoming as Andersson, Tommy, Christer Andersson and Adolphus Johannes Jan Talman, 'Sets in Excess Demand in Ascending Auctions with Unit-Demand Bidders' in Annals of Operations Research, 2013.
Handle: RePEc:hhs:lunewp:2010_015
Contact details of provider: Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/en

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  1. 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.
  2. Mishra, Debasis & Parkes, David C., 2009. "Multi-item Vickrey-Dutch auctions," Games and Economic Behavior, Elsevier, vol. 66(1), pages 326-347, May.
  3. 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.
  4. 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.
  5. Andersson, Tommy & Svensson, Lars-Gunnar, 2008. "Non-manipulable assignment of individuals to positions revisited," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 350-354, November.
  6. Atila Abdulkadiroglu & Tayfun Sonmez & M. Utku Unver, 2002. "Room Assignment-Rent Division: A Market Approach," Game Theory and Information 0202003, EconWPA, revised 26 Sep 2002.
  7. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-54, July.
  8. Mishra, D. & Talman, A.J.J., 2010. "Characterization of the Walrasian equilibria of the assignment model," Other publications TiSEM 3e249b02-c0f4-4ccf-bd37-f, Tilburg University, School of Economics and Management.
  9. Tommy Andersson & Christer Andersson, 2012. "Properties of the DGS-Auction Algorithm," Computational Economics, Society for Computational Economics, vol. 39(2), pages 113-133, February.
  10. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
  11. repec:ner:tilbur:urn:nbn:nl:ui:12-3764046 is not listed on IDEAS
  12. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July.
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