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Asymptotic Efficiency for Discriminatory Private Value Auctions

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  • Jeroen M. Swinkels

Abstract

We consider discriminatory auctions for multiple identical units of a good. Players have private values, possibly for multiple units. None of the usual assumptions about symmetry of players' distributions over values or of their equilibrium play are made. Because of this, equilibria will typically involve inefficiency: objects may not end up in the hands of those who value them most. We show that, none the less, such auctions become arbitrarily close to efficient as the number of players, and possibly the number of objects, grows large.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1173.

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Date of creation: Oct 1996
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Handle: RePEc:nwu:cmsems:1173

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Web page: http://www.kellogg.northwestern.edu/research/math/
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Keywords: Auctions; Discriminatory Auction; First Price Auction; Asymmetry; Efficiency; Asymptotic Efficiency; Large Auctions.;

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Cited by:
  1. Aniruddha Bagchi & Brett Katzman & Timothy Mathews, 2014. "Second chance offers in auctions," Journal of Economics, Springer, vol. 112(1), pages 1-29, May.
  2. Cassola, N. & Ewerhart , C. & Valla, N., 2006. "Declining Valuations and Equilibrium Bidding Central Bank Refinancing Operations," Working papers 151, Banque de France.
  3. Ewerhart, Christian & Cassola, Nuno & Valla, Natacha, 2006. "Declining valuations and equilibrium bidding in central bank refinancing operations," Working Paper Series 0668, European Central Bank.
  4. Ewerhart, Christian & Cassola, Nuno & Valla, Natacha, 2005. "Equilibrium and inefficiency in fixed rate tenders," Working Paper Series 0554, European Central Bank.
  5. Emiel Maasland & Sander Onderstal, 2006. "Going, Going, Gone! A Swift Tour of Auction Theory and its Applications," De Economist, Springer, vol. 154(2), pages 197-249, June.
  6. Monostori, Zoltan, 2013. "Diszkriminatív áras és egyenáras aukciók
    [Discriminatory versus uniform-price auctions]
    ," MPRA Paper 54254, University Library of Munich, Germany, revised Apr 2013.
  7. Porter, David & Rassenti, Stephen & Shobe, William & Smith, Vernon & Winn, Abel, 2009. "The design, testing and implementation of Virginia's NOx allowance auction," Journal of Economic Behavior & Organization, Elsevier, vol. 69(2), pages 190-200, February.
  8. Brett E Katzman, 2009. "Asymptotic properties of equilibrium in discriminatory and uniform price ipv multi-unit auctions," Economics Bulletin, AccessEcon, vol. 29(2), pages 834-846.
  9. Michal Bresky, 2009. "Revenue and Efficiency in Multi-Unit Uniform-Price Auctions," CERGE-EI Working Papers wp384, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
  10. Flinkerbusch, Kai, 2011. "A more efficient procurement mechanism for reserver capacity in the German market for balancing power," CAWM Discussion Papers 52, Center of Applied Economic Research Münster (CAWM), University of Münster.
  11. Atakelty Hailu & Sophie Thoyer, 2005. "Multi-Unit Auctions to Allocate Water Scarcity Simulating Bidding Behaviour with Agent Based Models," Others 0512012, EconWPA.
  12. In-Koo Cho, 2004. "Monotonicity and Rationalizability in Large Uniform Price and Double Auctions," Theory workshop papers 658612000000000076, UCLA Department of Economics.
  13. Claudia Hitaj & Andrew Stocking, 2014. "Market Efficiency and the U.S. Market for Sulfur Dioxide Allowances: Working Paper 2014-01," Working Papers 45044, Congressional Budget Office.
  14. Atakelty Hailu & Sophie Thoyer, 2006. "Multi-unit auction format design," Journal of Economic Interaction and Coordination, Springer, vol. 1(2), pages 129-146, November.
  15. Kai Flinkerbusch, . "A more efficient procurement mechanism for reserve capacity in the German market for balancing power," Working Papers 201178, Institute of Spatial and Housing Economics, Munster Universitary.
  16. Diego García & Branko Urosevic, 2004. "Noise and aggregation of information in large markets," Economics Working Papers 785, Department of Economics and Business, Universitat Pompeu Fabra.
  17. Jianbo Zhang & Zhentang Zhang, 1999. "Asymptotic Efficiency in Stackelberg Markets with Incomplete Information," CIG Working Papers FS IV 99-07, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
  18. Atakelty Hailu & Sophie Thoyer, 2010. "What Format for Multi-Unit Multiple-Bid Auctions?," Computational Economics, Society for Computational Economics, vol. 35(3), pages 189-209, March.

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