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Asymptotic Efficiency for Discriminatory Private Value Auctions

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  • Swinkels, Jeroen M

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 symmetry of equilibrium play are made. Because of this, equilibria will typically involve inefficient allocations. Equilibria also become very difficult to solve for. Using an approach which does not depend on explicit equilibrium calculations we show that such auctions become arbitrarily close to efficient as the number of players, and possibly the number of objects, grows large, and provide a simple characterization of limit equilibria. Copyright 1999 by The Review of Economic Studies Limited.

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Bibliographic Info

Article provided by Wiley Blackwell in its journal Review of Economic Studies.

Volume (Year): 66 (1999)
Issue (Month): 3 (July)
Pages: 509-28

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Handle: RePEc:bla:restud:v:66:y:1999:i:3:p:509-28

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Cited by:
  1. In-Koo Cho, 2004. "Monotonicity and Rationalizability in Large Uniform Price and Double Auctions," Theory workshop papers 658612000000000076, UCLA Department of Economics.
  2. Sophie Thoyer & Atakelty Hailu, 2005. "Multi-Unit Auctions to Allocate Water Scarcity Simulating bidding behaviour with agent based models," Working Papers 05-01, LAMETA, Universtiy of Montpellier, revised Jan 2005.
  3. Cassola, N. & Ewerhart , C. & Valla, N., 2006. "Declining Valuations and Equilibrium Bidding Central Bank Refinancing Operations," Working papers 151, Banque de France.
  4. Emiel Maasland & Sander Onderstal, 2006. "Going, Going, Gone! A Swift Tour of Auction Theory and Its Applications," De Economist, Springer, vol. 154(3), pages 481-481, September.
  5. 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.
  6. 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.
  7. Ewerhart, Christian & Cassola, Nuno & Valla, Natacha, 2006. "Declining valuations and equilibrium bidding in central bank refinancing operations," Working Paper Series 0668, European Central Bank.
  8. 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.
  9. Atakelty Hailu & Sophie Thoyer, 2006. "Multi-unit auction format design," Journal of Economic Interaction and Coordination, Springer, vol. 1(2), pages 129-146, November.
  10. Monostori, Zoltan, 2013. "Diszkriminatív áras és egyenáras aukciók
    [Discriminatory versus uniform-price auctions]
    ," MPRA Paper 54254, University Library of Munich, Germany, revised Apr 2013.
  11. 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.
  12. 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.
  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. Ewerhart, Christian & Cassola, Nuno & Valla, Natacha, 2005. "Equilibrium and inefficiency in fixed rate tenders," Working Paper Series 0554, European Central Bank.
  15. Bresky, Michal, 2013. "Revenue and efficiency in multi-unit uniform-price auctions," Games and Economic Behavior, Elsevier, vol. 82(C), pages 205-217.
  16. 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).
  17. 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.

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