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Asymptotic Efficiency for Discriminatory Private Value Auctions

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Author Info
Jeroen M. Swinkels

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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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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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Related research
Keywords: Auctions Discriminatory Auction First Price Auction Asymmetry Efficiency Asymptotic Efficiency Large Auctions.

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

Cited by:
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  1. Jackson, Matthew O. & Swinkels, Jeroen M., 1999. "Existence of Equilibrium in Auctions and Discontinuous Bayesian Games: Endogenous and Incentive Compatibility Sharing Rules," Working Papers 1075, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  2. 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. [Downloadable!]
  3. 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). [Downloadable!]
  4. In-Koo Cho, 2004. "Monotonicity and Rationalizability in Large Uniform Price and Double Auctions," Theory workshop papers 658612000000000076, UCLA Department of Economics. [Downloadable!]
  5. Qinghua Zhang, 2004. "Multiple-Object Auctions Around a Circle," Topics in Theoretical Economics, Berkeley Electronic Press, vol. 4(1), pages 1120-1120. [Downloadable!] (restricted)
  6. Christian Ewerhart & Nuno Cassola & Natacha Valla, 2005. "Equilibrium and inefficiency in fixed rate tenders," Working Paper Series 554, European Central Bank. [Downloadable!]
  7. Jackson, Matthew O. & Kremer, Ilan, 2002. "On the Concentration of Allocations and Comparisons of Auctions in Large Economies," Working Papers 1146, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  8. Atakelty Hailu & Sophie Thoyer, 2006. "Multi-unit auction format design," Journal of Economic Interaction and Coordination, Springer, vol. 1(2), pages 129-146, November. [Downloadable!] (restricted)
  9. Jackson, Matther O. & Ilan Kremer, 2004. "The Relevance of a Choice of Auction Format in a Competitive Environment," Working Papers 1190, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  10. Christian Ewerhart & Nuno Cassola & Natacha Valla, 2006. "Declining valuations and equilibrium bidding in central bank refinancing operations," Working Paper Series 668, European Central Bank. [Downloadable!]
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