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Affliation in Multi-Unit Auctions

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Author Info
Ahmed Anwar ()

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Abstract

We extend Milgrom and Weber’s affiliated valuations model to the multi-unit case with constant marginal valuations where 2 bidders compete for k identical objects. We show that the discriminatory auction has a unique equilibrium, that corresponds to Milgrom and Weber’s firstprice equilibrium. This unique equilibrium therefore leads to lower expected prices than the equilibrium of the English auction where the units are bundled together. Hence we show that in a common value auction of a single object where the object can be divided into k parts, it is not possible to increase revenue by using a multi-unit discriminatory auction. We discuss a possible application to Treasury auctions.

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Publisher Info
Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 58.

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Length: 16
Date of creation: Apr 2004
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Handle: RePEc:edn:esedps:58

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Related research
Keywords: Affiliated Valuations; Multi-Unit Auctions; Treasury Auctions.;

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

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References listed on IDEAS
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  1. Noussair, Charles, 1995. "Equilibria in a Multi-object Uniform Price Sealed Bid Auction with Multi-unit Demands," Economic Theory, Springer, vol. 5(2), pages 337-51, March.
  2. Wilson, Robert, 1979. "Auctions of Shares," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 675-89, November. [Downloadable!] (restricted)
  3. Lawrence M. Ausubel & Peter Cramton, 1995. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Papers of Peter Cramton 98wpdr, University of Maryland, Department of Economics - Peter Cramton, revised 22 Jul 2002. [Downloadable!]
  4. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(4), pages 733-64. [Downloadable!] (restricted)
  5. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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