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A Note on Revenue Maximization and Efficiency in Multi-Object Auctions

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Author Info
Jehiel, Phillipe () (ENPC, CERAS, Paris and UCL, London)
Moldovanu, Benny () (Department of Economics, University of Mannheim, Germany)

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Abstract

We consider an auction with risk neutral agents having independent private valuations for several heterogenous objects. Most of the literature on revenue-maximizing auctions has focused on the sale of one good or on the sale of several identical units (thus yielding one-dimensional informational models). Two reasons for inefficiency in revenue-maximizing auctions have been identified 1) The (monopolist) seller can increase revenue by restricting supply. 2) A revenue maximizing seller will sell to bidders with the highest ''virtual'' valuations (see Myerson, 1981). Virtual valuations are adjusted valuations that take into account bidders' informational rents, and depend on the distribution of private information. Asymmetries among bidders (and possibly other properties of these distributions) drive a wedge between virtual and true valuations, leading to inefficiencies (see Ausubel and Cramton, 1998 for a recent discussion of these issues). Our purpose here is to illustrate in the simplest possible way that a revenue-maximizing seller of several heterogenous objects has incentives to ''misallocate'' the sold objects even in symmetric settings, and no matter what the (symmetric) function governing the distribution of private information is. This inefficiency result should be contrasted with the efficiency result in Armstrong (1998) that applies only to some cases with discrete distributions of valuations.

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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 99-73.

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Length: 4 pages
Date of creation: 15 May 1999
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Handle: RePEc:xrs:sfbmaa:99-73

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Page Jr., Frank H., 1998. "Existence of optimal auctions in general environments," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 389-418, May. [Downloadable!] (restricted)
  2. Armstrong, Mark, 2000. "Optimal Multi-object Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 455-81, July.
  3. Palfrey, Thomas R, 1983. "Bundling Decisions by a Multiproduct Monopolist with Incomplete Information," Econometrica, Econometric Society, vol. 51(2), pages 463-83, March. [Downloadable!] (restricted)
  4. Lawrence M. Ausubel & Peter Cramton, 1998. "The Optimality of Being Efficient," Papers of Peter Cramton 98wpoe, University of Maryland, Department of Economics - Peter Cramton, revised 18 Jun 1999. [Downloadable!]
  5. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April. [Downloadable!] (restricted)
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  6. Engelbrecht-Wiggans, Richard, 1988. "Revenue equivalence in multi-object auctions," Economics Letters, Elsevier, vol. 26(1), pages 15-19. [Downloadable!] (restricted)
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  1. Sandro Brusco & Giuseppe Lopomo, 2004. "Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities," Levine's Bibliography 122247000000000385, UCLA Department of Economics. [Downloadable!]
    Other versions:
  2. Jehiel, Philippe & Meyer-Ter-Vehn, Moritz & Moldovanu, Benny, 2006. "Mixed Bundling Auctions," CEPR Discussion Papers 5566, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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    • Philippe Jehiel & Moritz Meyer-Ter-Vehn & Benny Moldovanu, 2006. "Mixed Bundling Auctions," Levine's Bibliography 122247000000001123, UCLA Department of Economics. [Downloadable!]
    • Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2006. "Mixed Bundling Auctions," Discussion Papers 141, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
    • Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny, 2007. "Mixed bundling auctions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 494-512, May. [Downloadable!] (restricted)
  3. Domenico Menicucci, 2001. "Optimal two-object auctions with synergies," ICER Working Papers - Applied Mathematics Series 18-2001, ICER - International Centre for Economic Research. [Downloadable!]
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  4. Nicolas Figueroa & Vasiliki Skreta, 2006. "The Role of Outside Options in Auction Design," Levine's Bibliography 321307000000000140, UCLA Department of Economics. [Downloadable!]
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  5. Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Papers 142, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
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  6. 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!]
    Other versions:
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