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Bundling and Optimal Auctions of Multiple Products

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Author Info
Avery, Christopher
Hendershott, Terrence

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Abstract

We study the optimal (i.e. revenue maximizing) auction of multiple products. We make three major points. First, we extend the relationship between price discrimination and optimal auctions from the single-product case to the multiple-product case. A monopolist setting prices for multiple products may offer discounts on purchases of bundles of products; similarly, the optimal auction of multiple products facilitates price discrimination by allocating products inefficiently to customers who are willing to purchase both products. Second, we demonstrate that optimal auctions are qualitatively distinct from monopoly sales of multiple products. Because of uncertainty about the values of other consumers, two products are bundled probabilistically in an optimal auction for a customer who is willing to buy both of them. A customer may then receive a discount on a lower-valued product without receiving a higher-valued product. Third, we show that in an optimal auction of two products the allocation of one product may vary with the amount of competition for the other product. Copyright 2000 by The Review of Economic Studies Limited

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Publisher Info
Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 67 (2000)
Issue (Month): 3 (July)
Pages: 483-97
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Handle: RePEc:bla:restud:v:67:y:2000:i:3:p:483-97

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  1. Estelle Cantillon, 2002. "Combination Bidding in Multi-Unit Auctions," Theory workshop papers 357966000000000091, UCLA Department of Economics. [Downloadable!]
  2. 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:
  3. Veronika Grimm, 2006. "Sequential versus Bundle Auctions for Recurring Procurement," Working Paper Series in Economics 27, University of Cologne, Department of Economics. [Downloadable!]
  4. Kumru, Cagri & Yektas, Hadi, 2008. "Optimal Multi-Object Auctions with Risk Averse Buyers," MPRA Paper 7575, University Library of Munich, Germany. [Downloadable!]
  5. Jehiel, Philippe & Meyer-Ter-Vehn, Moritz & Moldovanu, Benny, 2006. "Mixed Bundling Auctions," CEPR Discussion Papers 5566, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
    • 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)
  6. Nicolas Figueroa & Vasiliki Skreta, 2006. "The Role of Outside Options in Auction Design," Levine's Bibliography 321307000000000140, UCLA Department of Economics. [Downloadable!]
  7. Paul Klemperer, 2000. "Why Every Economist Should Learn Some Auction Theory," Microeconomics 0004009, EconWPA. [Downloadable!]
    Other versions:
  8. Cantillon, Estelle & Pesendorfer, Martin, 2007. "Combination Bidding in Multi-Unit Auctions," CEPR Discussion Papers 6083, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  9. Nicolás Figueroa & Vasiliki Skreta, 2007. "The Role of Outside Options in Auction Design," Documentos de Trabajo 231, Centro de Economía Aplicada, Universidad de Chile. [Downloadable!]
  10. 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!]
  11. Juan Feng, 2004. "Optimal Allocation Mechanisms When Bidders Ranking for the objects is common," Econometric Society 2004 North American Summer Meetings 545, Econometric Society. [Downloadable!]
  12. Ausubel, Lawerence M. & Cramton, Peter, 1998. "The optimality of being efficient : designing auctions," Policy Research Working Paper Series 1985, The World Bank. [Downloadable!]
  13. Eugenio J. Miravete, 2001. "Screening Through Bundling," Penn CARESS Working Papers 3b8e0b3847b08b90e8570987c, UCLA Department of Economics. [Downloadable!]
  14. Vasiliki Skreta & Nicolas Figueroa, 2008. "The Role of Outside Options in Auction Design," Working Papers 08-12, New York University, Leonard N. Stern School of Business, Department of Economics. [Downloadable!]
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