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Optimal two-object auctions with synergies

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Author Info
Domenico Menicucci ()

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Abstract

We design the revenue-maximizing auction for two goods when each buyer has bi-dimensional private information and a superadditive utility function (i.e., a synergy is generated if a buyer wins both goods). In this setting the seller is likely to allocate the goods inefficiently with respect to an environ-ment with no synergies. In particular, if the synergy is large then it may occur that a buyer’s valuations for the goods weakly dominate the valuations of another buyer and the latter one receives the bundle. We link this fact, which contrasts with the results for a setting without synergies, to "non-regular" one-good models.

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Publisher Info
Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 18-2001.

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Length: 31 pages
Date of creation: Jan 2001
Date of revision:
Handle: RePEc:icr:wpmath:18-2001

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Related research
Keywords: Multiple-unit Auctions; Multi-dimensional Screening; Bundling;

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Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions

References listed on IDEAS
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  1. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January. [Downloadable!] (restricted)
  2. Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 6(3), pages 497-527, 09. [Downloadable!] (restricted)
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  3. Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February. [Downloadable!] (restricted)
  4. Armstrong, Mark, 2000. "Optimal Multi-object Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 455-81, July.
  5. Fernando Branco, 1996. "Multiple unit auctions of an indivisible good," Economic Theory, Springer, vol. 8(1), pages 77-101.
  6. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  7. Branco, Fernando, 1997. "Sequential auctions with synergies: An example," Economics Letters, Elsevier, vol. 54(2), pages 159-163, February. [Downloadable!] (restricted)
  8. Jehiel, Phillipe & Moldovanu, Benny, 1999. "A Note on Revenue Maximization and Efficiency in Multi-Object Auctions," Sonderforschungsbereich 504 Publications 99-73, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  9. Gale, Ian, 1990. "A multiple-object auction with superadditive values," Economics Letters, Elsevier, vol. 34(4), pages 323-328, December. [Downloadable!] (restricted)
  10. Rosenthal, Robert W. & Wang, Ruqu, 1996. "Simultaneous Auctions with Synergies and Common Values," Games and Economic Behavior, Elsevier, vol. 17(1), pages 32-55, November. [Downloadable!] (restricted)
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  11. Armstrong, Mark & Rochet, Jean-Charles, 1999. "Multi-dimensional screening:: A user's guide," European Economic Review, Elsevier, vol. 43(4-6), pages 959-979, April. [Downloadable!] (restricted)
  12. McAfee, R Preston & McMillan, John, 1996. "Analyzing the Airwaves Auction," Journal of Economic Perspectives, American Economic Association, vol. 10(1), pages 159-75, Winter. [Downloadable!] (restricted)
  13. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  14. repec:att:wimass:19908 is not listed on IDEAS
  15. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November. [Downloadable!] (restricted)
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  16. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-59, September.
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  17. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November. [Downloadable!] (restricted)
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  8. 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!]
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  9. Kumru, Cagri & Yektas, Hadi, 2008. "Optimal Multi-Object Auctions with Risk Averse Buyers," MPRA Paper 7575, University Library of Munich, Germany. [Downloadable!]
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