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Mixed Bundling Auctions

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  • Philippe Jehiel
  • Moritz Meyer-Ter-Vehn
  • Benny Moldovanu

Abstract

We study multi-object auctions where agents have private and additive valuations for heterogeneous objects. We focus on the revenue properties of a class of dominant strategy mechanisms where a weight is assigned to each partition of objects. The weights influence the probability with which partitions are chosen in the mechanism. This class contains efficient auctions, pure bundling auctions, mixed bundling auctions, auctions with reserve prices and auctions with pre-packaged bundles. For any number of objects and bidders, both the pure bundling auction and separate, efficient auctions for the single objects are revenue-inferior to an auction that involves mixed bundling.

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Bibliographic Info

Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 122247000000001123.

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Date of creation: 08 Feb 2006
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Handle: RePEc:cla:levrem:122247000000001123

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  1. Palfrey, Thomas R, 1983. "Bundling Decisions by a Multiproduct Monopolist with Incomplete Information," Econometrica, Econometric Society, vol. 51(2), pages 463-83, March.
  2. Gui,Hongwei & Müller,Rudolf & Vohra,Rakesh, 2004. "Dominant Strategy Mechanisms with Multidimensional Types," Research Memorandum 047, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. Jehiel, Phillipe & Moldovanu, Benny & Stacchetti, E., 1997. "Multidimensional Mechanism Design for Auctions with Externalities," Sonderforschungsbereich 504 Publications 97-04, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  4. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  5. John G. Riley & William Samuelson, 1979. "Optimal Auctions," UCLA Economics Working Papers 152, UCLA Department of Economics.
  6. McAfee, R Preston & McMillan, John & Whinston, Michael D, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 371-83, May.
  7. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-44, September.
  8. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  10. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
  11. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
  12. Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April.
  13. Indranil Chakraborty, 1999. "Bundling decisions for selling multiple objects," Economic Theory, Springer, vol. 13(3), pages 723-733.
  14. Avery, Christopher & Hendershott, Terrence, 2000. "Bundling and Optimal Auctions of Multiple Products," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 483-97, July.
  15. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  16. Armstrong, Mark, 2000. "Optimal Multi-object Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 455-81, July.
  17. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  18. Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-90, October.
  19. Adams, William James & Yellen, Janet L, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, MIT Press, vol. 90(3), pages 475-98, August.
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Citations

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Cited by:
  1. Sergiu Hart & Noam Nisan, 2012. "Approximate Revenue Maximization with Multiple Items," Levine's Working Paper Archive 786969000000000433, David K. Levine.
  2. Gerrit Frackenpohl & Gert Pönitzsch, 2013. "Bundling Public with Private Goods," Bonn Econ Discussion Papers bgse05_2013, University of Bonn, Germany.
  3. Miravete, Eugenio J., 2011. "Convolution and composition of totally positive random variables in economics," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 479-490.
  4. Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 784828000000000490, UCLA Department of Economics.
  5. Marco Pagnozzi, 2007. "Resale and Bundling in Auctions," CSEF Working Papers 186, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  6. Bo Chen, 2013. "Assignment Games with Externalities And Matching-Based Competition," Bonn Econ Discussion Papers bgse08_2013, University of Bonn, Germany.
  7. Chakraborty, Indranil, 2006. "Bundle and separate sales in auctions with entry," Games and Economic Behavior, Elsevier, vol. 54(1), pages 31-46, January.
  8. Chakraborty, Indranil & Shyamalkumar, Nariankadu D., 2014. "Revenue and efficiency ranking in large multi-unit and bundle auctions," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 12-21.

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