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Optimal Multi-Object Auctions with Risk Averse Buyers

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  • Kumru, Cagri
  • Yektas, Hadi

Abstract

We analyze the optimal auction of multiple non-identical objects when buyers are risk averse. We show that the auction formats that yield the maximum revenue in the risk neutral case are no longer optimal. In particular, selling the goods independently does not maximize the seller's revenue. We observe that seller's incentive for bundling arises solely due to the risk aversion of the buyers. The optimal auction which remains weakly efficient has the following properties: The seller perfectly insures all buyers against the risk of losing the object(s) for which they have high valuation. While the buyers who have high valuation for both objects are compensated if they do not win either object, the buyers who have low valuation for both objects incur a positive payment to the seller in the same event.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 7575.

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Date of creation: 09 Mar 2008
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Handle: RePEc:pra:mprapa:7575

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Related research

Keywords: Multi-object Auctions; Optimal Auctions; Multi-dimensional Screening; Risk Averse Buyers; Bundling;

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  1. 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.
  2. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521551847, October.
  3. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
  4. Vasiliki Skreta & Nicolas Figueroa, 2004. "Optimal Auction Design For Multiple Objects with Externalities," Econometric Society 2004 Latin American Meetings 287, Econometric Society.
  5. Steven A. Matthews, 1981. "Selling to Risk Averse Buyers with Unobservable Tastes," Discussion Papers 480S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Kihlstrom, Richard E & Mirman, Leonard J, 1981. "Constant, Increasing and Decreasing Risk Aversion with Many Commodities," Review of Economic Studies, Wiley Blackwell, vol. 48(2), pages 271-80, April.
  7. Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February.
  8. Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-87, July.
  9. Cox, James C & Smith, Vernon L & Walker, James M, 1988. " Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
  10. Domenico Menicucci, 2003. "Optimal two-object auctions with synergies," Review of Economic Design, Springer, vol. 8(2), pages 143-164, October.
  11. Asplund, Marcus, 1995. "Risk-Averse Firms in Oligopoly," Working Paper Series in Economics and Finance 69, Stockholm School of Economics, revised 21 Sep 1999.
  12. Eso, Peter, 2005. "An optimal auction with correlated values and risk aversion," Journal of Economic Theory, Elsevier, vol. 125(1), pages 78-89, November.
  13. Armstrong, Mark, 2000. "Optimal Multi-object Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 455-81, July.
  14. 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.
  15. Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-99, November.
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