Optimal Multi-Object Auctions with Risk Averse Buyers
AbstractWe 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 7575.
Date of creation: 09 Mar 2008
Date of revision:
Multi-object Auctions; Optimal Auctions; Multi-dimensional Screening; Risk Averse Buyers; Bundling;
Find related papers by JEL classification:
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-03-15 (All new papers)
- NEP-CTA-2008-03-15 (Contract Theory & Applications)
- NEP-GTH-2008-03-15 (Game Theory)
- NEP-UPT-2008-03-15 (Utility Models & Prospect Theory)
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.:
- Vasiliki Skreta, 2005.
"Optimal Auction Design for Multiple Objects with Externalities,"
UCLA Economics Online Papers
345, UCLA Department of Economics.
- Vasiliki Skreta & Nicolas Figueroa, 2005. "Optimal Auction Design For Multiple Objects with Externalities," 2005 Meeting Papers 866, Society for Economic Dynamics.
- Vasiliki Skreta & Nicolas Figueroa, 2004. "Optimal Auction Design For Multiple Objects with Externalities," Econometric Society 2004 Latin American Meetings 287, Econometric Society.
- Milgrom,Paul, 2004.
"Putting Auction Theory to Work,"
Cambridge University Press, number 9780521551847.
- 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.
- 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.
- Asplund, Marcus, 1995.
"Risk-Averse Firms in Oligopoly,"
Working Paper Series in Economics and Finance
69, Stockholm School of Economics, revised 21 Sep 1999.
- Harris, Milton & Raviv, Artur, 1981. "Allocation Mechanisms and the Design of Auctions," Econometrica, Econometric Society, vol. 49(6), pages 1477-99, November.
- Domenico Menicucci, 2003.
"Optimal two-object auctions with synergies,"
Review of Economic Design,
Springer, vol. 8(2), pages 143-164, October.
- 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.
- Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February.
- Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-87, July.
- Steven A. Matthews, 1981.
"Selling to Risk Averse Buyers with Unobservable Tastes,"
480S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Matthews, Steven A., 1983. "Selling to risk averse buyers with unobservable tastes," Journal of Economic Theory, Elsevier, vol. 30(2), pages 370-400, August.
- Armstrong, Mark, 2000. "Optimal Multi-object Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 455-81, July.
- 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.
- 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.
- Eso, Peter, 2005. "An optimal auction with correlated values and risk aversion," Journal of Economic Theory, Elsevier, vol. 125(1), pages 78-89, November.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If references are entirely missing, you can add them using this form.