Profit Maximizing in Auctions of Public Goods
A profit-maximizing auctioneer can provide a public good to a group of agents. Each group member has a private value for the good being provided to the group. We investigate an auction mechanism where the auctioneer provides the good to the group only if the sum of their bids exceeds a reserve price declared previously by the auctioneer. For the two-bidder case with private values drawn from a uniform distribution we characterize the continuously differentiable symmetric equilibrium bidding functions for the agents, and we find the optimal reserve price for the auctioneer when such functions are used by the bidders. We also examine another interesting family of equilibrium bidding functions for this case, with a discrete number of possible bids, and show the relation (in the limit) to the differentiable bidding functions. Copyright 2001 by Blackwell Publishing Inc.
If 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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 3 (2001)
Issue (Month): 4 ()
|Contact details of provider:|| Web page: http://www.blackwellpublishing.com/journal.asp?ref=1097-3923|
More information through EDIRC
|Order Information:||Web: http://www.blackwellpublishing.com/subs.asp?ref=1097-3923|
References listed on IDEAS
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.:
- Jacob Rubinstein & Elmar Wolfstetter & Michael Landsberger & Shmuel Zamir, 2001.
"First-price auctions when the ranking of valuations is common knowledge,"
Review of Economic Design,
Springer;Society for Economic Design, vol. 6(3), pages 461-480.
- Michael Landsberger & Jacob Rubinstein & Elmar Wolfstetter & Shmuel Zamir, 1999. "First-Price Auctions when the Ranking of Valuations is Common Knowledge," Working Papers 99-18, Centre de Recherche en Economie et Statistique.
- M. Landsberger & J. Rubinstein & E. Wolfstetter & S. Zamir, 1996. "First-Price Auctions when the Ranking of Valuations is Common Knowledge," SFB 373 Discussion Papers 1996,36, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
- d’ASPREMONT, CLaude & CREMER, Jacques & GERARD-VARET, Louis-André, .
"Unique implementation in auctions and in public goods problems,"
CORE Discussion Papers RP
1974, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- d’ASPREMONT, Claude & CREMER, Jacques & GERARD-VARET, Louis-André, 1998. "Unique implementation in auctions and in public goods problems," CORE Discussion Papers 1998010, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- d'Aspremont, C & Cremer, J & Gerard-Varet, L-A, 1997. "Unique Implementation in Auctions and in Public Goods Problems," G.R.E.Q.A.M. 97a15, Universite Aix-Marseille III.
- McAfee, R. Preston & McMillan, John., 1990.
726, California Institute of Technology, Division of the Humanities and Social Sciences.
- Philippe Jehiel & Benny Moldovanu, 2000.
"Auctions with Downstream Interaction Among Buyers,"
RAND Journal of Economics,
The RAND Corporation, vol. 31(4), pages 768-791, Winter.
- ehiel, Philippe & Benny Moldovanu & Ennio Stacchetti, 1994.
"How (not) to sell nuclear weapons,"
Discussion Paper Serie B
288, University of Bonn, Germany.
- Cornes, Richard & Sandler, Todd, 1984. "Easy Riders, Joint Production, and Public Goods," Economic Journal, Royal Economic Society, vol. 94(375), pages 580-98, September.
- Theodore Groves & John Ledyard, 1976.
"Optimal Allocation of Public Goods: A Solution to the 'Free Rider Problem',"
144, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
- Isaac, R. Mark & McCue, Kenneth F. & Plott, Charles R., .
"Public Goods Provision in an Experimental Environment,"
428, California Institute of Technology, Division of the Humanities and Social Sciences.
- Mark Isaac, R. & McCue, Kenneth F. & Plott, Charles R., 1985. "Public goods provision in an experimental environment," Journal of Public Economics, Elsevier, vol. 26(1), pages 51-74, February.
- Bliss, Christopher & Nalebuff, Barry, 1984. "Dragon-slaying and ballroom dancing: The private supply of a public good," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 1-12, November.
- Robert B. Wilson, 1967. "Competitive Bidding with Asymmetric Information," Management Science, INFORMS, vol. 13(11), pages 816-820, July.
- Robert Wilson, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 511-518.
- Moldovanu, Benny & Jehiel, Philippe & Stacchetti, Ennio, 1997.
"Multidimensional Mechanism Design for Auctions with Externalities,"
97-04, Sonderforschungsbreich 504.
- Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1999. "Multidimensional Mechanism Design for Auctions with Externalities," Journal of Economic Theory, Elsevier, vol. 85(2), pages 258-293, April.
- 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.
- Marwell, Gerald & Ames, Ruth E., 1981. "Economists free ride, does anyone else? : Experiments on the provision of public goods, IV," Journal of Public Economics, Elsevier, vol. 15(3), pages 295-310, June.
- Friedrich Schneider & Werner W. Pommerehne, 1981. "Free Riding and Collective Action: An Experiment in Public Microeconomics," The Quarterly Journal of Economics, Oxford University Press, vol. 96(4), pages 689-704.
- Lerner, Anat, 1998. "A Pie Allocation Among Sharing Groups," Games and Economic Behavior, Elsevier, vol. 22(2), pages 316-330, February.
- Brubaker, Earl R, 1975. "Free Ride, Free Revelation, or Golden Rule?," Journal of Law and Economics, University of Chicago Press, vol. 18(1), pages 147-61, April.
- R. Isaac & James Walker & Susan Thomas, 1984. "Divergent evidence on free riding: An experimental examination of possible explanations," Public Choice, Springer, vol. 43(2), pages 113-149, January.
- Douglas K. Reece, 1978. "Competitive Bidding for Offshore Petroleum Leases," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 369-384, Autumn.
- Philippe Jehiel & Benny Moldovanu, 1998. "Auctions with Downstream Interaction," Discussion Papers 1243, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- George J. Stigler, 1974. "Free Riders and Collective Action: An Appendix to Theories of Economic Regulation," Bell Journal of Economics, The RAND Corporation, vol. 5(2), pages 359-365, Autumn.
- McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
When requesting a correction, please mention this item's handle: RePEc:bla:jpbect:v:3:y:2001:i:4:p:501-25. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing)or (Christopher F. Baum)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.