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Profit Maximizing in Auctions of Public Goods

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  • Alboth, Dirk
  • Lerner, Anat
  • Shalev, Jonathan

Abstract

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.

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Bibliographic Info

Article provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.

Volume (Year): 3 (2001)
Issue (Month): 4 ()
Pages: 501-25

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Handle: RePEc:bla:jpbect:v:3:y:2001:i:4:p:501-25

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References

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  1. 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.
  2. Isaac, R. Mark & McCue, Kenneth F. & Plott, Charles R., . "Public Goods Provision in an Experimental Environment," Working Papers 428, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
  4. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
  5. ehiel, Philippe & Benny Moldovanu & Ennio Stacchetti, 1994. "How (not) to sell nuclear weapons," Discussion Paper Serie B 288, University of Bonn, Germany.
  6. Douglas K. Reece, 1978. "Competitive Bidding for Offshore Petroleum Leases," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 369-384, Autumn.
  7. 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.
  8. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 511-18, October.
  9. Lerner, Anat, 1998. "A Pie Allocation Among Sharing Groups," Games and Economic Behavior, Elsevier, vol. 22(2), pages 316-330, February.
  10. Philippe Jehiel & Benny Moldovanu, 1998. "Auctions with Downstream Interaction," Discussion Papers 1243, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. 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, vol. 6(3), pages 461-480.
  12. Philippe Jehiel & Benny Moldovanu, 1996. "Strategic Nonparticipation," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 84-98, Spring.
  13. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
  14. Cornes, Richard & Sandler, Todd, 1984. "Easy Riders, Joint Production, and Public Goods," Economic Journal, Royal Economic Society, vol. 94(375), pages 580-98, September.
  15. 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.
  16. 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.
  17. repec:wop:humbsf:1996-36 is not listed on IDEAS
  18. Schneider, Friedrich & Pommerehne, Werner W, 1981. "Free Riding and Collective Action: An Experiment in Public Microeconomics," The Quarterly Journal of Economics, MIT Press, vol. 96(4), pages 689-704, November.
  19. 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.
  20. 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.
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Citations

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Cited by:
  1. Barbieri, Stefano & Malueg, David A., 2010. "Threshold uncertainty in the private-information subscription game," Journal of Public Economics, Elsevier, vol. 94(11-12), pages 848-861, December.
  2. Zhi Li & Christopher Anderson & Stephen K. Swallow, 2012. "Uniform Price Mechanisms for Threshold Public Goods Provision: An Experimental Investigation," Working Papers 14, University of Connecticut, Department of Agricultural and Resource Economics, Charles J. Zwick Center for Food and Resource Policy.
  3. Stefano Barbieri & David Malueg, 2008. "Private provision of a discrete public good: efficient equilibria in the private-information contribution game," Economic Theory, Springer, vol. 37(1), pages 51-80, October.
  4. Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  5. Toth, Sandor F. & Rabotyagov, Sergey S. & Ettl, Gregory J., 2009. "Experimental Testbeds for ECOSEL: A Market Framework for Private Provision of Forest Ecosystem Services," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49565, Agricultural and Applied Economics Association.

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