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Profit Maximizing in Auctions of Public Goods

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Author Info

  • Dirk Alboth

    (Paderborn University)

  • Anat Lerner

    (Tel-Aviv University)

  • Jonathan Shalev

    (CORE)

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 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.

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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 9707010.

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Length: 32 pages
Date of creation: 22 Jul 1997
Date of revision: 01 Apr 1998
Handle: RePEc:wpa:wuwpga:9707010

Note: Type of Document - LaTeX; prepared on IBM PC; to print on PostScript; pages: 32 ; figures: 3 eps files included. Comments welcome
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Related research

Keywords: public goods; auctions; externalities;

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References

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  1. 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.
  2. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
  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. McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
  5. Robert B. Wilson, 1967. "Competitive Bidding with Asymmetric Information," Management Science, INFORMS, vol. 13(11), pages 816-820, July.
  6. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
  7. repec:wop:humbsf:1996-36 is not listed on IDEAS
  8. Jehiel, Phillipe & Moldovanu, Benny, 1997. "Auctions with Downstream Interaction among Buyers," Sonderforschungsbereich 504 Publications 97-06, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  9. Philippe Jehiel & Benny Moldovanu, 1998. "Auctions with Downstream Interaction," Discussion Papers 1243, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Lerner, Anat, 1998. "A Pie Allocation Among Sharing Groups," Games and Economic Behavior, Elsevier, vol. 22(2), pages 316-330, February.
  11. 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.
  12. 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.
  13. 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.
  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. 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.
  16. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 511-18, October.
  17. 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.
  18. ehiel, Philippe & Benny Moldovanu & Ennio Stacchetti, 1994. "How (not) to sell nuclear weapons," Discussion Paper Serie B 288, University of Bonn, Germany.
  19. 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.
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Citations

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Cited by:
  1. 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.
  2. Jehiel, Philippe & Moldovanu, Benny, 2006. "Allocative and Informational Externalities in Auctions and Related Mechanisms," CEPR Discussion Papers 5558, C.E.P.R. Discussion Papers.
  3. 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.
  4. 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.
  5. 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.

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