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Auctioning public goods to groups of aghents

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Author Info
ALBOTH, Dirk
LERNER, Anat
SHALEV, Jonathan

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Abstract

A profit-maximizing auctioneer can provide a public good to at most one of a number of groups of agents. The groups may have non-empty intersections. 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 with the highest sum of the agentsÕ bids, only if this sum exceeds a minimum price declared previously by the auctioneer. For the one-group 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 minimum 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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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 1997077.

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Date of creation: 01 Oct 1997
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Handle: RePEc:cor:louvco:1997077

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Related research
Keywords: public goods; auctions; externalities;

Find related papers by JEL classification:
C00 - Mathematical and Quantitative Methods - - General - - - General
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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  1. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
    Other versions:
  3. Douglas K. Reece, 1978. "Competitive Bidding for Offshore Petroleum Leases," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 369-384, Autumn. [Downloadable!] (restricted)
  4. Nitzan, Shmuel, 1991. "Collective Rent Dissipation," Economic Journal, Royal Economic Society, vol. 101(409), pages 1522-34, November. [Downloadable!] (restricted)
  5. Sugden, Robert, 1984. "Reciprocity: The Supply of Public Goods through Voluntary Contributions," Economic Journal, Royal Economic Society, vol. 94(376), pages 772-87, December. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
    Other versions:
  7. 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. [Downloadable!] (restricted)
  8. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Blackwell Publishing, vol. 44(3), pages 511-18, October. [Downloadable!] (restricted)
  9. Lerner, Anat, 1998. "A Pie Allocation Among Sharing Groups," Games and Economic Behavior, Elsevier, vol. 22(2), pages 316-330, February. [Downloadable!] (restricted)
  10. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. " Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
  11. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-99, June. [Downloadable!] (restricted)
    Other versions:
    • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  12. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367. [Downloadable!] (restricted)
  13. Cornes, Richard & Sandler, Todd, 1984. "Easy Riders, Joint Production, and Public Goods," Economic Journal, Royal Economic Society, vol. 94(375), pages 580-98, September. [Downloadable!] (restricted)
  14. Philippe Jehiel & Benny Moldovanu, 1996. "Strategic Nonparticipation," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 84-98, Spring. [Downloadable!] (restricted)
    Other versions:
  15. Brubaker, Earl R, 1975. "Free Ride, Free Revelation, or Golden Rule?," Journal of Law & Economics, University of Chicago Press, vol. 18(1), pages 147-61, April.
  16. 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. [Downloadable!] (restricted)
  17. Michael Landsberger ; Jacob Rubinstein ; Elmar Wolfstetter ; Shmuel Zamir, . "First-Price Auctions when the Ranking of Valuations is Common Knowledge," Working Papers 99-18, Centre de Recherche en Economie et Statistique. [Downloadable!]
    Other versions:
  18. McMillan, John, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-62, Summer. [Downloadable!] (restricted)
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