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Private Provisions of a Discrete Public Good with Voluntary Participation

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  • JINGFENG LU
  • EUSTON QUAH

Abstract

This paper studies the mechanism that a profit‐making principal should adopt to provide a discrete public good when the values of the consumers are their private information and their participation is voluntary. The free‐riding issue is resolved through threatened nonprovision of the good by the provider. Every bidder is asked to announce his or her virtual value as defined in Myerson (1981). The public good is provided if and only if the sum of the bidders' announced virtual values exceeds the provision cost. When a provision decision results, each bidder pays an amount that is determined by the announcement of other consumers. No one pays when a nonprovision decision results. We find that this mechanism is implementable through an all‐pay auction. A restricted profit‐maximizing mechanism that implements efficient allocation is also characterized. As in Gradstein (1994), when provision is always efficient, that is, the sum of consumers' values always exceeds the provision cost, efficient allocation is achievable through a profit‐maximizer. However, this is not the case when provision is not efficient.

Suggested Citation

  • Jingfeng Lu & Euston Quah, 2009. "Private Provisions of a Discrete Public Good with Voluntary Participation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(3), pages 343-362, June.
    • Handle: RePEc:bla:jpbect:v:11:y:2009:i:3:p:343-362
    DOI: 10.1111/j.1467-9779.2009.01413.x
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    References listed on IDEAS

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    1. Mark Bagnoli & Barton L. Lipman, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 583-601.
    2. Dirk Alboth & Anat Lerner & Jonathan Shalev, 2001. "Profit Maximizing in Auctions of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 501-525, October.
    3. Laussel, Didier & Le Breton, Michel, 1998. "Efficient Private Production of Public Goods under Common Agency," Games and Economic Behavior, Elsevier, vol. 25(2), pages 194-218, November.
    4. John O. Ledyard & Thomas R. Palfrey, 1999. "A Characterization of Interim Efficiency with Public Goods," Econometrica, Econometric Society, vol. 67(2), pages 435-448, March.
    5. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    6. Menezes, Flavio M. & Monteiro, Paulo K. & Temimi, Akram, 2001. "Private provision of discrete public goods with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 493-514, July.
    7. Che, Yeon-Koo & Kim, Jinwoo, 2009. "Optimal collusion-proof auctions," Journal of Economic Theory, Elsevier, vol. 144(2), pages 565-603, March.
    8. Gradstein, Mark, 1994. "Efficient Provision of a Discrete Public Good," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 877-897, November.
    9. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-829, September.
    10. Jacob K. Goeree & Emiel Maasland & Sander Onderstal & John L. Turner, 2005. "How (Not) to Raise Money," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 897-926, August.
    11. Didier Laussel & Thomas R. Palfrey, 2003. "Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(3), pages 449-478, July.
    12. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    13. repec:bla:jpbect:v:3:y:2001:i:4:p:501-25 is not listed on IDEAS
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    3. Noriaki Matsushima & Ryusuke Shinohara, 2015. "The efficiency of monopolistic provision of public goods through simultaneous bilateral bargaining," ISER Discussion Paper 0948, Institute of Social and Economic Research, Osaka University.

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