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Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information


  • Didier Laussel

    (University of Aix-Marseilles)

  • Thomas R. Palfrey


We characterize generally the Bayesian Nash equilibria of a voluntary contributions public goods game for two consumers with private information.The two consumers simultaneously make voluntary contributions to the public good, and the contributions are refunded if the total falls short of the cost of the public good. Several families of equilibria (step-function, regular and semi-regular) are studied. Necessary and sufficient conditions for regular and semi-regular equilibrium allocations to be interim incentive efficient are derived. In the uniform distribution case we prove (i) the existence of an open set of incentive efficient regular equilibria when the cost of production is large enough and (ii) the existence of an open set of incentive efficient semi-regular equilibria when the cost of production is low enough. Step-function equilibra are proved to be interim incentive inefficient. Copyright 2003 Blackwell Publishing Inc..

Suggested Citation

  • 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.
  • Handle: RePEc:bla:jpbect:v:5:y:2003:i:3:p:449-478

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    References listed on IDEAS

    1. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, March.
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    Cited by:

    1. Krasteva, Silvana & Yildirim, Huseyin, 2013. "(Un)Informed charitable giving," Journal of Public Economics, Elsevier, vol. 106(C), pages 14-26.
    2. 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.
    3. PAGE, Frank, 2000. "Competitive selling mechanisms: the delegation principle and farsighted stability," CORE Discussion Papers 2000021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Ledyard, John O. & Palfrey, Thomas R., 2007. "A general characterization of interim efficient mechanisms for independent linear environments," Journal of Economic Theory, Elsevier, vol. 133(1), pages 441-466, March.
    5. Matthew Ellman & Sjaak Hurkens, 2014. "Optimal Crowdfunding Design," Working Papers 14-21, NET Institute.
    6. Barbieri Stefano & Malueg David A., 2010. "Profit-Maximizing Sale of a Discrete Public Good via the Subscription Game in Private-Information Environments," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-31, February.
    7. Murat Yilmaz, 2010. "Auctioning a Discrete Public Good under Incomplete Information," Working Papers 2010/14, Bogazici University, Department of Economics.
    8. Laffont, Jean-Jacques & Martimort, David, 2005. "The design of transnational public good mechanisms for developing countries," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 159-196, February.
    9. repec:eee:jeborg:v:145:y:2018:i:c:p:114-140 is not listed on IDEAS
    10. 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.
    11. Krasteva, Silvana & Yildirim, Huseyin, 2014. "Reprint of: (Un)Informed charitable giving," Journal of Public Economics, Elsevier, vol. 114(C), pages 108-120.
    12. Li, Zhi & Anderson, Christopher M. & Swallow, Stephen K., 2016. "Uniform price mechanisms for threshold public goods provision with complete information: An experimental investigation," Journal of Public Economics, Elsevier, vol. 144(C), pages 14-26.
    13. 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.
    14. Pengfei Liu & Stephen K. Swallow & Christopher M. Anderson, 2016. "Threshold-Level Public Goods Provision with Multiple Units: Experimental Effects of Disaggregated Groups with Rebates," Land Economics, University of Wisconsin Press, vol. 92(3), pages 515-533.
    15. Stefano Barbieri & David Malueg, 2008. "Private provision of a discrete public good: efficient equilibria in the private-information contribution game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 51-80, October.
    16. Stefano Barbieri & David A. Malueg, 2014. "Increasing Fundraising Success by Decreasing Donor Choice," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(3), pages 372-400, June.
    17. Martimort, David & Moreira, Humberto Ataíde, 2004. "Common agency with informed principals," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 551, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    18. John P. Conley & Fan-Chin Kung, 2010. "Private Benefits, Warm Glow, and Reputation in the Free and Open Source Software Production Model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 665-689, August.
    19. Stefano Barbieri & David A. Malueg, 2008. "Private Provision of a Discrete Public Good: Continuous-Strategy Equilibria in the Private-Information Subscription Game," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(4), pages 529-545, August.

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