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Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information

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  • Didier Laussel
  • Thomas R. Palfrey

Abstract

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.

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  • 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
    DOI: 10.1111/1467-9779.00143
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    References listed on IDEAS

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    4. Li, Zhi & Anderson, Christopher M. & Swallow, Stephen, 2012. "Uniform Price Mechanisms for Threshold Public Goods Provision: An Experimental Investigation," Working Paper series 148349, University of Connecticut, Charles J. Zwick Center for Food and Resource Policy.
    5. Altınok, Ahmet & Yılmaz, Murat, 2018. "Dynamic voluntary contribution to a public project under time inconsistency," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 114-140.
    6. PAGE, Frank, 2000. "Competitive selling mechanisms: the delegation principle and farsighted stability," LIDAM Discussion Papers CORE 2000021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. 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.
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    12. 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.
    13. 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.
    14. Martimort, David, 2019. ""When Olson Meets Dahl": From Inefficient Groups Formation to Inefficient Policy-Making," CEPR Discussion Papers 13843, C.E.P.R. Discussion Papers.
    15. 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.
    16. 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.
    17. 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.
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    19. 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.
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    21. Murat Yilmaz, 2010. "Auctioning a Discrete Public Good under Incomplete Information," Working Papers 2010/14, Bogazici University, Department of Economics.
    22. Martimort, David & Moreira, Humberto Ataíde, 2004. "Common agency with informed principals," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 551, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    23. 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.
    24. Korpela, Ville & Lombardi, Michele, 2020. "Closure under interim utility equivalence implies two-agent Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 108-116.
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