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Voluntary public good provision with private information using order statistics

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  • Barbieri, Stefano

Abstract

We study the voluntary provision of a public good with private information when inputs are not perfectly substitutable. Modeling the production function as a mixture of order statistics of individual efforts, we bridge the extreme best-shot and weakest-link technologies, passing through summation, in a tractable framework. In contrast with existing predictions, increasing complementarity results in increased public good provision, if the marginal cost of effort rises sufficiently fast.

Suggested Citation

  • Barbieri, Stefano, 2017. "Voluntary public good provision with private information using order statistics," Economics Letters, Elsevier, vol. 150(C), pages 63-66.
    • Handle: RePEc:eee:ecolet:v:150:y:2017:i:c:p:63-66
    DOI: 10.1016/j.econlet.2016.11.005
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    References listed on IDEAS

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    1. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 259-271.
    2. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185.
    3. Cornes, Richard & Hartley, Roger, 2007. "Weak links, good shots and other public good games: Building on BBV," Journal of Public Economics, Elsevier, vol. 91(9), pages 1684-1707, September.
    4. Stefano Barbieri & David Malueg, 2014. "Group efforts when performance is determined by the “best shot”," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 333-373, June.
    5. Eric D. Gould & Eyal Winter, 2009. "Interactions between Workers and the Technology of Production: Evidence from Professional Baseball," The Review of Economics and Statistics, MIT Press, vol. 91(1), pages 188-200, February.
    6. Debraj Ray & Jean-Marie Baland & Olivier Dagnelie, 2007. "Inequality and Inefficiency in Joint Projects," Economic Journal, Royal Economic Society, vol. 117(522), pages 922-935, July.
    7. Kolmar, Martin & Rommeswinkel, Hendrik, 2013. "Contests with group-specific public goods and complementarities in efforts," Journal of Economic Behavior & Organization, Elsevier, vol. 89(C), pages 9-22.
    8. Stefano Barbieri & David A. Malueg, 2016. "Private Information in the BBV Model of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(6), pages 857-881, December.
    9. Arce M., Daniel G. & Sandler, Todd, 2001. "Transnational public goods: strategies and institutions," European Journal of Political Economy, Elsevier, vol. 17(3), pages 493-516, September.
    10. Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, vol. 41(3), pages 371-386, January.
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    Cited by:

    1. Stefano Barbieri & Iryna Topolyan, 2021. "Private‐information group contests with complementarities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(5), pages 772-800, October.
    2. Stefano Barbieri, 2023. "Complementarity and information in collective action," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 167-206, January.

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    More about this item

    Keywords

    Weaker-link; Better-shot; Privately-provided public good; Complementarity; Private information;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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