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On public good provision mechanisms with dominant strategies and balanced budget

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  • Kuzmics, Christoph
  • Steg, Jan-Henrik

Abstract

Consider a mechanism for the binary public good provision problem that is dominant strategy incentive compatible (DSIC), ex-post individually rational (EPIR), and ex-post budget balanced (EPBB). It is well known that if there are only two agents, then any such mechanism must have a threshold (or fixed cost-sharing) form, providing the public good if and only if both agents have values that are at least their respective thresholds. When there are more than two agents, there are mechanisms that are DSIC, EPIR, and EPBB that are not of the threshold form. Any DSIC, EPIR, and EPBB mechanism that additionally satisfies that the lowest types expect zero net utility from participating are again of the threshold form. This additional condition arises endogenously when maximizing expected welfare subject to DSIC, EPIR, and EPBB.

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  • Kuzmics, Christoph & Steg, Jan-Henrik, 2017. "On public good provision mechanisms with dominant strategies and balanced budget," Journal of Economic Theory, Elsevier, vol. 170(C), pages 56-69.
    • Handle: RePEc:eee:jetheo:v:170:y:2017:i:c:p:56-69
    DOI: 10.1016/j.jet.2017.04.006
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    Cited by:

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    2. Felix Bierbrauer & Justus Winkelmann, 2018. "All or Nothing: State Capacity and Optimal Public Goods Provision," CESifo Working Paper Series 7238, CESifo.
    3. 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.
    4. Hagen, Martin, 2023. "Collusion-proof mechanisms for multi-unit procurement," Games and Economic Behavior, Elsevier, vol. 138(C), pages 281-298.
    5. Kuzmics, Christoph & Steg, Jan-Henrik, 2017. "On public good provision mechanisms with dominant strategies and balanced budget," Journal of Economic Theory, Elsevier, vol. 170(C), pages 56-69.
    6. Moritz Drexl & Andreas Kleiner, 2018. "Why Voting? A Welfare Analysis," American Economic Journal: Microeconomics, American Economic Association, vol. 10(3), pages 253-271, August.
    7. Hans Gersbach & Stephan Imhof & Oriol Tejada, 2021. "Channeling the final say in politics: a simple mechanism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 151-183, February.
    8. Kiho Yoon, 2021. "Robust double auction mechanisms," Papers 2102.00669, arXiv.org, revised May 2022.
    9. Hagen, Martin & Hernando-Veciana, Ángel, 2021. "Multidimensional bargaining and posted prices," Journal of Economic Theory, Elsevier, vol. 196(C).
    10. Takashi Kunimoto & Cuiling Zhang, 2021. "On incentive compatible, individually rational public good provision mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 431-468, August.
    11. Arvaniti, Maria & Carvajal, Andrés, 2018. "Risk externalities: When financial imperfections are not the problem, but part of the solution," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 87-100.
    12. Jin Xi & Haitian Xie, 2021. "Strength in Numbers: Robust Mechanisms for Public Goods with Many Agents," Papers 2101.02423, arXiv.org, revised May 2023.
    13. Kiho Yoon, 2018. "Optimal robust allocation of private goods," Discussion Paper Series 1803, Institute of Economic Research, Korea University.
    14. Bierbrauer, Felix & Winkelmann, Justus, 2020. "All or nothing: State capacity and optimal public goods provision," Journal of Economic Theory, Elsevier, vol. 185(C).
    15. Jin Xi & Haitian Xie, 2023. "Strength in numbers: robust mechanisms for public goods with many agents," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 649-683, October.

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    More about this item

    Keywords

    Public good provision; Asymmetric information; Dominant strategy;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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