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A fair pivotal mechanism for nonpecuniary public goods

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  • Pivato, Marcus

Abstract

The Clarke pivotal mechanism is inappropriate for nonpecuniary public goods, because the assumption of quasilinear utility is invalid, and because the mechanism gives disproportionate influence to wealthier voters. But by introducing a `stochastic' Clarke tax, we can convert any separable utility function into a quasilinear one. Also, by stratifying a large population by wealth, and applying different `weights' to the votes from different wealth-strata, we can ensure that the mechanism is `fair' in the sense that the voters in different strata all have equal influence (on average) over the outcome. These weights can be fine-tuned to their optimal values over time, by using the rich dataset generated by a series of large-population referenda. The result is a fair, strategy-proof implementation of weighted utilitarian social choice over nonpecuniary public goods.

Suggested Citation

  • Pivato, Marcus, 2011. "A fair pivotal mechanism for nonpecuniary public goods," MPRA Paper 34525, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:34525
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    References listed on IDEAS

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    1. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    2. Kopczuk, Wojciech & Saez, Emmanuel, 2004. "Top Wealth Shares in the United States, 1916-2000: Evidence From Estate Tax Returns," National Tax Journal, National Tax Association;National Tax Journal, vol. 57(2), pages 445-487, June.
    3. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    4. Bailey, Martin J, 1997. "The Demand Revealing Process: To Distribute the Surplus," Public Choice, Springer, vol. 91(2), pages 107-126, April.
    5. Edward N. Wolff, 2010. "Recent Trends in Household Wealth in the United States-- Rising Debt and the Middle-Class Squeeze--An Update to 2007," Economics Working Paper Archive wp_589, Levy Economics Institute.
    6. Gary-Bobo, Robert J. & Jaaidane, Touria, 2000. "Polling mechanisms and the demand revelation problem," Journal of Public Economics, Elsevier, vol. 76(2), pages 203-238, May.
    7. Green, Jerry & Kohlberg, Elon & Laffont, Jean-Jacques, 1976. "Partial equilibrium approach to the free-rider problem," Journal of Public Economics, Elsevier, vol. 6(4), pages 375-394, November.
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    Cited by:

    1. Matt Essen, 2014. "A Clarke tax tâtonnement that converges to the Lindahl allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 309-327, August.

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    More about this item

    Keywords

    pivotal mechanism; strategy-proof implementation; nonpecuniary public good; utilitarian; inequality;
    All these keywords.

    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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