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An impure public good model with lotteries in large groups


  • Cabrales Goitia, Antonio
  • Lugo, Haydeé


We analyze the effect of a large group on an impure public goods model with lotteries. We show that as populations get large, and with selfish preferences, the level of contributions converges to the one given by voluntary contributions. With altruistic preferences (of the warm glow type), the contributions converge to a level strictly higher than those given by voluntary contributions, even though in general they do not yield first-best levels.

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  • Cabrales Goitia, Antonio & Lugo, Haydeé, 2011. "An impure public good model with lotteries in large groups," UC3M Working papers. Economics we1107, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we1107

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    1. Juan-Ángel Jiménez-Martín & Michael McAleer & Teodosio Pérez-Amaral, 2009. "The Ten Commandments For Managing Value At Risk Under The Basel Ii Accord," Journal of Economic Surveys, Wiley Blackwell, vol. 23(5), pages 850-855, December.
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    4. Pérignon, Christophe & Deng, Zi Yin & Wang, Zhi Jun, 2008. "Do banks overstate their Value-at-Risk?," Journal of Banking & Finance, Elsevier, vol. 32(5), pages 783-794, May.
    5. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    6. Andreoni, James, 1989. "Giving with Impure Altruism: Applications to Charity and Ricardian Equivalence," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1447-1458, December.
    7. Bergstrom, Theodore C & Cornes, Richard C, 1983. "Independence of Allocative Efficiency from Distribution in the Theory of Public Goods," Econometrica, Econometric Society, vol. 51(6), pages 1753-1765, November.
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    11. James M. Buchanan, 1963. "The Economics of Earmarked Taxes," Journal of Political Economy, University of Chicago Press, vol. 71, pages 457-457.
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    13. Borg, Mary O. & Mason, Paul M., 1988. "The Budgetary Incidence of a Lottery to Support Education," National Tax Journal, National Tax Association, vol. 41(1), pages 75-85, March.
    14. Sari, Ramazan & Hammoudeh, Shawkat & Soytas, Ugur, 2010. "Dynamics of oil price, precious metal prices, and exchange rate," Energy Economics, Elsevier, vol. 32(2), pages 351-362, March.
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    Cited by:

    1. Gallier, Carlo & Reif, Christiane & Römer, Daniel, 2014. "Consistent or balanced? On the dynamics of voluntary contributions," ZEW Discussion Papers 14-060, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.

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    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • D64 - Microeconomics - - Welfare Economics - - - Altruism; Philanthropy; Intergenerational Transfers


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