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An impure public good model with lotteries in large groups

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  • Cabrales, Antonio
  • Lugo, Haydée

Abstract

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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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8319.

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Date of creation: Apr 2011
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Handle: RePEc:cpr:ceprdp:8319

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Keywords: efficiency; lotteries; public good; warm glow;

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  1. Juan-�ngel 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.
  2. Charles T. Clotfelter & Philip J. Cook, 1989. "Selling Hope: State Lotteries in America," NBER Books, National Bureau of Economic Research, Inc, number clot89-1, October.
  3. James M. Buchanan, 1963. "The Economics of Earmarked Taxes," Journal of Political Economy, University of Chicago Press, vol. 71, pages 457.
  4. Pérignon, Christophe & Smith, Daniel R., 2010. "The level and quality of Value-at-Risk disclosure by commercial banks," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 362-377, February.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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 1753-65, November.
  10. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-77, June.
  11. 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 1447-58, December.
  12. Morgan, John, 2000. "Financing Public Goods by Means of Lotteries," Review of Economic Studies, Wiley Blackwell, vol. 67(4), pages 761-84, October.
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