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Sharing the Cost of a Public Good: An Incentive-Constrained Axiomatic Approach

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  • SPRUMONT, Yves
  • MANIQUET, François

Abstract

We study the problem of provision and cost-sharing of a public good in large economies where exclusion, complete or partial, is possible. We search for incentive-constrained efficient allocation rules that display fairness properties. Population monotonicity says that an increase in population should not be detrimental to anyone. Demand monotonicity states that an increase in the demand for the public good (in the sense of a first-order stochastic dominance shift in the distribution of preferences) should not be detrimental to any agent whose preferences remain unchanged. Under suitable domain restrictions, there exists a unique incentive-constrained efficient and demand-monotonic allocation rule: the so-called serial rule. In the binary public good case, the serial rule is also the only incentive-constrained efficient and population-monotonic rule.

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Bibliographic Info

Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 06-2006.

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Length: 51 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:mtl:montec:06-2006

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Keywords: excludable public good; incentive compatibility; fairness; serial rule;

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References

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  1. Yves Sprumont, 1998. "Equal factor equivalence in economies with multiple public goods," Social Choice and Welfare, Springer, vol. 15(4), pages 543-558.
  2. Hellwig, Martin, 2003. "A Utilitarian Approach to the Provision and Pricing of Excludable Public Goods," Sonderforschungsbereich 504 Publications 03-36, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  3. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 175-208, April.
  4. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 217-25, April.
  5. MANIQUET, François, . "Implementation of allocation rules under perfect information," CORE Discussion Papers RP -1734, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Mas-Colell, Andreu, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 94(4), pages 625-41, June.
  7. Maniquet, Francois & Sprumont, Yves, 2005. "Welfare egalitarianism in non-rival environments," Journal of Economic Theory, Elsevier, vol. 120(2), pages 155-174, February.
  8. Crawford, Vincent P, 1979. "A Procedure for Generating Pareto-Efficient Egalitarian-Equivalent Allocations," Econometrica, Econometric Society, vol. 47(1), pages 49-60, January.
  9. Moulin, Herve, 1994. "Serial Cost-Sharing of Excludable Public Goods," Review of Economic Studies, Wiley Blackwell, vol. 61(2), pages 305-25, April.
  10. James A. Dearden, 1998. "Serial cost sharing of excludable public goods: general cost functions," Economic Theory, Springer, vol. 12(1), pages 189-198.
  11. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  12. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-38, March.
  13. Francois Maniquet & Yves Sprumont, 2002. "Fair Production and Allocation of an Excludable Nonrival Good," Economics Working Papers 0014, Institute for Advanced Study, School of Social Science.
  14. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
  15. Kaneko, Mamoru, 1977. "The Ratio Equilibria and the Core of the Voting Game G(N, W) in a Public Goods Economy," Econometrica, Econometric Society, vol. 45(7), pages 1589-94, October.
  16. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
  17. Demange, Gabrielle, 1984. "Implementing Efficient Egalitarian Equivalent Allocations," Econometrica, Econometric Society, vol. 52(5), pages 1167-77, September.
  18. Olszewski, Wojciech, 2004. "Coalition strategy-proof mechanisms for provision of excludable public goods," Games and Economic Behavior, Elsevier, vol. 46(1), pages 88-114, January.
  19. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
  20. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521887427, April.
  21. Norman,P., 2000. "Efficient mechanisms for public goods with use exclusions," Working papers 15, Wisconsin Madison - Social Systems.
  22. Mutuswami, Suresh, 2004. "Strategyproof cost sharing of a binary good and the egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 271-280, November.
  23. Dreze, Jacques H., 1980. "Public goods with exclusion," Journal of Public Economics, Elsevier, vol. 13(1), pages 5-24, February.
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Citations

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Cited by:
  1. MORENO-TERNERO, Juan D. & ROEMER, John E., 2008. "Axiomatic resource allocation for heterogeneous agents," CORE Discussion Papers 2008018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. MORENO-TERNERO, Juan D. & ROEMER, John E., . "A common ground for resource and welfare egalitarianism," CORE Discussion Papers RP -2400, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Athanasiou, Efthymios, 2013. "A Solomonic solution to the problem of assigning a private indivisible good," Games and Economic Behavior, Elsevier, vol. 82(C), pages 369-387.
  4. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.

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