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Cooperative provision of indivisible public goods

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  • Pierre Dehez

Abstract

A community faces the obligation of providing an indivisible public good. Each member is capable of providing it at a certain cost and the solution is to rely on the player who can do it at the lowest cost. It is then natural that he or she be compensated by the other players. The question is to know how much they should each contribute. We model this compensation problem as a cost sharing game to which standard allocation rules are applied and related to the solution resulting from the auction procedures proposed by Kleindorfer and Sertel (1994).

Suggested Citation

  • Pierre Dehez, 2010. "Cooperative provision of indivisible public goods," Working Papers of BETA 2010-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    • Handle: RePEc:ulp:sbbeta:2010-14
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    References listed on IDEAS

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    1. Kleindorfer Paul R. & Sertel Murat R., 1994. "Auctioning the Provision of an Indivisible Public Good," Journal of Economic Theory, Elsevier, vol. 64(1), pages 20-34, October.
    2. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
    3. Pierre Dehez & Daniela Tellone, 2013. "Data Games: Sharing Public Goods with Exclusion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(4), pages 654-673, August.
    4. Julien Jacob & Sandrine Spaeter, 2016. "Large-Scale Risks and Technological Change: What About Limited Liability?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(1), pages 125-142, February.
    5. Marc-Hubert Depret & Abdelillah Hamdouch, 2010. "Les clusters et les réseaux comme fondements de la dynamique d'innovation dans l'industrie biopharmaceutique," Working Papers of BETA 2010-11, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    6. Francesco Bogliacino & Giulio Perani & Mario Pianta & Stefano Supino, 2010. "Innovation and Development. The Evidence from Innovation Surveys," Working Papers of BETA 2010-13, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    7. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. DEHEZ, Pierre, 2009. "Allocation of fixed costs and the weighted Shapley value," LIDAM Discussion Papers CORE 2009035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    10. William Thomson, 2007. "Cost allocation and airport problems," RCER Working Papers 537, University of Rochester - Center for Economic Research (RCER).
    11. Pierre Dehez, 2011. "Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 141-157.
    12. Faulhaber, Gerald R, 1975. "Cross-Subsidization: Pricing in Public Enterprises," American Economic Review, American Economic Association, vol. 65(5), pages 966-977, December.
    13. Kunreuther, Howard & Kleindorfer, Paul & Knez, Peter J. & Yaksick, Rudy, 1987. "A compensation mechanism for siting noxious facilities: Theory and experimental design," Journal of Environmental Economics and Management, Elsevier, vol. 14(4), pages 371-383, December.
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    Cited by:

    1. Stefan Ambec & Yann Kervinio, 2016. "Cooperative decision-making for the provision of a locally undesirable facility," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 119-155, January.
    2. Meixing Dai, 2012. "External Constraint and Financial Crises with Balance Sheet Effects," International Economic Journal, Taylor & Francis Journals, vol. 26(4), pages 567-585, March.
    3. Dai, Meixing & Sidiropoulos, Moïse, 2011. "Monetary and fiscal policy interactions with central bank transparency and public investment," Research in Economics, Elsevier, vol. 65(3), pages 195-208, September.
    4. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
    5. Gilbert Koenig & Irem Zeyneloglu, 2010. "Fiscal policy efficiency and coordination: The New Open Economy Macroeconomics Approach," Working Papers of BETA 2010-18, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    6. Dehez, Pierre, 2021. "1-convex transferable utility games, a reappraisal," LIDAM Discussion Papers CORE 2021016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Dai, Meixing, 2011. "Financial market imperfections and monetary policy strategy," Economic Modelling, Elsevier, vol. 28(6), pages 2609-2621.

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    More about this item

    Keywords

    public goods; cost sharing; core; nucleolus; Shapley value.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting

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