IDEAS home Printed from https://ideas.repec.org/p/ulp/sbbeta/2010-14.html
   My bibliography  Save this paper

Cooperative provision of indivisible public goods

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://beta.u-strasbg.fr/WP/2010/2010-14.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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 & 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.
    3. Faulhaber, Gerald R, 1975. "Cross-Subsidization: Pricing in Public Enterprises," American Economic Review, American Economic Association, vol. 65(5), pages 966-977, December.
    4. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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).
    11. 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).
    12. 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.
    13. M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
    14. William Thomson, 2007. "Cost allocation and airport problems," RCER Working Papers 537, University of Rochester - Center for Economic Research (RCER).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).
    2. 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.
    3. 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.
    4. 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.
    5. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
    6. Dai, Meixing, 2011. "Financial market imperfections and monetary policy strategy," Economic Modelling, Elsevier, vol. 28(6), pages 2609-2621.
    7. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
    2. 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).
    3. 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.
    4. 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.
    5. Pierre Dehez, 2017. "On Harsanyi Dividends and Asymmetric Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.
    6. 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.
    7. Dai, Meixing, 2011. "Financial market imperfections and monetary policy strategy," Economic Modelling, Elsevier, vol. 28(6), pages 2609-2621.
    8. Tamas Solymosi & Balazs Sziklai, 2015. "Universal Characterization Sets for the Nucleolus in Balanced Games," CERS-IE WORKING PAPERS 1512, Institute of Economics, Centre for Economic and Regional Studies.
    9. Samuel Ferey & Pierre Dehez, 2016. "Multiple Causation, Apportionment, and the Shapley Value," The Journal of Legal Studies, University of Chicago Press, vol. 45(1), pages 143-171.
    10. Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2017. "Coincidence of the Shapley value with other solutions satisfying covariance," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 1-9.
    11. Daniel Granot & Jeroen Kuipers & Sunil Chopra, 2002. "Cost Allocation for a Tree Network with Heterogeneous Customers," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 647-661, November.
    12. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez Rodríguez, 2016. "Monotonicity implications for the ranking of rules for airport problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 379-400, December.
    13. Demuynck, Thomas & Rock, Bram De & Ginsburgh, Victor, 2016. "The transfer paradox in welfare space," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 1-4.
    14. Dehez Pierre & Poukens Sophie, 2014. "The Shapley Value as a Guide to FRAND Licensing Agreements," Review of Law & Economics, De Gruyter, vol. 10(3), pages 265-284, November.
    15. M. Fiestras-Janeiro & Ignacio García-Jurado & Manuel Mosquera, 2011. "Cooperative games and cost allocation problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 1-22, July.
    16. Potters, Jos & Sudholter, Peter, 1999. "Airport problems and consistent allocation rules," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 83-102, July.
    17. Fatemeh Babaei & Hamidreza Navidi & Stefano Moretti, 2022. "A bankruptcy approach to solve the fixed cost allocation problem in transport systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 332-358, July.
    18. Louis de Mesnard, 2015. "The three wives problem and Shapley value," Post-Print hal-01091714, HAL.
    19. Moulin, Herve & Laigret, Francois, 2011. "Equal-need sharing of a network under connectivity constraints," Games and Economic Behavior, Elsevier, vol. 72(1), pages 314-320, May.
    20. Julien Jacob, 2011. "Innovation and diffusion in risky industries under liability law: the case of “double-impact” innovations," Working Papers of BETA 2011-24, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ulp:sbbeta:2010-14. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bestrfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.