IDEAS home Printed from https://ideas.repec.org/p/ecl/riceco/2001-05.html
   My bibliography  Save this paper

Three Solutions to a Simple Commons Problem

Author

Listed:
  • Moulin, Herve

    (Rice U)

Abstract

We compare the equity and incentive properties of three efficient solutions to a simple problem of cooperative production with binary demands for a homogeneous service, when marginal cost is either monotonically increasing or monotonically decreasing. The solutions are the familiar competitive equilibrium with equal incomes. The Shapley value of the stand alone cooperative game, and the virtual price solution, applying the egalitarian equivalence idea to this particular model.

Suggested Citation

  • Moulin, Herve, 2001. "Three Solutions to a Simple Commons Problem," Working Papers 2001-05, Rice University, Department of Economics.
    • Handle: RePEc:ecl:riceco:2001-05
    as

    Download full text from publisher

    File URL: http://www.ruf.rice.edu/~econ/papers/2001papers/05Moulin.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. HervÈ CrËs & HervÈ Moulin, 2003. "Commons with increasing marginal costs: random priority versus average cost," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 1097-1115, August.
    2. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    Full references (including those not matched with items on IDEAS)

    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. Hervé Moulin, 2008. "The price of anarchy of serial, average and incremental cost sharing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 379-405, September.
    2. Moulin, Hervé, 2010. "An efficient and almost budget balanced cost sharing method," Games and Economic Behavior, Elsevier, vol. 70(1), pages 107-131, September.
    3. Yves Sprumont, 2008. "Nearly serial sharing methods," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 155-184, June.
    4. Estévez-Fernández, Arantza, 2012. "A game theoretical approach to sharing penalties and rewards in projects," European Journal of Operational Research, Elsevier, vol. 216(3), pages 647-657.
    5. José Alcalde & José Angel Silva, 2000. "- A Procedure For Sharing Recycling Costs," Working Papers. Serie AD 2000-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Youngsub Chun & Boram Park, 2016. "The airport problem with capacity constraints," Review of Economic Design, Springer;Society for Economic Design, vol. 20(3), pages 237-253, September.
    7. Yves Sprumont, 2010. "An Axiomatization of the Serial Cost-Sharing Method," Econometrica, Econometric Society, vol. 78(5), pages 1711-1748, September.
    8. Gholam Reza Jahanshahloo & Jafar Sadeghi & Mohammad Khodabakhshi, 2017. "Proposing a method for fixed cost allocation using DEA based on the efficiency invariance and common set of weights principles," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 85(2), pages 223-240, April.
    9. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2018. "Sharing sequential values in a network," Journal of Economic Theory, Elsevier, vol. 177(C), pages 734-779.
    10. Jens Hougaard & Lars Østerdal, 2009. "Decreasing serial cost sharing: an axiomatic characterization," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 469-479, November.
    11. Schouten, Jop, 2022. "Cooperation, allocation and strategy in interactive decision-making," Other publications TiSEM d5d41448-8033-4f6b-8ec0-c, Tilburg University, School of Economics and Management.
    12. Rodica Branzei & Giulio Ferrari & Vito Fragnelli & Stef Tijs, 2011. "A bonus-malus approach to project management," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(4), pages 495-512, December.
    13. , & , & ,, 2007. "Secure implementation," Theoretical Economics, Econometric Society, vol. 2(3), September.
    14. Friedman, Eric & Moulin, Herve, 1999. "Three Methods to Share Joint Costs or Surplus," Journal of Economic Theory, Elsevier, vol. 87(2), pages 275-312, August.
    15. Zare, Marjan & Esmaeili, Maryam & He, Yuanjie, 2019. "Implications of risk-sharing strategies on supply chains with multiple retailers and under random yield," International Journal of Production Economics, Elsevier, vol. 216(C), pages 413-424.
    16. Tejedo, Cyril & Truchon, Michel, 2002. "Serial cost sharing in multidimensional contexts," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 277-299, December.
    17. Maurice Koster, 2006. "Heterogeneous cost sharing, the directional serial rule," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 429-444, December.
    18. Hougaard, Jens Leth & Thorlund-Petersen, Lars, 2001. "Mixed serial cost sharing," Mathematical Social Sciences, Elsevier, vol. 41(1), pages 51-68, January.
    19. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Broadcasting revenue sharing after cancelling sports competitions," Annals of Operations Research, Springer, vol. 328(2), pages 1213-1238, September.
    20. Ju, Biung-Ghi, 2008. "Efficiency and consistency for locating multiple public facilities," Journal of Economic Theory, Elsevier, vol. 138(1), pages 165-183, January.

    More about this item

    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:ecl:riceco:2001-05. 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/dericus.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.