IDEAS home Printed from https://ideas.repec.org/p/gbl/wpaper/200601.html
   My bibliography  Save this paper

Sharing a common resource with concave benefits

Author

Listed:
  • Ambec, S.

Abstract

A group of agents enjoy concave and single-peak benefit functions from consuming a shared resource. They also value money (transfers). The resource is scarce in the sense that not everybody can consume its peak. The paper characterizes the unique (resource and money) allocation that is efficient, incentive compatible and equal-sharing individual rational. It can be implemented (i) by selling the resource or taxing extraction and redistributing the money collected equally, or (ii) by assigning property rights on equal shares in a competitive market. Next, the paper posits an allocation that is incentive compatible, individual rational and assigns to every agent no more than its peak benefit.

Suggested Citation

  • Ambec, S., 2006. "Sharing a common resource with concave benefits," Working Papers 200601, Grenoble Applied Economics Laboratory (GAEL).
    • Handle: RePEc:gbl:wpaper:200601
    as

    Download full text from publisher

    File URL: https://gael.univ-grenoble-alpes.fr/sites/default/files/Mediatheque/doc-recherche/WP/A2006/gael2006-03.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    2. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    3. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
    4. Moulin, Herve, 1991. "Welfare bounds in the fair division problem," Journal of Economic Theory, Elsevier, vol. 54(2), pages 321-337, August.
    5. Schmeidler, David & Vind, Karl, 1972. "Fair Net Trades," Econometrica, Econometric Society, vol. 40(4), pages 637-642, July.
      • SCHMEIDLER, David & VIND, Karl, 1972. "Fair net trades," LIDAM Reprints CORE 131, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. d'Albis, Hippolyte & Ambec, Stefan, 2010. "Fair intergenerational sharing of a natural resource," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 170-183, March.

    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. Stefan Ambec, 2008. "Sharing a resource with concave benefits," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 1-13, June.
    2. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    3. Zhen Zhao & Shinji Ohseto, 2022. "Strategy-proof and fair reallocation with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 791-800, May.
    4. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    5. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    6. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September.
    7. Biung†Ghi Ju & Juan D. Moreno†Ternero, 2017. "Fair Allocation Of Disputed Properties," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(4), pages 1279-1301, November.
    8. Kranich, Laurence, 1995. "Equity and economic theory: reflections on methodology and scope," UC3M Working papers. Economics 3919, Universidad Carlos III de Madrid. Departamento de Economía.
    9. Agustín G. Bonifacio, 2024. "Variable population manipulations of reallocation rules in economies with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 62(2), pages 345-365, March.
    10. Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 57-67.
    11. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    12. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    13. Kim, Sunyoung & Bergantiños, Gustavo & Chun, Youngsub, 2015. "The separability principle in single-peaked economies with participation constraints," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 69-75.
    14. Shinji Yamashige, 1995. "Fairness in Markets and Government Policies," Working Papers yamashig-95-03, University of Toronto, Department of Economics.
    15. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    16. Maniquet, Francois, 2001. "On decomposable exchange rules," Economics Letters, Elsevier, vol. 70(3), pages 375-380, March.
    17. Kesten, Onur, 2006. "More on the uniform rule: Characterizations without Pareto optimality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 192-200, March.
    18. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    19. Lars Ehlers & Bettina Klaus, 2003. "Probabilistic assignments of identical indivisible objects and uniform probabilistic rules," Review of Economic Design, Springer;Society for Economic Design, vol. 8(3), pages 249-268, October.
    20. Kibris, Ozgur & Kucuksenel, Serkan, 2005. "Trade rules for uncleared markets," Working Papers 1232, California Institute of Technology, Division of the Humanities and Social Sciences.

    More about this item

    Keywords

    COMMON RESOURCE; SINGLE PEAK; INCENTIVE COMPATIBLE; NO ENVY; FAIRNESS;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

    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:gbl:wpaper:200601. 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: Adrien Hervouet (email available below). General contact details of provider: https://edirc.repec.org/data/inragfr.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.