IDEAS home Printed from https://ideas.repec.org/p/wis/wpaper/1307.html
   My bibliography  Save this paper

Additive cost sharing on a tree

Author

Listed:
  • Debing Ni

    (School of Management, University of Electronic Science and Technology of China)

  • Yuntong Wang

    () (Department of Economics, University of Windsor)

Abstract

This paper considers the cost sharing problem on a fixed tree network. It provides a characterization of the family of cost sharing methods satisfying the axioms of Additivity and the Independence of Irrelevant Costs. Additivity is a classical axiom. The Independence of Irrelevant Costs axiom is new and replaces the traditional Dummy axiom to capture the network structure of the model.

Suggested Citation

  • Debing Ni & Yuntong Wang, 2013. "Additive cost sharing on a tree," Working Papers 1307, University of Windsor, Department of Economics.
  • Handle: RePEc:wis:wpaper:1307
    as

    Download full text from publisher

    File URL: http://web2.uwindsor.ca/economics/RePEc/wis/pdf/1307.pdf
    File Function: First version, 2013
    Download Restriction: no

    References listed on IDEAS

    as
    1. Hougaard, Jens Leth & Moulin, Hervé, 2014. "Sharing the cost of redundant items," Games and Economic Behavior, Elsevier, vol. 87(C), pages 339-352.
    2. 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.
    3. S. H. Tijs & M. Koster & E. Molina & Y. Sprumont, 2002. "Sharing the cost of a network: core and core allocations," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(4), pages 567-599.
    4. Wang, YunTong, 1999. "The additivity and dummy axioms in the discrete cost sharing model," Economics Letters, Elsevier, vol. 64(2), pages 187-192, August.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Cost sharing; tree network.;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

    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:wis:wpaper:1307. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christian Trudeau). General contact details of provider: http://edirc.repec.org/data/dwindca.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.