IDEAS home Printed from
   My bibliography  Save this article

Ranking Auctions: A Cooperative Approach



    () (Operations Research Center (CIO), University Miguel Hernandez of Elche, Avda de la Universidad s/n, Elche, 03202, Spain)


    () (Operations Research Center (CIO), University Miguel Hernandez of Elche, Avda de la Universidad s/n, Elche, 03202, Spain)


    () (Operations Research Center (CIO), University Miguel Hernandez of Elche, Avda de la Universidad s/n, Elche, 03202, Spain)


    () (Depto. Estadística e Investigación Operativa, Universidad de Murcia, Campus de Espinardo, Facultad de Matemáticas, Murcia, 30071, Spain)


    (Consejería de Educación, Formación y Empleo., Comunidad Autónoma Región de Murcia, Avda. de la Fama 15, Murcia, 30071, Spain)


In this paper, we deal with situations arising from markets where an Internet search service provider offers a service of listing firms in decreasing order according to what they have bid. We call these ranking auction situations and introduce the corresponding TU-games. The core, as well as the two friendly solutions for the corners of the market, in this class of games can be easily described using a related assignment game. We study the Alexia value and the Shapley value of this type of games. Using these solutions, we show which circumstances in the game are in favor of the provider and which are beneficial to the bidders.

Suggested Citation

  • Juan Aparicio & Natividad Llorca & Joaquin Sanchez-Soriano & Manuel A. Pulido & Julia Sancho, 2012. "Ranking Auctions: A Cooperative Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-19.
  • Handle: RePEc:wsi:igtrxx:v:14:y:2012:i:01:n:s021919891250003x
    DOI: 10.1142/S021919891250003X

    Download full text from publisher

    File URL:
    Download Restriction: Access to full text is restricted to subscribers

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    1. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Discussion Paper 2005-123, Tilburg University, Center for Economic Research.
    Full references (including those not matched with items on IDEAS)

    More about this item


    Cooperative games; ranking auctions; core; Alexia value; Shapley value; 91A12; 91B26;

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics


    Access and download statistics


    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:wsi:igtrxx:v:14:y:2012:i:01:n:s021919891250003x. 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: (Tai Tone Lim). General contact details of provider: .

    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.