IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v3y2013i2p313-323.html
   My bibliography  Save this article

A Stochastic Game Approach for Competition over Popularity in Social Networks

Author

Listed:
  • Eitan Altman

Abstract

The global Internet has enabled a massive access of internauts to content. At the same time, it allowed individuals to use the Internet in order to distribute content. When individuals pass through a content provider to distribute contents, they can benefit from many tools that the content provider has in order to accelerate the dessimination of the content. These include caching as well as recommendation systems. The content provider gives preferential treatment to individuals who pay for advertisement. In this paper, we study competition between several contents, each characterized by some given potential popularity. We answer the question of when is it worthwhile to invest in advertisement as a function of the potential popularity of a content as well as its competing contents, who are faced with a similar question. We formulate the problem as a stochastic game with a finite state and action space and obtain the structure of the equilibria policy under a linear structure of the dissemination utility as well as on the advertisement costs. We then consider open loop control (no state information) and solve the game using a transformation into a differential game with a compact state space. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Eitan Altman, 2013. "A Stochastic Game Approach for Competition over Popularity in Social Networks," Dynamic Games and Applications, Springer, vol. 3(2), pages 313-323, June.
    • Handle: RePEc:spr:dyngam:v:3:y:2013:i:2:p:313-323
    DOI: 10.1007/s13235-012-0057-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s13235-012-0057-4
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s13235-012-0057-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Anna Karpowicz & Krzysztof Szajowski, 2007. "Double optimal stopping times and dynamic pricing problem: description of the mathematical model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(2), pages 235-253, October.
    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. Yunhan Huang & Quanyan Zhu, 2022. "Game-Theoretic Frameworks for Epidemic Spreading and Human Decision-Making: A Review," Dynamic Games and Applications, Springer, vol. 12(1), pages 7-48, 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. Hajji, Adnéne & Pellerin, Robert & Léger, Pierre-Majorique & Gharbi, Ali & Babin, Gilbert, 2012. "Dynamic pricing models for ERP systems under network externality," International Journal of Production Economics, Elsevier, vol. 135(2), pages 708-715.

    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:spr:dyngam:v:3:y:2013:i:2:p:313-323. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.