IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v23y2012i04ns0129183112500313.html
   My bibliography  Save this article

Analysis Of Critical Mass In Threshold Model Of Diffusion

Author

Listed:
  • JEEHONG KIM

    (Department of Industrial Engineering, Seoul National University, 599 Gwanak-ro, Gwanak-gu, Seoul 151-742, Republic of Korea)

  • WONCHANG HUR

    (College of Business Administration, Inha University, 253 Yonghyun-dong, Nam-gu, Incheon 402-751, Republic of Korea)

  • SUK-HO KANG

    (Department of Industrial Engineering, Seoul National University, 599 Gwanak-ro, Gwanak-gu, Seoul 151-742, Republic of Korea)

Abstract

Why does diffusion sometimes show cascade phenomena but at other times is impeded? In addressing this question, we considered a threshold model of diffusion, focusing on the formation of a critical mass, which enables diffusion to be self-sustaining. Performing an agent-based simulation, we found that the diffusion model produces only two outcomes: Almost perfect adoption or relatively few adoptions. In order to explain the difference, we considered the various properties of network structures and found that the manner in which thresholds are arrayed over a network is the most critical factor determining the size of a cascade. On the basis of the results, we derived a threshold arrangement method effective for generation of a critical mass and calculated the size required for perfect adoption.

Suggested Citation

  • Jeehong Kim & Wonchang Hur & Suk-Ho Kang, 2012. "Analysis Of Critical Mass In Threshold Model Of Diffusion," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 1-16.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:04:n:s0129183112500313
    DOI: 10.1142/S0129183112500313
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183112500313
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183112500313?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. ., 1998. "Public Choice," Chapters, in: John B. Davis & D. W. Hands & Uskali Mäki (ed.), The Handbook of Economic Methodology, chapter 97, Edward Elgar Publishing.
    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. Roger D. Congleton, 2020. "Governance by true believers: supreme duties with and without totalitarianism," Constitutional Political Economy, Springer, vol. 31(1), pages 111-141, March.
    2. Rosolino A. Candela & Vincent Geloso, 2019. "Coase and transaction costs reconsidered: the case of the English lighthouse system," European Journal of Law and Economics, Springer, vol. 48(3), pages 331-349, December.
    3. Roberto Dell’Anno, 2020. "Corruption around the world: an analysis by partial least squares—structural equation modeling," Public Choice, Springer, vol. 184(3), pages 327-350, September.
    4. Coulibaly, Adama & Biego, Godi Henri Marius & Dembele, Ardjouma & Bohoussou, Kouassi Maxime & Toure, Abba, 2013. "Cocoa Beans and Cocoa Derivatives from Cote-D’Ivoire: Investigating Ochratoxin A Level and Assessing Dietary Intake Adults," Sustainable Agriculture Research, Canadian Center of Science and Education, vol. 2(1).

    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:wsi:ijmpcx:v:23:y:2012:i:04:n:s0129183112500313. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.