ANALYSIS OF CRITICAL MASS IN THRESHOLD MODEL OF DIFFUSION

Jeehong Kim (), Wonchang Hur () and Suk-Ho Kang ()
Additional contact information
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

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 04, 1-16

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.

Keywords: Diffusion; threshold model; influence network; critical mass; cascade; 89.75.Fb (search for similar items in EconPapers)
Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183112500313
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:23:y:2012:i:04:n:s0129183112500313

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183112500313

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().