NDLI: Temporal Evolution of Social Innovation: What Matters?

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Kulkarni, Varsha S.
Copyright Year	2016
Abstract	Variations in patterns of innovation propagation found across complex networks are governed by the preference for an innovation and the topology (or connectivity pattern) of a network. This paper incorporates the interplay of these two features, which has received scant attention so far, in a simple model to study the temporal evolution of innovation in a social network. An individual upon interaction with an acceptor in the neighborhood progresses from an uninformed state to being informed before accepting the innovation, with a probability $\lambda$ that specifies the preference for innovation. Using only one intermediate information acquisition stage, the model concisely brings out a variety of patterns. Time taken to attain maximum velocity in a class of connectivity $k$ and population $N_k$ depends on $\lambda^{-2}k^{-2}N_{k}^{1/2}$. More importantly, we establish the lower bound that the average connectivity of a random network having minimum connectivity as low as 2 can attain and still be able to overtake the corresponding innovation emergence in a scale-free network. We show computationally and analytically the conditions in which the propagation in random networks may lead or lag behind that in scale-free networks. Hierarchical propagation is evident across connectivity classes within scale-free networks, as well as across random networks with distinct values of $k$, population. For highly preferred innovations, however, the hierarchy within scale-free networks tends to be insignificant. We verify using stochastic dominance, an uncertainty in class contributions in the upper range of connectivity. This makes innovation hard to administer in finite size networks.
Starting Page	1485
Ending Page	1500
Page Count	16
File Format	PDF
DOI	10.1137/15M1040797
e-ISSN	15360040
Issue Number	3
Volume Number	15
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2016-08-09
Access Restriction	Subscribed
Subject Keyword	innovation diffusion emergence time social networks preference Social networks dominance network structure hierarchical propagation
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in