Innovation diffusion on time-varying activity driven networks

Alessandro Rizzo, Maurizio Porfiri

Research output: Contribution to journalArticle

Abstract

Since its introduction in the 1960s, the theory of innovation diffusion has contributed to the advancement of several research fields, such as marketing management and consumer behavior. The 1969 seminal paper by Bass [F.M. Bass, Manag. Sci. 15, 215 (1969)] introduced a model of product growth for consumer durables, which has been extensively used to predict innovation diffusion across a range of applications. Here, we propose a novel approach to study innovation diffusion, where interactions among individuals are mediated by the dynamics of a time-varying network. Our approach is based on the Bass’ model, and overcomes key limitations of previous studies, which assumed timescale separation between the individual dynamics and the evolution of the connectivity patterns. Thus, we do not hypothesize homogeneous mixing among individuals or the existence of a fixed interaction network. We formulate our approach in the framework of activity driven networks to enable the analysis of the concurrent evolution of the interaction and individual dynamics. Numerical simulations offer a systematic analysis of the model behavior and highlight the role of individual activity on market penetration when targeted advertisement campaigns are designed, or a competition between two different products takes place.

Original languageEnglish (US)
Article number20
Pages (from-to)1-8
Number of pages8
JournalEuropean Physical Journal B
Volume89
Issue number1
DOIs
StatePublished - Jan 1 2016

Fingerprint

Innovation
Time varying networks
marketing
Consumer behavior
interactions
products
frequency modulation
Marketing
penetration
Computer simulation
simulation

Keywords

  • Statistical and Nonlinear Physics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Innovation diffusion on time-varying activity driven networks. / Rizzo, Alessandro; Porfiri, Maurizio.

In: European Physical Journal B, Vol. 89, No. 1, 20, 01.01.2016, p. 1-8.

Research output: Contribution to journalArticle

@article{6709d9a61d0e418c9c4146ed839a77b2,
title = "Innovation diffusion on time-varying activity driven networks",
abstract = "Since its introduction in the 1960s, the theory of innovation diffusion has contributed to the advancement of several research fields, such as marketing management and consumer behavior. The 1969 seminal paper by Bass [F.M. Bass, Manag. Sci. 15, 215 (1969)] introduced a model of product growth for consumer durables, which has been extensively used to predict innovation diffusion across a range of applications. Here, we propose a novel approach to study innovation diffusion, where interactions among individuals are mediated by the dynamics of a time-varying network. Our approach is based on the Bass’ model, and overcomes key limitations of previous studies, which assumed timescale separation between the individual dynamics and the evolution of the connectivity patterns. Thus, we do not hypothesize homogeneous mixing among individuals or the existence of a fixed interaction network. We formulate our approach in the framework of activity driven networks to enable the analysis of the concurrent evolution of the interaction and individual dynamics. Numerical simulations offer a systematic analysis of the model behavior and highlight the role of individual activity on market penetration when targeted advertisement campaigns are designed, or a competition between two different products takes place.",
keywords = "Statistical and Nonlinear Physics",
author = "Alessandro Rizzo and Maurizio Porfiri",
year = "2016",
month = "1",
day = "1",
doi = "10.1140/epjb/e2015-60933-3",
language = "English (US)",
volume = "89",
pages = "1--8",
journal = "European Physical Journal B",
issn = "1434-6028",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - Innovation diffusion on time-varying activity driven networks

AU - Rizzo, Alessandro

AU - Porfiri, Maurizio

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Since its introduction in the 1960s, the theory of innovation diffusion has contributed to the advancement of several research fields, such as marketing management and consumer behavior. The 1969 seminal paper by Bass [F.M. Bass, Manag. Sci. 15, 215 (1969)] introduced a model of product growth for consumer durables, which has been extensively used to predict innovation diffusion across a range of applications. Here, we propose a novel approach to study innovation diffusion, where interactions among individuals are mediated by the dynamics of a time-varying network. Our approach is based on the Bass’ model, and overcomes key limitations of previous studies, which assumed timescale separation between the individual dynamics and the evolution of the connectivity patterns. Thus, we do not hypothesize homogeneous mixing among individuals or the existence of a fixed interaction network. We formulate our approach in the framework of activity driven networks to enable the analysis of the concurrent evolution of the interaction and individual dynamics. Numerical simulations offer a systematic analysis of the model behavior and highlight the role of individual activity on market penetration when targeted advertisement campaigns are designed, or a competition between two different products takes place.

AB - Since its introduction in the 1960s, the theory of innovation diffusion has contributed to the advancement of several research fields, such as marketing management and consumer behavior. The 1969 seminal paper by Bass [F.M. Bass, Manag. Sci. 15, 215 (1969)] introduced a model of product growth for consumer durables, which has been extensively used to predict innovation diffusion across a range of applications. Here, we propose a novel approach to study innovation diffusion, where interactions among individuals are mediated by the dynamics of a time-varying network. Our approach is based on the Bass’ model, and overcomes key limitations of previous studies, which assumed timescale separation between the individual dynamics and the evolution of the connectivity patterns. Thus, we do not hypothesize homogeneous mixing among individuals or the existence of a fixed interaction network. We formulate our approach in the framework of activity driven networks to enable the analysis of the concurrent evolution of the interaction and individual dynamics. Numerical simulations offer a systematic analysis of the model behavior and highlight the role of individual activity on market penetration when targeted advertisement campaigns are designed, or a competition between two different products takes place.

KW - Statistical and Nonlinear Physics

UR - http://www.scopus.com/inward/record.url?scp=84955438935&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955438935&partnerID=8YFLogxK

U2 - 10.1140/epjb/e2015-60933-3

DO - 10.1140/epjb/e2015-60933-3

M3 - Article

VL - 89

SP - 1

EP - 8

JO - European Physical Journal B

JF - European Physical Journal B

SN - 1434-6028

IS - 1

M1 - 20

ER -