Adoption by a particular group of some cultural product may be inhibited both by large numbers of its own members already having adopted but also, in particular, by members of another group having adopted.
Authors
Syed Shariq Husain, Assistant Professor, Jindal School of Government and Public Policy, O.P. Jindal Global University, Sonipat Narela Road, Sonipat, India.
Joseph Whitmeyer, Department of Sociology, University of North Carolina at Charlotte, Charlotte, USA.
Anirban Chakraborti, Centre for Complexity Economics, Applied Spirituality and Public Policy, Jindal School of Government and Public Policy, O. P. Jindal Global University, Sonipat Narela Road, Sonipat, 131001, India; School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi, 110067, India; Centro Internacional de Ciencias, AC Avenida Universidad 1001, Campus UAEM-UNAM, 62210, Cuernavaca, Mexico; School of Engineering and Technology, BML Munjal University, Sidhrawali, Gurugram, 122413, Haryana, India.
Summary
We present a new model for the diffusion of innovation. Here, the population is segmented into distinct groups. Adoption by a particular group of some cultural product may be inhibited both by large numbers of its own members already having adopted but also, in particular, by members of another group having adopted. Intergroup migration is also permitted.
We determine the equilibrium points and carry out stability analysis for the model for a two-group population. We also simulate a discrete time version of the model. Lastly, we present data on tablet use in eight countries from 2012 to 2016 and show that the relationship between use in the “under 25” age group and “55+” age group conforms to the model.
Published in: Chakraborti, A., Haven, E., Patra, S., Singh, N. (eds) Quantum Decision Theory and Complexity Modelling in Economics and Public Policy. New Economic Windows. Springer, Cham.
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