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SUMMARY:Diffusion of innovation on networks: agent-based vs. analytical ap
proach
DTSTART;VALUE=DATE-TIME:20210702T150200Z
DTEND;VALUE=DATE-TIME:20210702T150300Z
DTSTAMP;VALUE=DATE-TIME:20240806T140627Z
UID:indico-contribution-206@indico.fis.agh.edu.pl
DESCRIPTION:Speakers: Mikołaj Szurlej (Wrocław University of Science and
Technology)\, Angelika Abramiuk-Szurlej (Wrocław University of Science a
nd Technology)\nWe study an agent-based model of innovation diffusion on t
he Watts-Strogatz random graphs. The model is based on the $q$-voter model
with a noise (with nonconformity\, in the terminology of social psycholog
y)\, which has been previously used to describe the diffusion of green pro
ducts and practices. It originates from the $q$-voter model with independe
nce\, known also as the noisy nonlinear voter or the noisy $q$-voter model
. In the original model states $\\uparrow$ (yes/agree) and $\\downarrow$ (
no/disagree) are symmetrical and in case of independent behaviour each of
them is taken with the same probability. However\, when the model is used
to describe diffusion of innovation the up-down symmetry is broken. We inv
estigate the model analytically via mean-field approximation\, which gives
the exact result in case of a complete graph\, as well as via more advanc
ed method called pair approximation to determine how the average degree of
the network influences the process of diffusion of innovation. Additional
ly\, we conduct Monte Carlo simulations to check in which cases the agent-
based model can be reduced to the analytical one and when it cannot be don
e. We obtain the $S$-shaped curve of the number of adopters in time that a
grees with empirical observations. We also highlight that the time needed
for adoption depends on model parameters. Furthermore\, we present the tra
jectories and the stationary concentration of adopted for different sets o
f parameters to systematically analyze the model and determine when the ad
option would fail.\n\nAcknowledgement\nThis research is supported by proje
ct “Diamentowy Grant” DI2019 0150 49 financed by Polish Ministry of Sc
ience and Higher Education.\n\nhttps://indico.fis.agh.edu.pl/event/69/cont
ributions/206/
LOCATION:ONLINE
URL:https://indico.fis.agh.edu.pl/event/69/contributions/206/
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