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Modelling diffusion of innovations in a social network
Guardiola Martínez, Xavier; Díaz Guilera, Albert; Arenas, Àlex; Pérez-Vicente, Conrado, 1962-; Llas Rubio, Mateu
Universitat de Barcelona
A simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information, agents decide whether to upgrade their level or not, balancing their possible benefit with the upgrading cost. A critical point where technological avalanches display a power-law behavior is also found. This critical point is characterized by a macroscopic observable that turns out to optimize technological growth in the stationary state. Analytical results supporting our findings are found for the globally coupled case.
26-07-2011
Mecànica estadística
Xarxes socials
Sistemes de temps discret
Statistical mechanics
Social networks
Discrete-time systems
(c) American Physical Society, 2000
Artículo
The American Physical Society
         

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Guardiola Martínez, Xavier; Díaz Guilera, Albert; Llas Rubio, Mateu; Pérez-Vicente, Conrado, 1962-
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