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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.
Mecànica estadística
Xarxes socials
Sistemes de temps discret
Statistical mechanics
Social networks
Discrete-time systems
(c) American Physical Society, 2000
The American Physical Society

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