Modelling diffusion of innovations in a social network

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...

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Detalles Bibliográficos
Autores: Guardiola Martínez, Xavier, Díaz Guilera, Albert, Arenas, Àlex, Pérez-Vicente, Conrado, 1962-, Llas Rubio, Mateu
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18858
Acceso en línea:https://hdl.handle.net/2445/18858
Access Level:acceso abierto
Palabra clave:Mecànica estadística
Xarxes socials
Sistemes de temps discret
Statistical mechanics
Social networks
Discrete-time systems
Descripción
Sumario: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.