Guardiola Martínez, XavierDíaz Guilera, AlbertArenas, ÀlexPérez-Vicente, Conrado, 1962-Llas Rubio, Mateu2011-07-072011-07-0720021063-651Xhttps://hdl.handle.net/2445/18858A 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.4 p.application/pdfeng(c) American Physical Society, 2000Mecànica estadísticaXarxes socialsSistemes de temps discretStatistical mechanicsSocial networksDiscrete-time systemsModelling diffusion of innovations in a social networkinfo:eu-repo/semantics/article503987info:eu-repo/semantics/openAccess