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Modelling diffusion of innovations in a social network
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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.
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GUARDIOLA MARTÍNEZ, Xavier, et al. Modelling diffusion of innovations in a social network. Physical Review e. 2000. Vol. 66, num. 2, pags. 026121-1-026121-4. ISSN 1063-651X. [consulted: 24 of May of 2026]. Available at: https://hdl.handle.net/2445/18858