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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, DÍAZ GUILERA, Albert, ARENAS, Àlex, PÉREZ-VICENTE, Conrado, LLAS RUBIO, Mateu. Modelling diffusion of innovations in a social network. _Physical Review e_. 2000. Vol. 66, núm. 2, pàgs. 026121-1-026121-4. [consulta: 22 de febrer de 2026]. ISSN: 1063-651X. [Disponible a: https://hdl.handle.net/2445/18858]

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