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Modeling diffusion of innovations in a social network
X Guardiola1, A Díaz-Guilera, C J Pérez
1Departament de Física Fonamental, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
Summary
This study models innovation diffusion in social networks, finding a critical point where technology adoption cascades follow power-law patterns. This optimal point enhances long-term technological growth.
Area of Science:
- Complex Systems
- Sociophysics
- Innovation Studies
Background:
- Technological adoption in social networks is influenced by individual decisions and network structures.
- Understanding the dynamics of innovation diffusion is crucial for economic and social development.
Purpose of the Study:
- To introduce a simple model of innovation diffusion in a social network considering upgrading costs.
- To identify conditions leading to power-law behavior in technological avalanches.
- To find a macroscopic observable that optimizes technological growth.
Main Methods:
- Agent-based modeling of technological level and upgrading decisions.
- Analysis of local information influencing agent behavior.
- Mathematical analysis for the globally coupled case.
Main Results:
- A critical point is identified where technological avalanches exhibit power-law behavior.
- This critical point is associated with an observable that optimizes stationary technological growth.
- Analytical results confirm findings for globally coupled networks.
Conclusions:
- The model provides insights into the mechanisms driving innovation diffusion and technological cascades.
- The identified critical point offers a strategy for maximizing technological advancement in social networks.
- The findings are supported by analytical solutions in a simplified network structure.