2001/10/23 by Alejandro Sánchez, Alejandro D. Sanchez, Juan M. Lopez +3 · 1 citation
Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Evolutionary Game Theory and Cooperation #Opinion Dynamics and Social Influence #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.88.048701
published as Phys. Rev. Lett. 88, 048701 (2002) · 4 pages, RevTeX format, 4 postscript figs, uses epsf
arxiv created 2001/10/23 · openalex publication_date 2002/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Many social, biological, and economic systems can be approached by complex networks of interacting units. In many of these systems relations are directed in the sense that links act only in one direction (outwards or inwards). We investigate the effect of directed links on the behavior of a simple spin-like model evolving on a small-world network. This model may describe for instance the dynamics of public opinion in social influence networks. We show that directed networks may lead to a highly nontrivial phase diagram including first- and second-order phase transitions out of equilibrium.