Dynamics of social balance on networks
Copyright policy )Dynamics of social balance on networks
We study the evolution of social networks that contain both friendly and unfriendly pairwise links between individual nodes. The network is endowed with dynamics in which the sense of a link in an imbalanced triad--a triangular loop with 1 or 3 unfriendly links--is reversed to make the triad balanced. With this dynamics, an infinite network undergoes a dynamic phase transition from a steady state to "paradise"--all links are friendly--as the propensity p for friendly links in an update event passes through 1/2. A finite network always falls into a socially-balanced absorbing state where no imbalanced triads remain. If the additional constraint that the number of imbalanced triads in the network does not increase in an update is imposed, then the network quickly reaches a balanced final state.
10 pages, 7 figures, 2-column revtex4 format
- Boston University United States
- Department of Physics Boston University United States
- THE TRUSTEES OF BOSTON UNIVERSITY United States
- Boston College United States
- Los Alamos National Laboratory United States
Models, Statistical, Statistical Mechanics (cond-mat.stat-mech), Population Dynamics, Social Support, FOS: Physical sciences, Social Environment, Adaptation, Physiological, Biological Evolution, Models, Biological, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Predatory Behavior, Animals, Humans, Computer Simulation, Cooperative Behavior, Social Behavior, Adaptation and Self-Organizing Systems (nlin.AO), Condensed Matter - Statistical Mechanics
Models, Statistical, Statistical Mechanics (cond-mat.stat-mech), Population Dynamics, Social Support, FOS: Physical sciences, Social Environment, Adaptation, Physiological, Biological Evolution, Models, Biological, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Predatory Behavior, Animals, Humans, Computer Simulation, Cooperative Behavior, Social Behavior, Adaptation and Self-Organizing Systems (nlin.AO), Condensed Matter - Statistical Mechanics
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