Abstract
We introduce a two-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of randomly selected agents, consensus is reached in a time that scales , where is the number of agents. On finite-dimensional lattices, where a group is a contiguous cluster, the consensus time fluctuates strongly between realizations and grows as a dimension-dependent power of . The upper critical dimension appears to be larger than 4. The final opinion always equals that of the initial majority except in one dimension.
- Received 12 March 2003
DOI:https://doi.org/10.1103/PhysRevLett.90.238701
©2003 American Physical Society