期刊
CHAOS
卷 21, 期 2, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3598450
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资金
- Army Research Laboratory [W911NF-09-2-0053]
- Army Research Office [W911NF-09-1-0254]
- Office of Naval Research [N00014-09-1-0607]
We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with or without a bias. Considering a class of individual- based models on finite complete graphs, we introduce a coarse-graining approach (lumping microscopic variables into macrostates) to analyze the ordering dynamics in an associated random-walk framework. Within this framework, yielding a linear system, we derive general equations for the expected consensus time and the expected time spent in each macro-state. Further, we present the asymptotic solutions of the 2-word naming game and separately discuss its behavior under the influence of an external field and with the introduction of committed agents. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3598450]
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