Heterogeneous Voter Models

Details Heterogeneous Voter Models Heterogeneous Voter Models

2010-03-03

arxiv.org/abs/1003.0768v2

Phys. Rev. E 82, 010103(R) (2010)

Physics

Physics and Society

4 pages, 4 figures, 2-column revtex format. Version 2 has minor changes, for publication in PRE rapid communications

Scientific paper

10.1103/PhysRevE.82.010103

We introduce the heterogeneous voter model (HVM), in which each agent has its own intrinsic rate to change state, reflective of the heterogeneity of real people, and the partisan voter model (PVM), in which each agent has an innate and fixed preference for one of two possible opinion states. For the HVM, the time until consensus is reached is much longer than in the classic voter model. For the PVM in the mean-field limit, a population evolves to a "selfish" state, where each agent tends to be aligned with its internal preference. For finite populations, discrete fluctuations ultimately lead to consensus being reached in a time that scales exponentially with population size.

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