Dynamics of non-conservative voters
(2008) Europhysics Letters : a letters journal exploring the frontiers of physics — Vol. 82, n° 1 (2008)
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- Abstract
- We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting rule, the population may exhibit a bias toward zero magnetization or toward consensus, and the average magnetization is generally not conserved. We use a decoupling approximation to truncate the equation hierarchy for multi-point spin correlations and thereby derive the probability to reach a final state of. consensus as a function of the initial magnetization. The case when voters are influenced by more distant voters is also considered by investigating the Sznajd model. Copyright (c) EPLA, 2008.
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Lambiotte, R., & Redner, S. (2008). Dynamics of non-conservative voters. Europhysics Letters : a letters journal exploring the frontiers of physics, 82(1). https://doi.org/10.1209/0295-5075/82/18007 (Original work published 2008)