| Issue |
EPL
Volume 82, Number 1, April 2008
|
|
|---|---|---|
| Article Number | 18007 | |
| Number of page(s) | 5 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/82/18007 | |
| Published online | 26 March 2008 | |
Dynamics of non-conservative voters
1
INMA, Université catholique de Louvain - 4 avenue Georges Lemaitre, B-1348 Louvain-la-Neuve, Belgium, EU
2
Center for Polymer Studies and Physics Department, Boston University - Boston, MA 02215, USA
Corresponding authors: Renaud.Lambiotte@uclouvain.be redner@bu.edu
Received:
4
December
2007
Accepted:
17
March
2008
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.
PACS: 89.75.-k – Complex systems / 02.50.Le – Decision theory and game theory / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2008
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