Volume 82, Number 1, April 2008
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||26 March 2008|
Dynamics of non-conservative voters
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 firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.