Effect of initial concentration and spatial heterogeneity of active agent distribution on opinion dynamics
We analyze the effect of spatial heterogeneity in the initial spin distribution on spin dynamics in a three-state square lattice divided into spatial cells (districts). In the spirit of the statistical mechanics of social impact, we introduce a dominant influence rule (DIR), according to which, in a single update step, a chosen node adopts the state determined by the influence of its discussion group formed by the node itself and its neighbors within one or more coordination spheres. In contrast to models based on some form of majority rule (MR), a system governed by the DIR is easily trapped in a stable non-consensus state, if all nodes of the discussion group have the same weight of influence. To ensure that a consensus in the DIR system is necessarily reached, we need to put a stochastic process in the update rule. Further, the stochastic DIR model is used as a starting point for understanding the effect of spatial heterogeneity of active agent (non-zero spin) distribution on the exit probabilities. Initially, the positive and negative spins (active agents) are assigned to some nodes with non-uniform spatial distributions; while the rest of the nodes remain in the state with spin zero (uncommitted voters). By varying the relative means and skewness of the initial spin distributions, we observe critical behaviors of exit probabilities in finite size systems. The critical exponents are obtained by Monte Carlo simulations. The results of numerical simulations are discussed in the context of social dynamics.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 390 (2011)
Issue (Month): 21 ()
|Contact details of provider:|| Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Huang, Gan & Cao, Jinde & Wang, Guanjun & Qu, Yuzhong, 2008. "The strength of the minority," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4665-4672.
- Galam, Serge, 1999. "Application of statistical physics to politics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 132-139.
- Pabjan, Barbara & Pękalski, Andrzej, 2008. "Model of opinion forming and voting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6183-6189.
- Katarzyna Sznajd-Weron & Józef Sznajd, 2000.
"Opinion Evolution In Closed Community,"
International Journal of Modern Physics C (IJMPC),
World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
- Vilela, André L.M. & Moreira, F.G. Brady, 2009. "Majority-vote model with different agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4171-4178.
- C. J. Tessone & R. Toral, 2004. "Neighborhood models of minority opinion spreading," Computing in Economics and Finance 2004 206, Society for Computational Economics.
- Galam, Serge, 2004. "The dynamics of minority opinions in democratic debate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 56-62.
- Callander, Steven, 2008. "Majority rule when voters like to win," Games and Economic Behavior, Elsevier, vol. 64(2), pages 393-420, November.
- Ding, Fei & Liu, Yun & Shen, Bo & Si, Xia-Meng, 2010. "An evolutionary game theory model of binary opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1745-1752.
- Galam, Serge & Chopard, Bastien & Droz, Michel, 2002. "Killer geometries in competing species dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 256-263.
- Rainer Hegselmann & Ulrich Krause, 2002. "Opinion Dynamics and Bounded Confidence Models, Analysis and Simulation," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 5(3), pages 1-2.
- Melatagia Yonta, Paulin & Ndoundam, René, 2009. "Opinion dynamics using majority functions," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 223-244, March.
- Galam, Serge & Jacobs, Frans, 2007. "The role of inflexible minorities in the breaking of democratic opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 366-376.
- Lima, F.W.S. & Sousa, A.O. & Sumuor, M.A., 2008. "Majority-vote on directed Erdős–Rényi random graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3503-3510.
When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:390:y:2011:i:21:p:3876-3887. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.