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Voter models and external influence.

Authors :
Majmudar, Jimit R.
Krone, Stephen M.
Baumgaertner, Bert O.
Tyson, Rebecca C.
Source :
Journal of Mathematical Sociology; 2020, Vol. 44 Issue 1, p1-11, 11p, 1 Diagram, 1 Chart, 4 Graphs
Publication Year :
2020

Abstract

In this paper, we extend the voter model (VM) and the threshold voter model (TVM) to include external influences modeled as a jump process. We study the newly-formulated models both analytically and computationally, employing diffusion approximations and mean field approximations. We derive results pertaining to the probability of reaching consensus on a particular opinion and also the expected consensus time. We find that although including an external influence leads to a faster consensus in general, this effect is more pronounced in the VM as compared to the TVM. Our findings suggest the potential importance of external influences in addition to local interactions. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
JUMP processes
VOTERS

Details

Language :
English
ISSN :
0022250X
Volume :
44
Issue :
1
Database :
Complementary Index
Journal :
Journal of Mathematical Sociology
Publication Type :
Academic Journal
Accession number :
141376856
Full Text :
https://doi.org/10.1080/0022250X.2019.1625349