Nonuniversal opinion dynamics driven by opposing external influences.

We study the opinion dynamics of a generalized voter model in which N voters are additionally influenced by two opposing news sources whose effect is to promote political polarization. As the influence of these news sources is increased, the mean time to reach consensus scales nonuniversally as N^{α}. The parameter α quantifies the influence of the news sources and increases without bound as the news sources become increasingly influential. The time to reach a politically polarized state, in which roughly equal fractions of the populations are in each opinion state, is generally short, and the steady-state opinion distribution exhibits a transition from near consensus to a politically polarized state as a function of α.

[1]  S. Iyengar,et al.  Fear and Loathing across Party Lines: New Evidence on Group Polarization , 2015 .

[2]  이종복,et al.  20 , 1995, Magical Realism for Non-Believers.

[3]  Sidney Redner,et al.  Can partisan voting lead to truth? , 2010, ArXiv.

[4]  Krzysztof Suchecki,et al.  Voter model dynamics in complex networks: Role of dimensionality, disorder, and degree distribution. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  A. Gelman,et al.  Partisans without Constraint: Political Polarization and Trends in American Public Opinion1 , 2008, American Journal of Sociology.

[6]  Matthew Levendusky.  Why Do Partisan Media Polarize Viewers , 2013 .

[7]  R. Holley,et al.  Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model , 1975 .

[8]  Naoki Masuda,et al.  Voter model on the two-clique graph. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  M. Mobilia,et al.  Voting and catalytic processes with inhomogeneities. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  N. Stroud.  Polarization and Partisan Selective Exposure , 2010 .

[11]  M. Prior,et al.  Media and Political Polarization , 2013 .

[12]  A. Bergquist,et al.  60 , 2019, Tao te Ching.

[13]  S. Redner,et al.  On the role of zealotry in the voter model , 2007 .

[14]  S. Galam,et al.  The role of inflexible minorities in the breaking of democratic opinion dynamics , 2007, physics/0703021.

[15]  S. Redner,et al.  Dynamics of confident voting , 2011, 1111.3883.

[16]  J. Stoyanov.  A Guide to First‐passage Processes , 2003 .

[17]  P. Clifford,et al.  A model for spatial conflict , 1973 .

[18]  S. Redner,et al.  Voter models on heterogeneous networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  M. Mobilia.  Does a single zealot affect an infinite group of voters? , 2003, Physical review letters.

[20]  D. Sherrington.  Stochastic Processes in Physics and Chemistry , 1983 .

[21]  Claudio Castellano,et al.  Incomplete ordering of the voter model on small-world networks , 2003 .

[22]  S. Redner,et al.  Heterogeneous voter models. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  59 , 2019, Critical Care Medicine.

[24]  Michael G. Rabbat,et al.  The Effect of Exogenous Inputs and Defiant Agents on Opinion Dynamics With Local and Global Interactions , 2012, IEEE Journal of Selected Topics in Signal Processing.

[25]  Flávio L. Pinheiro,et al.  Consensus and polarization in competing complex contagion processes , 2018, Journal of the Royal Society Interface.

[26]  Maxi San Miguel,et al.  First-passage distributions for the one-dimensional Fokker-Planck equation , 2018, Physical Review E.

[27]  Maxi San Miguel,et al.  Is the Voter Model a model for voters? , 2013, Physical review letters.

[28]  Kyu S. Hahn,et al.  Red Media, Blue Media: Evidence of Ideological Selectivity in Media Use , 2009 .

[29]  Sidney Redner,et al.  A guide to first-passage processes , 2001 .

[30]  S. Redner,et al.  Reality-inspired voter models: A mini-review , 2018, Comptes Rendus Physique.

[31]  J. T. Cox,et al.  Coalescing Random Walks and Voter Model Consensus Times on the Torus in $\mathbb{Z}^d$ , 1989 .

[32]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[33]  Thilo Gross,et al.  Consensus time and conformity in the adaptive voter model. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  David Mukamel,et al.  Motion of condensates in non-Markovian zero-range dynamics , 2012 .

[35]  S. Redner,et al.  Voter model on heterogeneous graphs. , 2004, Physical review letters.

[36]  H. Kramers.  Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .

[37]  M. Fiorina,et al.  Political Polarization in the American Public , 2008 .

[38]  S. Redner,et al.  Dynamics of vacillating voters , 2007, 0710.0914.

[39]  Alain Barrat,et al.  Who's talking first? Consensus or lack thereof in coevolving opinion formation models. , 2007, Physical review letters.

[40]  Haiying Shen,et al.  TOP , 2019, Encyclopedia of Autism Spectrum Disorders.

[41]  Jari Saramäki,et al.  Dynamics of latent voters. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  S. Iyengar,et al.  The Home as a Political Fortress: Family Agreement in an Era of Polarization , 2018, The Journal of Politics.

[43]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[44]  Boleslaw K. Szymanski,et al.  Social consensus through the influence of committed minorities , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[45]  Raul Toral,et al.  Zealots in the mean-field noisy voter model. , 2017, Physical review. E.

[46]  Ali Yurukoglu,et al.  Bias in Cable News: Persuasion and Polarization , 2014 .