Social Media Networks, Fake News, and Polarization

We study how the structure of social media networks and the presence of fake news might affect the degree of misinformation and polarization in a society. For that, we analyze a dynamic model of opinion exchange in which individuals have imperfect information about the true state of the world and are partially bounded rational. Key to the analysis is the presence of internet bots: agents in the network that do not follow other agents and are seeded with a constant flow of biased information. We characterize how the flow of opinions evolves over time and evaluate the determinants of long-run disagreement among individuals in the network. To that end, we create a large set of heterogeneous random graphs and simulate a long information exchange process to quantify how the bots’ ability to spread fake news and the number and degree of centrality of agents susceptible to them affect misinformation and polarization in the long-run.

[1]  A. Banerjee,et al.  A Simple Model of Herd Behavior , 1992 .

[2]  Guillaume Bouchard,et al.  Opinion mining in social media: Modeling, simulating, and forecasting political opinions in the web , 2012, Gov. Inf. Q..

[3]  Lones Smith,et al.  Pathological Outcomes of Observational Learning , 2000 .

[4]  D. Watts,et al.  Influentials, Networks, and Public Opinion Formation , 2007 .

[5]  Paul Erdös,et al.  On random graphs, I , 1959 .

[6]  Alvaro Sandroni,et al.  Non-Bayesian Learning , 2010 .

[7]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[8]  Muhamet Yildiz,et al.  Perspectives, Opinions, and Information Flows , 2013 .

[9]  Joshua R. Smith Debate, Division, and Diversity: Political Discourse Networks in USENET Newsgroups , 2005 .

[10]  Tim Groseclose,et al.  A Measure of Media Bias , 2005 .

[11]  Nolan McCarty,et al.  2 Causes and Consequences of Polarization * , 2013 .

[12]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[13]  Thomas B. Ksiazek,et al.  The Dynamics of Audience Fragmentation: Public Attention in an Age of Digital Media , 2012 .

[14]  D. Boyd,et al.  Dynamic Debates: An Analysis of Group Polarization Over Time on Twitter , 2010 .

[15]  Joel Sobel,et al.  Group Polarization in a Model of Information Aggregation , 2015 .

[16]  C. Sunstein Republic.com 2.0 , 2007 .

[17]  J. Weibull,et al.  Political polarization , 2007, Proceedings of the National Academy of Sciences.

[18]  James Andreoni,et al.  Diverging Opinions , 2007 .

[19]  Daron Acemoglu,et al.  Fragility of Asymptotic Agreement Under Bayesian Learning , 2008 .

[20]  Glenn Ellison,et al.  Word-of-Mouth Communication and Social Learning , 1995 .

[21]  Jacob Ratkiewicz,et al.  Political Polarization on Twitter , 2011, ICWSM.

[22]  Asuman E. Ozdaglar,et al.  Spread of (Mis)Information in Social Networks , 2009, Games Econ. Behav..

[23]  C. Sunstein Republic.com , 2001 .

[24]  Asuman E. Ozdaglar,et al.  Opinion Dynamics and Learning in Social Networks , 2010, Dyn. Games Appl..

[25]  R. Aumann Agreeing to disagree. , 1976, Nature cell biology.

[26]  Jae Kook Lee,et al.  Social Media, Network Heterogeneity, and Opinion Polarization , 2014 .

[27]  S. Levin,et al.  The dynamics of political polarization , 2021, Proceedings of the National Academy of Sciences.

[28]  S. Goyal,et al.  Learning from neighbours , 1998 .

[29]  M. Degroot Reaching a Consensus , 1974 .

[30]  Nolan McCarty,et al.  Solutions to Political Polarization in America: Causes and Consequences of Polarization , 2015 .

[31]  Debraj Ray,et al.  Comparing Polarization Measures , 2012 .

[32]  Ilan Lobel,et al.  BAYESIAN LEARNING IN SOCIAL NETWORKS , 2008 .

[33]  Matthew O. Jackson,et al.  Naïve Learning in Social Networks and the Wisdom of Crowds , 2010 .

[34]  Matthew Gentzkow,et al.  Is the Internet Causing Political Polarization? Evidence from Demographics , 2017 .

[35]  Asuman E. Ozdaglar,et al.  Opinion Fluctuations and Disagreement in Social Networks , 2010, Math. Oper. Res..

[36]  Claire Cardie,et al.  A Measure of Polarization on Social Media Networks Based on Community Boundaries , 2013, ICWSM.

[37]  A. Gruzd,et al.  Investigating Political Polarization on Twitter: A Canadian Perspective , 2014 .

[38]  Glenn Ellison,et al.  Rules of Thumb for Social Learning , 1993, Journal of Political Economy.

[39]  Ali Jadbabaie,et al.  Non-Bayesian Social Learning , 2011, Games Econ. Behav..

[40]  Alireza Tahbaz-Salehi,et al.  A Necessary and Sufficient Condition for Consensus Over Random Networks , 2008, IEEE Transactions on Automatic Control.

[41]  Sean J. Westwood,et al.  Selective Exposure in the Age of Social Media , 2014, Commun. Res..

[42]  E. Seneta Coefficients of ergodicity: structure and applications , 1979, Advances in Applied Probability.

[43]  David M. Kreps,et al.  PERSUASION BIAS , SOCIAL INFLUENCE , AND UNIDIMENSIONAL , 2003 .

[44]  Jesse M. Shapiro,et al.  Measuring Polarization in High-Dimensional Data: Method and Application to Congressional Speech , 2016 .

[45]  E. Seneta,et al.  Towards consensus: some convergence theorems on repeated averaging , 1977, Journal of Applied Probability.

[46]  Jesse M. Shapiro,et al.  Media Bias and Reputation , 2005, Journal of Political Economy.

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

[48]  Marina Azzimonti,et al.  Partisan Conflict and Private Investment , 2015 .

[49]  Pablo Barberá How Social Media Reduces Mass Political Polarization . Evidence from Germany , Spain , and the U . S . , 2014 .

[50]  Drew Fudenberg,et al.  Word-of-mouth learning , 2004, Games Econ. Behav..