Opinion Dynamics with Disagreement and Modulated Information

Opinion dynamics concerns social processes through which populations or groups of individuals agree or disagree on specific issues. As such, modelling opinion dynamics represents an important research area that has been progressively acquiring relevance in many different domains. Existing approaches have mostly represented opinions through discrete binary or continuous variables by exploring a whole panoply of cases: e.g. independence, noise, external effects, multiple issues. In most of these cases the crucial ingredient is an attractive dynamics through which similar or similar enough agents get closer. Only rarely the possibility of explicit disagreement has been taken into account (i.e., the possibility for a repulsive interaction among individuals’ opinions), and mostly for discrete or 1-dimensional opinions, through the introduction of additional model parameters. Here we introduce a new model of opinion formation, which focuses on the interplay between the possibility of explicit disagreement, modulated in a self-consistent way by the existing opinions’ overlaps between the interacting individuals, and the effect of external information on the system. Opinions are modelled as a vector of continuous variables related to multiple possible choices for an issue. Information can be modulated to account for promoting multiple possible choices. Numerical results show that extreme information results in segregation and has a limited effect on the population, while milder messages have better success and a cohesion effect. Additionally, the initial condition plays an important role, with the population forming one or multiple clusters based on the initial average similarity between individuals, with a transition point depending on the number of opinion choices.

[1]  V. Poghosyan,et al.  Numerical study of the correspondence between the dissipative and fixed-energy Abelian sandpile models. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Katarzyna Sznajd-Weron,et al.  Phase transitions in the q-voter model with two types of stochastic driving. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Alejandro Radillo-Díaz,et al.  Axelrod models of social influence with cultural repulsion. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Serge Galam,et al.  SOCIOPHYSICS: A REVIEW OF GALAM MODELS , 2008, 0803.1800.

[5]  Evguenii V. Kurmyshev,et al.  Dynamics of bounded confidence opinion in heterogeneous social networks: concord against partial antagonism , 2011, ArXiv.

[6]  Charles Duhigg,et al.  The Power of Habit: Why We Do What We Do in Life and Business , 2012 .

[7]  R. Axelrod The Dissemination of Culture , 1997 .

[8]  Nuno Crokidakis,et al.  Effects of mass media on opinion spreading in the Sznajd sociophysics model , 2011, ArXiv.

[9]  Andrzej Nowak,et al.  Simulating the coordination of individual economic decisions , 2000 .

[10]  B. Latané,et al.  Statistical mechanics of social impact. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[11]  Robin R. Vallacher,et al.  Dynamical Social Psychology , 1998 .

[12]  Guillaume Deffuant,et al.  The Leviathan Model: Absolute Dominance, Generalised Distrust, Small Worlds and Other Patterns Emerging from Combining Vanity with Opinion Propagation , 2012, J. Artif. Soc. Soc. Simul..

[13]  Jan Lorenz Fostering Consensus in Multidimensional Continuous Opinion Dynamics under Bounded Confidence , 2007, 0708.3172.

[14]  Francisco W. S. Lima,et al.  Controlling the Tax Evasion Dynamics via Majority-Vote Model on Various Topologies , 2012 .

[15]  Guillaume Deffuant,et al.  Mixing beliefs among interacting agents , 2000, Adv. Complex Syst..

[16]  Dirk Helbing Managing Complexity: Insights, Concepts, Applications , 2007 .

[17]  Rainer Hegselmann,et al.  Truth and Cognitive Division of Labour: First Steps Towards a Computer Aided Social Epistemology , 2006, J. Artif. Soc. Soc. Simul..

[18]  Timoteo Carletti,et al.  How to make an efficient propaganda , 2006 .

[19]  Rainer Hegselmann,et al.  Opinion dynamics and bounded confidence: models, analysis and simulation , 2002, J. Artif. Soc. Soc. Simul..

[20]  S. Fortunato,et al.  Statistical physics of social dynamics , 2007, 0710.3256.

[21]  Lucas R. Peres,et al.  The mass media destabilizes the cultural homogenous regime in Axelrod's model , 2009, 0910.0866.

[22]  Raul Toral,et al.  Mass media and repulsive interactions in continuous-opinion dynamics , 2010, 1004.0103.

[23]  Jan Lorenz,et al.  Continuous opinion dynamics of multidimensional allocation problems under bounded confidence: More dimensions lead to better chances for consensus , 2007, 0708.2923.

[24]  Hyunsuk Hong,et al.  Conformists and contrarians in a Kuramoto model with identical natural frequencies. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Andrzej Nowak,et al.  Modeling Social Change with Cellular Automata , 1996 .

[26]  Andre C. R. Martins,et al.  CONTINUOUS OPINIONS AND DISCRETE ACTIONS IN OPINION DYNAMICS PROBLEMS , 2007, 0711.1199.

[27]  Robert M. Entman,et al.  Political Disagreement: The Survival of Diverse Opinions within Communication Networks , 2005 .

[28]  V. Latora,et al.  VECTOR OPINION DYNAMICS IN A BOUNDED CONFIDENCE CONSENSUS MODEL , 2005, physics/0504017.

[29]  Adrian Carro,et al.  The Role of Noise and Initial Conditions in the Asymptotic Solution of a Bounded Confidence, Continuous-Opinion Model , 2012, Journal of Statistical Physics.

[30]  Guillaume Deffuant,et al.  Meet, discuss, and segregate! , 2002, Complex..

[31]  Serge Galam,et al.  Public debates driven by incomplete scientific data: the cases of evolution theory, global warming and H1N1 pandemic influenza , 2010, ArXiv.

[32]  M. G. Cosenza,et al.  Spontaneous ordering against an external field in non-equilibrium systems , 2008, 0811.2726.

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

[34]  Serge Galam,et al.  Market efficiency, anticipation and the formation of bubbles-crashes , 2011, ArXiv.

[35]  Katarzyna Sznajd-Weron,et al.  Opinion evolution in closed community , 2000, cond-mat/0101130.

[36]  Katarzyna Sznajd-Weron,et al.  Spontaneous Reorientations In A Model Of Opinion Dynamics With Anticonformists , 2010 .

[37]  Floriana Gargiulo,et al.  The saturation threshold of public opinion: are aggressive media campaigns always effective? , 2008, 0807.3937.

[38]  Guillermo Abramson,et al.  Vector opinion dynamics in a model for social influence , 2003 .

[39]  José F. Fontanari,et al.  The media effect in Axelrod's model explained , 2011, ArXiv.

[40]  Sascha Kurz,et al.  On the Hegselmann–Krause conjecture in opinion dynamics , 2014, ArXiv.

[41]  Katarzyna Sznajd-Weron,et al.  Phase transition in the Sznajd model with independence , 2011, ArXiv.