Dynamics of bounded confidence opinion in heterogeneous social networks: concord against partial antagonism

Bounded confidence models of opinion dynamics in social networks have been actively studied in recent years, in particular, opinion formation and extremism propagation along with other aspects of social dynamics. In this work, after an analysis of limitations of the Deffuant–Weisbuch (DW) bounded confidence, relative agreement model, we propose the mixed model that takes into account two psychological types of individuals. Concord agents (C-agents) are friendly people; they interact in a way that their opinions always get closer. Agents of the other psychological type show partial antagonism in their interaction (PA-agents). Opinion dynamics in heterogeneous social groups, consisting of agents of the two types, was studied on different social networks: Erdos–Renyi random graphs, small-world networks and complete graphs. Limit cases of the mixed model, pure C- and PA-societies, were also studied. We found that group opinion formation is, qualitatively, almost independent of the topology of networks used in this work. Opinion fragmentation, polarization and consensus are observed in the mixed model at different proportions of PA- and C-agents, depending on the value of initial opinion tolerance of agents. As for the opinion formation and arising of “dissidents”, the opinion dynamics of the C-agents society was found to be similar to that of the DW model, except for the rate of opinion convergence. Nevertheless, mixed societies showed dynamics and bifurcation patterns notably different to those of the DW model. The influence of biased initial conditions over opinion formation in heterogeneous social groups was also studied versus the initial value of opinion uncertainty, varying the proportion of the PA- to C-agents. Bifurcation diagrams showed an impressive evolution of collective opinion, in particular, radical changes of left to right consensus or vice versa at an opinion uncertainty value equal to 0.7 in the model with the PA/C mixture of population near 50/50.

[1]  Guillaume Deffuant,et al.  Comparing Extremism Propagation Patterns in Continuous Opinion Models , 2006, J. Artif. Soc. Soc. Simul..

[2]  Wander Jager,et al.  Uniformity, Bipolarization and Pluriformity Captured as Generic Stylized Behavior with an Agent-Based Simulation Model of Attitude Change , 2005, Comput. Math. Organ. Theory.

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

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

[5]  Guillaume Deffuant,et al.  A Rejection Mechanism in 2D Bounded Confidence Provides More Conformity , 2008, Adv. Complex Syst..

[6]  F. Amblard,et al.  The role of network topology on extremism propagation with the Relative Agreement opinion dynamics , 2004 .

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

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

[9]  Gerardo Iñiguez,et al.  Opinion and community formation in coevolving networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

[12]  Jan Lorenz,et al.  Continuous Opinion Dynamics under Bounded Confidence: A Survey , 2007, 0707.1762.

[13]  Jan Lorenz,et al.  Heterogeneous bounds of confidence: Meet, discuss and find consensus! , 2008, Complex..

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

[15]  S. Galam.  Minority opinion spreading in random geometry , 2002, cond-mat/0203553.

[16]  Jan Lorenz.  Heterogeneous bounds of confidence: Meet, discuss and find consensus! , 2010 .

[17]  W. Weidlich,et al.  THE STATISTICAL DESCRIPTION OF POLARIZATION PHENOMENA IN SOCIETY , 1971 .

[18]  Y. Moreno,et al.  Effects of mass media action on the Axelrod model with social influence. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Laurent Salzarulo,et al.  A Continuous Opinion Dynamics Model Based on the Principle of Meta-Contrast , 2006, J. Artif. Soc. Soc. Simul..

[20]  Frank Schweitzer,et al.  Brownian Agents and Active Particles: Collective Dynamics in the Natural and Social Sciences , 2003 .

[21]  Guillaume Deffuant,et al.  How can extremism prevail? A study based on the relative agreement interaction model , 2002, J. Artif. Soc. Soc. Simul..

[22]  Serge Galam,et al.  Local dynamics vs. social mechanisms: A unifying frame , 2005 .

[23]  Serge Galam,et al.  Fragmentation versus stability in bimodal coalitions , 1996 .

[24]  B. Latané.  The psychology of social impact. , 1981 .