External activation promoting consensus formation in the opinion model with interest decay

Abstract We put forward an opinion model that considers internal decay and external activation or deactivation. Agents may withdraw from the discussion, meanwhile, these inactive agents are likely to be motivated by active neighbors. In addition, external influence from outside circumstances is added to the population. We focus on the majority rule of opinion exchange. Our investigations reveal under the impact of external circumstances, the system evolves to different stable states. One opinion can finally be made dominant when the internal motivation is large sufficiently. However, without external activation, consensus is hardly reached in the system with interest decay.

[1]  Long Wang,et al.  Coevolutionary dynamics of opinions and networks: from diversity to uniformity. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  H. Hinrichsen,et al.  Critical coarsening without surface tension: the universality class of the voter model. , 2001, Physical review letters.

[3]  Mauro Mobilia,et al.  Fixation and polarization in a three-species opinion dynamics model , 2011, ArXiv.

[4]  Nazareno G F Medeiros,et al.  Domain motion in the voter model with noise. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  K. Sznajd-Weron,et al.  Some new results on one-dimensional outflow dynamics , 2007, 0712.2035.

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

[7]  Nuno Crokidakis,et al.  Consequence of reputation in the Sznajd consensus model , 2010 .

[8]  André C R Martins,et al.  Mobility and social network effects on extremist opinions. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  F. Schweitzer,et al.  Decelerating microdynamics can accelerate macrodynamics in the voter model. , 2007, Physical review letters.

[10]  S Redner,et al.  Majority versus minority dynamics: phase transition in an interacting two-state spin system. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  M. Newman,et al.  Nonequilibrium phase transition in the coevolution of networks and opinions. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  S. Redner,et al.  Dynamics of majority rule in two-state interacting spin systems. , 2003, Physical review letters.

[13]  Krapivsky.  Kinetics of monomer-monomer surface catalytic reactions. , 1992, Physical review. A, Atomic, molecular, and optical physics.

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

[15]  Claudio J. Tessone,et al.  Diversity-induced resonance in a model for opinion formation , 2008, 0808.0522.

[16]  S. Galam.  Application of statistical physics to politics , 1999, cond-mat/0004306.

[17]  Peter D. Taylor,et al.  Evolution of cooperation in a finite homogeneous graph , 2007, Nature.

[18]  G J Baxter,et al.  Fixation and consensus times on a network: a unified approach. , 2008, Physical review letters.

[19]  Dirk Jacobmeier.  FOCUSING OF OPINIONS IN THE DEFFUANT MODEL: FIRST IMPRESSION COUNTS , 2006 .

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

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

[22]  R. Lambiotte.  How does degree heterogeneity affect an order-disorder transition? , 2007 .

[23]  Shlomo Havlin,et al.  Dynamic opinion model and invasion percolation. , 2009, Physical review letters.

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

[25]  Ying-Cheng Lai,et al.  Convergence to global consensus in opinion dynamics under a nonlinear voter model , 2010, 1008.0901.

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

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

[28]  Sven Banisch,et al.  On the Empirical Relevance of the Transient in Opinion Models , 2010, 1003.5578.

[29]  Fei Xiong,et al.  An opinion formation model with dissipative structure , 2011 .

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

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

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