Neighborhood models of minority opinion spreading

Abstract.We study the effect of finite size population in Galam’s model [Eur. Phys. J. B 25, 403 (2002)] of minority opinion spreading and introduce neighborhood models that account for local spatial effects. For systems of different sizes N, the time to reach consensus is shown to scale as $\ln N$ in the original version, while the evolution is much slower in the new neighborhood models. The threshold value of the initial concentration of minority supporters for the defeat of the initial majority, which is independent of N in Galam’s model, goes to zero with growing system size in the neighborhood models. This is a consequence of the existence of a critical size for the growth of a local domain of minority supporters.

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

[2]  Thomas C. Schelling,et al.  Dynamic models of segregation , 1971 .

[3]  Mark S. Granovetter Threshold Models of Collective Behavior , 1978, American Journal of Sociology.

[4]  A. Bray Theory of phase-ordering kinetics , 1994, cond-mat/9501089.

[5]  Bastien Chopard,et al.  Competing species dynamics: Qualitative advantage versus geography , 1998, cond-mat/9812361.

[6]  David P. Landau,et al.  Phase transitions and critical phenomena , 1989, Computing in Science & Engineering.

[7]  Gregory Bryan Computing in Science and Engineering , 1999, IEEE Software.

[8]  Marsili,et al.  Nonequilibrium phase transition in a model for social influence , 2000, Physical review letters.

[9]  Bastien Chopard,et al.  An evolution theory in finite size systems , 2000 .

[10]  Dietrich Stauffer,et al.  GENERALIZATION TO SQUARE LATTICE OF SZNAJD SOCIOPHYSICS MODEL , 2000 .

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

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

[13]  Jean-Daniel Zucker,et al.  From Individual Choice to Group Decision Making , 2000 .

[14]  Wolfgang Weidlich,et al.  Sociodynamics: a Systematic Approach to Mathematical Modelling in the Social Sciences , 2000 .

[15]  D. Stauffer The Sznajd Model of Consensus Building with Limited Persuasion , 2001, cond-mat/0111419.

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

[17]  Dietrich Stauffer Percolation And Galam Theory Of Minority Opinion Spreading , 2002 .

[18]  D. Stauffer,et al.  Persistence of opinion in the Sznajd consensus model: computer simulation , 2002 .

[19]  S. Galam,et al.  Killer geometries in competing species dynamics , 2002, cond-mat/0204173.

[20]  K. Sznajd-Weron,et al.  International Journal of Modern Physics C, Vol. 13, No. 1 (2002) 1--9 , 2022 .

[21]  Alessandro Vespignani,et al.  Ordering phase transition in the one-dimensional Axelrod model , 2002 .

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

[23]  K Sznajd-Weron Controlling simple dynamics by a disagreement function. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  F. Slanina,et al.  Analytical results for the Sznajd model of opinion formation , 2003, cond-mat/0305102.

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

[26]  Dietrich Stauffer Sociophysics simulations , 2003, Comput. Sci. Eng..

[27]  Raúl Toral,et al.  Global culture: a noise-induced transition in finite systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  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.

[29]  Raúl Toral,et al.  Nonequilibrium transitions in complex networks: a model of social interaction. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[31]  Serge Galam,et al.  Modelling rumors: the no plane Pentagon French hoax case , 2002, cond-mat/0211571.

[32]  Dietrich Stauffer AIP Conference Proceedings on the Monte Carlo method in the physical sciences, to be edited by J.E. Gubernatis. How to convince others ? Monte Carlo simulations of the Sznajd model , 2003 .

[33]  D. Stauffer Introduction to statistical physics outside physics , 2003, cond-mat/0310037.

[34]  Serge Galam,et al.  Sociophysics: a personal testimony , 2004, physics/0403122.

[35]  B. Huberman,et al.  Social Structure and Opinion Formation , 2004, cond-mat/0407252.

[36]  Dietrich Stauffer,et al.  Simulation of Galam's contrarian opinions on percolative lattices , 2004 .

[37]  S. Galam Contrarian deterministic effects on opinion dynamics: “the hung elections scenario” , 2003, cond-mat/0307404.

[38]  V. Eguíluz,et al.  Globalization, polarization and cultural drift , 2005 .