Discretized opinion dynamics of Deffuant on scale-free networks

The consensus model of Deffuant et al is simplified by allowing for many discrete instead of infinitely many continuous opinions, on a directed Barabasi-Albert network. A simple scaling law is observed. We then introduce noise and also use a more realistic network and compare the results. Finally, we look at a multi-layer model representing various age levels, and we include advertising effects.

[1]  Christian Schulze ADVERTISING, CONSENSUS, AND AGING IN MULTILAYER SZNAJD MODEL , 2004 .

[2]  Stefan Bornholdt,et al.  Emergence of a small world from local interactions: modeling acquaintance networks. , 2002, Physical review letters.

[3]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

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

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

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

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

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

[9]  Beom Jun Kim,et al.  Growing scale-free networks with tunable clustering. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  D. Stauffer,et al.  SIMULATION OF CONSENSUS MODEL OF DEFFUANT et al. ON A BARABÁSI–ALBERT NETWORK , 2004 .

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

[12]  Albert-László Barabási,et al.  Linked: The New Science of Networks , 2002 .

[13]  Dietrich Stauffer Monte Carlo simulations of Sznajd models , 2002, J. Artif. Soc. Soc. Simul..

[14]  Christian Schulze ADVERTISING IN THE SZNAJD MARKETING MODEL , 2003 .

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

[16]  F. Schweitzer Brownian Agents and Active Particles , 2003, Springer Series in Synergetics.