Competition among reputations in the 2D Sznajd model: Spontaneous emergence of democratic states

Details Competition among reputations in the 2D Sznajd model: Spontaneous emergence of democratic states Competition among reputations in the 2D Sznajd model: Spontaneous emergence of democratic states

2011-12-28

arxiv.org/abs/1112.6108v1

Braz. J. Phys. 42, 125 (2012)

Physics

Physics and Society

7 pages, 8 figures, contribution to the 2nd School and Conference on Computational Modelling, Rio de Janeiro, September 2010 -

Scientific paper

10.1007/s13538-011-0055-9

We propose a modification in the Sznajd sociophysics model defined on the square lattice. For this purpose, we consider reputation-a mechanism limiting the agents' persuasive power. The reputation is introduced as a time-dependent score, which can be positive or negative. This mechanism avoids dictatorship (full consensus, all spins parallel) for a wide range of model parameters. We consider two different situations: case 1, in which the agents' reputation increases for each persuaded neighbor, and case 2, in which the agents' reputation increases for each persuasion and decreases when a neighbor keeps his opinion. Our results show that the introduction of reputation avoids full consensus even for initial densities of up spins greater than 1/2. The relaxation times follow a log-normal-like distribution in both cases, but they are larger in case 2 due to the competition among reputations. In addition, we show that the usual phase transition occurs and depends on the initial concentration $d$ of individuals with the same opinion, but the critical points $d_{c}$ in the two cases are different.

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