Consequence of reputation in the Sznajd consensus model

Instituto de Física, Universidade Federal Fluminense, Av. Litorânea s/n, 24210-340 Niterói, RJ, Brazil; Departamento de Física, I3N – Universidade de Aveiro, 3810-193 Aveiro, Portugal; ISB – Universidade Federal do Amazonas, 69460-000 Coari, AM, Brazil
Physics Letters A (Impact Factor: 1.77). 01/2010; DOI: 10.1016/j.physleta.2010.06.036
Source: arXiv

ABSTRACT In this work we study a modified version of the Sznajd sociophysics model. In particular we introduce reputation, a mechanism that limits the capacity of persuasion of the agents. The reputation is introduced as a score which is time-dependent, and its introduction avoid dictatorship (all spins parallel) for a wide range of parameters. The relaxation time follows a log-normal-like distribution. In addition, we show that the usual phase transition also occurs, as in the standard model, and it depends on the initial concentration of individuals following an opinion, occurring at a initial density of up spins greater than 1/2. The transition point is determined by means of a finite-size scaling analysis.

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