Article

# Consequence of reputation in the Sznajd

Departamento de Física, I3N – Universidade de Aveiro, 3810-193 Aveiro, Portugal

Physics Letters A (Impact Factor: 1.68). 07/2010; 374(34):3380-3383. DOI: 10.1016/j.physleta.2010.06.036 Source: arXiv

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Fabricio Luchesi Forgerini, Oct 06, 2015 Available from: Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.

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**ABSTRACT:**a b s t r a c t We consider the problem of enforcing desired behavior in a population of individuals modeled by an Ising model. Although there is a large literature dealing with social interaction models, the problem of controlling behavior in a system modeled by the Ising model seems to be an unexplored field. First, we provide and analytically characterize an optimal policy that may be used to achieve this objective. Second, we show that complex neighborhoods highly influence the decision making process. Third, we use Lagrange multipliers associated to some constraints of a related problem to identify the role of individuals in the system.Physica A: Statistical Mechanics and its Applications 05/2011; 390(9):1695-1703. DOI:10.1016/j.physa.2011.01.006 · 1.73 Impact Factor -
##### Article: The Sznajd model with limited persuasion: competition between high-reputation and hesitant agents

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**ABSTRACT:**In this work we study a modified version of the two-dimensional Sznajd sociophysics model. In particular, we consider the effects of agents' reputations in the persuasion rules. In other words, a high-reputation group with a common opinion may convince their neighbors with probability $p$, which induces an increase of the group's reputation. On the other hand, there is always a probability $q=1-p$ of the neighbors to keep their opinions, which induces a decrease of the group's reputation. These rules describe a competition between groups with high reputation and hesitant agents, which makes the full-consensus states (with all spins pointing in one direction) more difficult to be reached. As consequences, the usual phase transition does not occur for $p<p_{c} \sim 0.69$ and the system presents realistic democracy-like situations, where the majority of spins are aligned in a certain direction, for a wide range of parameters.Journal of Statistical Mechanics Theory and Experiment 08/2011; 11(11). DOI:10.1088/1742-5468/2011/11/P11004 · 2.40 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**In this work we consider the influence of mass media in the dynamics of the two-dimensional Sznajd model. This influence acts as an external field, and it is introduced in the model by means of a probability $p$ of the agents to follow the media opinion. We performed Monte Carlo simulations on square lattices with different sizes, and our numerical results suggest a change on the critical behavior of the model, with the absence of the usual phase transition for $p>\sim 0.18$. Another effect of the probability $p$ is to decrease the average relaxation times $\tau$, that are log-normally distributed, as in the standard model. In addition, the $\tau$ values depend on the lattice size $L$ in a power-law form, $\tau\sim L^{\alpha}$, where the power-law exponent depends on the probability $p$.Physica A: Statistical Mechanics and its Applications 11/2011; 391(4). DOI:10.1016/j.physa.2011.11.038 · 1.73 Impact Factor