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

Abstract

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.

7 pages, 8 figures, contribution to the 2nd School and Conference on Computational Modelling, Rio de Janeiro, September 2010 - to appear in Brazilian Journal of Physics

References in corpus (7)

• Opinion evolution in closed community
• Sznajd model and its applications
• Advertising effects in Sznajd marketing model
• Consequence of reputation in an open-ended Naming Game
• Consequence of reputation in the Sznajd consensus model
• Monte Carlo simulations of the Ising and the Sznajd model on growing Barabasi - Albert networks
• Long-range interactions in Sznajd consensus model

Cited by in corpus (11)

• Role of conviction in nonequilibrium models of opinion formation
• Impact of contrarians and intransigents in a kinetic model of opinion dynamics
• Phase transitions in the majority-vote model with two types of noises
• Dynamics of epidemic spreading with vaccination: impact of social pressure and engagement
• Role of noise and agents' convictions on opinion spreading in a three-state voter-like model
• Impact of site dilution and agent diffusion on the critical behavior of the majority-vote model
• Noise-induced absorbing phase transition in a model of opinion formation
• Modeling the evolution of drinking behavior: A Statistical Physics perspective
• Noise and disorder: phase transitions and universality in a model of opinion formation
• Emergence of moderate opinions as a consequence of group pressure
• Universal features of exit probability in opinion dynamics models with domain size dependent dynamics