The Role of Noise and Initial Conditions in the Asymptotic Solution of a Bounded Confidence, Continuous-Opinion Model

被引:52
作者
Carro, Adrian [1 ]
Toral, Raul [1 ]
San Miguel, Maxi [1 ]
机构
[1] UIB, CSIC, IFISC, Palma De Mallorca 07122, Spain
关键词
Social simulation; Opinion dynamics; Continuous opinions; Bounded confidence; MINORITIES;
D O I
10.1007/s10955-012-0635-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a model for continuous-opinion dynamics under bounded confidence. In particular, we analyze the importance of the initial distribution of opinions in determining the asymptotic configuration. Thus, we sketch the structure of attractors of the dynamical system, by means of the numerical computation of the time evolution of the agents density. We show that, for a given bound of confidence, a consensus can be encouraged or prevented by certain initial conditions. Furthermore, a noisy perturbation is added to the system with the purpose of modeling the free will of the agents. As a consequence, the importance of the initial condition is partially replaced by that of the statistical distribution of the noise. Nevertheless, we still find evidence of the influence of the initial state upon the final configuration for a short range of the bound of confidence parameter.
引用
收藏
页码:131 / 149
页数:19
相关论文
共 15 条
[1]   Bifurcations and patterns in compromise processes [J].
Ben-Naim, E ;
Krapivsky, PL ;
Redner, S .
PHYSICA D-NONLINEAR PHENOMENA, 2003, 183 (3-4) :190-204
[2]   Statistical physics of social dynamics [J].
Castellano, Claudio ;
Fortunato, Santo ;
Loreto, Vittorio .
REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :591-646
[3]   Mixing beliefs among interacting agents [J].
Deffuant, G ;
Neau, D ;
Amblard, F ;
Weisbuch, G .
APPLICATIONS OF SIMULATION TO SOCIAL SCIENCES, 2000, :87-98
[4]  
Hegselmann R, 2002, JASSS-J ARTIF SOC S, V5
[5]  
Krause U, 2000, COMMUNICATIONS IN DIFFERENCE EQUATIONS, P227
[6]   Minorities in a model for opinion formation [J].
Laguna, MF ;
Abramson, G ;
Zanette, DH .
COMPLEXITY, 2004, 9 (04) :31-36
[7]  
Lorenz J, 2005, PROCEEDINGS OF THE FIFTH IASTED INTERNATIONAL CONFERENCE ON MODELLING, SIMULATION, AND OPTIMIZATION, P61
[8]  
Lorenz J, 2007, THESIS U BREMEN
[9]   Continuous opinion dynamics under bounded confidence: A survey [J].
Lorenz, Jan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (12) :1819-1838
[10]   Heterogeneous Bounds of Confidence: Meet, Discuss and Find Consensus! [J].
Lorenz, Jan .
COMPLEXITY, 2010, 15 (04) :43-52