Kinetic model for multidimensional opinion formation

被引:20
作者
Boudin, Laurent [1 ,2 ]
Monaco, Roberto [3 ]
Salvarani, Francesco [4 ]
机构
[1] Univ Paris 06, UMR 7598, LJLL, F-75005 Paris, France
[2] INRIA Paris Rocquencourt, REO Project Team, F-78153 Le Chesnay, France
[3] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy
[4] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
来源
PHYSICAL REVIEW E | 2010年 / 81卷 / 03期
关键词
FOKKER-PLANCK EQUATIONS; BOLTZMANN-LIKE; SOCIOPHYSICS; BEHAVIOR;
D O I
10.1103/PhysRevE.81.036109
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In this paper, we deal with a kinetic model to describe the evolution of the opinion in a closed group with respect to a choice between multiple options (e.g., political parties), which takes into account two main mechanisms of opinion formation, namely, the interaction between individuals and the effect of the mass media. We numerically test the model in some relevant cases and eventually provide an existence and a uniqueness result for it.
引用
收藏
页数:9
相关论文
共 20 条
[1]   Opinion dynamics: Rise and fall of political parties [J].
Ben-Naim, E .
EUROPHYSICS LETTERS, 2005, 69 (05) :671-677
[2]   Unity and discord in opinion dynamics [J].
Ben-Naim, E ;
Krapivsky, PL ;
Vazquez, F ;
Redner, S .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 330 (1-2) :99-106
[3]   Bifurcations and patterns in compromise processes [J].
Ben-Naim, E ;
Krapivsky, PL ;
Redner, S .
PHYSICA D-NONLINEAR PHENOMENA, 2003, 183 (3-4) :190-204
[4]  
Bird G.A., 1995, OXFORD ENG SCI SERIE, V42
[5]  
BOUDIN L, PHYS A STAT MECH, V391, P5672
[6]   THE QUASI-INVARIANT LIMIT FOR A KINETIC MODEL OF SOCIOLOGICAL COLLECTIVE BEHAVIOR [J].
Boudin, Laurent ;
Salvarani, Francesco .
KINETIC AND RELATED MODELS, 2009, 2 (03) :433-449
[7]   A KINETIC APPROACH TO THE STUDY OF OPINION FORMATION [J].
Boudin, Laurent ;
Salvarani, Francesco .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2009, 43 (03) :507-522
[8]   A BOLTZMANN-LIKE EQUATION FOR CHOICE FORMATION [J].
Comincioli, Valeriano ;
Della Croce, Lucia ;
Toscani, Giuseppe .
KINETIC AND RELATED MODELS, 2009, 2 (01) :135-149
[9]   Mixing beliefs among interacting agents [J].
Deffuant, G ;
Neau, D ;
Amblard, F ;
Weisbuch, G .
APPLICATIONS OF SIMULATION TO SOCIAL SCIENCES, 2000, :87-98
[10]   Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders [J].
Duering, Bertram ;
Markowich, Peter ;
Pietschmann, Jan-Frederik ;
Wolfram, Marie-Therese .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 465 (2112) :3687-3708