A KINETIC APPROACH TO THE STUDY OF OPINION FORMATION

In this work, we use the methods of nonequilibrium statistical mechanics in order to derive an equation which models some mechanisms of opinion formation. After proving the main mathematical properties of the model, we provide some numerical results.

[1]  Giacomo Aletti,et al.  First-Order Continuous Models of Opinion Formation , 2006, SIAM J. Appl. Math..

[2]  Lorenzo Pareschi,et al.  On a Kinetic Model for a Simple Market Economy , 2004, math/0412429.

[3]  W. Steckelmacher.  Molecular gas dynamics and the direct simulation of gas flows , 1996 .

[4]  S. Galam.  Rational group decision making: A random field Ising model at T = 0 , 1997, cond-mat/9702163.

[5]  S. Galam.  Heterogeneous beliefs, segregation, and extremism in the making of public opinions. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Rainer Hegselmann,et al.  Opinion dynamics and bounded confidence: models, analysis and simulation , 2002, J. Artif. Soc. Soc. Simul..

[7]  Jean-Daniel Zucker,et al.  From Individual Choice to Group Decision Making , 2000 .

[8]  E. Ben-Naim.  Opinion dynamics: Rise and fall of political parties , 2004, cond-mat/0411427.

[9]  Guillaume Deffuant,et al.  Mixing beliefs among interacting agents , 2000, Adv. Complex Syst..

[10]  S. Galam,et al.  Sociophysics: A new approach of sociological collective behaviour. I. mean‐behaviour description of a strike , 1982, 2211.07041.

[11]  F. Slanina,et al.  Analytical results for the Sznajd model of opinion formation , 2003, cond-mat/0305102.

[12]  G. Bird.  Molecular Gas Dynamics and the Direct Simulation of Gas Flows , 1994 .

[13]  G. Toscani,et al.  Kinetic models of opinion formation , 2006 .

[14]  F. Slanina.  Inelastically scattering particles and wealth distribution in an open economy. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  S. Galam,et al.  Towards a theory of collective phenomena: Consensus and attitude changes in groups , 1991 .

[16]  Diego Pallara,et al.  Degenerate Self-adjoint Evolution Equations on the Unit Interval , 1998 .

[17]  Dominique Lepelley,et al.  The probability of conflicts in a U.S. presidential type election , 2004 .

[18]  Over-populated tails for conservative-in-the-mean inelastic Maxwell models , 2008, 0801.2626.

[19]  S. Galam.  Contrarian deterministic effects on opinion dynamics: “the hung elections scenario” , 2003, cond-mat/0307404.

[20]  Katarzyna Sznajd-Weron,et al.  Opinion evolution in closed community , 2000, cond-mat/0101130.