Opinion Formation in the Kinetic Exchange Models

  • Anirban Chakraborti
  • Bikas K. Chakrabarti
Part of the New Economic Windows book series (NEW)


We review the minimal multi-agent model (LCCC) for the collective dynamics of opinion formation in the society, which was based on the kinetic exchange dynamics studied in the context of income, money or wealth distributions in a society. This model has an intriguing spontaneous symmetry breaking transition to polarized opinion state starting from non-polarized opinion state. We also briefly review the simple variants and extensions of this model that have been proposed recently.


Opinion Formation Steady State Distribution Wealth Distribution Collective Dynamic Kinetic Exchange 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    B.K. Chakrabarti, A. Chakraborti and A. Chatterjee (Eds.), Econophysics and Sociophysics: Trends and Perspectives (Wiley-VCH, Berlin, 2006)Google Scholar
  2. 2.
    C. Castellano, S. Fortunato, and V. Loreto, Rev. Mod. Phys. 81, 591 (2009)CrossRefGoogle Scholar
  3. 3.
    C. Schulze and D. Stauffer, in [1], p 311; G. Weisbuch, in [1], p 339; S. Galam, in [1], p 367CrossRefGoogle Scholar
  4. 4.
    R. A. Holley and T.M. Liggett, Ann. Probab. 3, 643 (1975)CrossRefGoogle Scholar
  5. 5.
    K. Sznajd-Weron and J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000)Google Scholar
  6. 6.
    F. Vazquez, P.L. Krapivsky, and S. Redner, J. Phys. A 36, L61 (2003)Google Scholar
  7. 7.
    R. Hegselman, U. Krause, J. Artif. Soc. Soc. Simul. 5, 2 (2002)Google Scholar
  8. 8.
    G. Deffuant, D. Neau, F. Amblard, and G. Weisbuch, Adv. Complex Syst. 3, 87 (2000)CrossRefGoogle Scholar
  9. 9.
    S. Fortunato, Int. J. Mod. Phys. C 16, 17 (2005)Google Scholar
  10. 10.
    V. Yakovenko, J. Rosser, Rev. Mod. Phys. 81, 1703 (2009)CrossRefGoogle Scholar
  11. 11.
    A. Chatterjee, B.K. Chakrabarti, Eur. Phys. J. B 60, 135 (2007)Google Scholar
  12. 12.
    M. Patriarca, E. Heinsalu, A. Chakraborti, Eur. Phys. J. B 73, 145 (2010)Google Scholar
  13. 13.
    A. Chakraborti, I. Muni Toke, M. Patriarca, F. Abergel, arXiv:0909.1974v2 (2010)Google Scholar
  14. 14.
    P. L. Krapivsky, S. Redner, Science and Culture (Kolkata) 76, 424 (2010); arXiv:1006.4595 [physics.soc-ph]Google Scholar
  15. 15.
    A. Chakraborti, B.K. Chakrabarti, Eur. Phys. J. B 17, 167 (2000)Google Scholar
  16. 16.
    A. Chakraborti, M. Patriarca, Pramana 71, 233 (2008)CrossRefGoogle Scholar
  17. 17.
    M. Patriarca, A. Chakraborti, K. Kaski, Phys. Rev. E 70, 016104 (2004)Google Scholar
  18. 18.
    A. Chatterjee, B.K. Chakrabarti, S.S. Manna, Physica A 335, 155 (2004)Google Scholar
  19. 19.
    P.K. Mohanty, Phys. Rev. E 74, 011117 (2006)CrossRefGoogle Scholar
  20. 20.
    A. Chakraborti, M. Patriarca, Phys. Rev. Lett. 103, 228701 (2009)CrossRefGoogle Scholar
  21. 21.
    P. Repetowicz, S. Hutzler, P. Richmond, Physica A 356, 641 (2005)CrossRefGoogle Scholar
  22. 22.
    D. Matthes, G. Toscani, J. Stat. Phys. 130, 1087 (2008); F. Bassetti, G. Toscani, arxiv:1002.3689 (2010)CrossRefGoogle Scholar
  23. 23.
    G. Toscani, Commun. Math. Sci. 4, 481 (2006)Google Scholar
  24. 24.
    B. During, P. Markowich, J.-F. Pietschmann and M.-T. Wolfram, Proc. R. Soc. A 465, 3687 (2009)Google Scholar
  25. 25.
    M. Lallouache, A. Chakraborti and B.K. Chakrabarti, Science and Culture (Kolkata) 76, 485(2010); arXiv:1006.5921 [physics.soc-ph]Google Scholar
  26. 26.
    M. Lallouache, A.S. Chakrabarti, A. Chakraborti and B.K. Chakrabarti, Phys. Rev. E 82, 056112 (2010)CrossRefGoogle Scholar
  27. 27.
    M. Marsili, private communicationGoogle Scholar
  28. 28.
    O. Al Hammal, H. Chaté, I. Dornic, and M.A. Muñoz, Phys. Rev. Lett. 94, 230601 (2005)CrossRefGoogle Scholar
  29. 29.
    P. Sen, arXiv:1009.4315 (2010)Google Scholar
  30. 30.
    S. Biswas, A.K. Chandra, A. Chatterjee, arxiv:1010:3190 (2010)Google Scholar
  31. 31.
    Y. Ozeki, N. Ito, J. Phys. A: Math Theor. 40, R149 (2007)CrossRefGoogle Scholar
  32. 32.
    M. Lallouache, A. Chakraborti, B.K. Chakrabarti and K. Kaski, in preparationGoogle Scholar

Copyright information

© Springer-Verlag Italia 2011

Authors and Affiliations

  • Anirban Chakraborti
    • 1
  • Bikas K. Chakrabarti
    • 2
    • 3
  1. 1.Laboratory of Mathematics Applied to SystemsÉcole Centrale ParisChâtenay-MalabryFrance
  2. 2.Centre for Applied Mathematics and Computational ScienceSaha Institute of Nuclear PhysicsKolkataIndia
  3. 3.Economic Research UnitIndian Statistical InstituteKolkataIndia

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