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Mathematics and physics applications in sociodynamics simulation: the case of opinion formation and diffusion

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Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Summary

In this chapter, we briefly review some opinion dynamics models starting from the classical Schelling model and other agent-based modelling examples. We consider both discrete and continuous models and we briefly describe different approaches: discrete dynamical systems and agent-based models, partial differential equations based models, kinetic framework. We also synthesized some comparisons between different methods with the main references in order to further analysis and remarks.

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Authors and Affiliations

  1. Department of Mathematics and ADAMSS Center, Università degli studi di Milano, via Saldini 50, 20133, Milano, Italy

    Giacomo Aletti & Giovanni Naldi

  2. Department of Quantitative methods for Business Economics, Università degli studi di Milano Bicocca, Piazza dell’Ateneo Nuovo 1, 20126, Milano, Italy

    Ahmad K. Naimzada

Authors
  1. Giacomo Aletti
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  2. Ahmad K. Naimzada
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  3. Giovanni Naldi
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Corresponding author

Correspondence to Giacomo Aletti .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via Saldini 50, Milano, 20133, Italy

    Giovanni Naldi

  2. Dipartimento di Matematica, Università di Ferrara, Via Machiavelli, 35, Ferrara, 44100, Italy

    Lorenzo Pareschi

  3. Dipartimento di Matematica, Università di Pavia, Via Ferrata, 1, Pavia, 27100, Italy

    Giuseppe Toscani

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Aletti, G., Naimzada, A.K., Naldi, G. (2010). Mathematics and physics applications in sociodynamics simulation: the case of opinion formation and diffusion. In: Naldi, G., Pareschi, L., Toscani, G. (eds) Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4946-3_8

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