Seminar "Coherence-Correlations-Complexity", Dept. of Theoretical Physics, Wrocław University of Technology
Sala 320a bud. A-1, Politechnika Wrocławska
Non-extensive voter model for socio-economic phenomena
dr Aleksejus Kononovicius
Institute of Theoretical Physics and Astronomy, Faculty of Physics, Vilnius University
Voter model is a rather well known model in opinion dynamics. The original premise of the voter model is rather simple, agents copy opinions of their randomly selected neighbors, and thus this model has been extended in numerous directions: various topologies, zealotry, multi-layer networks, multi-agent interactions. Though despite this variety, the model still remains convergent in time series sense. Namely, systems with large number of agents still tend to some stationary point. Having this scaling behavior in mind we refer to the original voter model as the extensive voter model. While finite extensive voter models will still exhibit fluctuations around the stationary point, these fluctuations will be small in comparison to the ones observed in the non-extensive voter model [1]. Non-extensive voter model does not converge in time series sense, instead it converges statistically to a quite broad stationary distribution. Here we will discuss some applications of the non-extensive voter model to finance [2] and social phenomena [3,4].
[1] A. Kononovicius, J. Ruseckas, EPJ B 87: 169 (2014). doi: 10.1140/epjb/e2014-50349-0. arXiv: 1404.0856 [physics.soc-ph].
[2] A. Kononovicius, V. Gontis, Physica A 391: 1309-1314 (2012). doi: 10.1016/j.physa.2011.08.061. arXiv: 1106.2685 [q-fin.ST].
[3] A. Kononovicius, Complexity 2017: 7354642. doi: 10.1155/2017/7354642. arXiv: 1704.02101 [physics.soc-ph].
[4] A. Kononovicius, accepted to J. Stat. Mech., arXiv: 1906.01842 [physics.soc-ph].
