Shooting Method for Opinion Dynamics


Yıldız A., Jond H. B.

46th International Conference on Telecommunications and Signal Processing, TSP 2023, Virtual, Online, Çek Cumhuriyeti, 12 - 14 Temmuz 2023, ss.56-59 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/tsp59544.2023.10197642
  • Basıldığı Şehir: Virtual, Online
  • Basıldığı Ülke: Çek Cumhuriyeti
  • Sayfa Sayıları: ss.56-59
  • Anahtar Kelimeler: Bolza type differential game, Newton's iteration, opinion dynamics, Pontryagin's principle, shooting method
  • TED Üniversitesi Adresli: Evet

Özet

In this paper, we discuss the opinion dynamics of a social network by using the Shooting method based on Newton's iteration upon differential game framework. The technique applies to nonlinear and time-varying systems with non-convex structures as well. This technique consists of three stages. First of all, the analytic solution is obtained for an initial co-state estimate. Secondly, the error of the terminal condition is computed. Finally, the error of the terminal condition is reduced by going one iteration in Newton's method. The effectiveness of the algorithm has been demonstrated for a differential game problem with a leader-follower information structure. The flexibility and the generality of the algorithm indicate that it is a highly promising method.