2023/08/20 by Adriano Festa, Festa, Adriano, Simone Göttlich +3 · 2 citations
Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Opinion Dynamics and Social Influence #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2308.10128
openalex publication_date 2023/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
While the general theory for the terminal-initial value problem in mean-field games is widely used in many models of applied mathematics, the modeling potential of the corresponding forward-forward version is still under-considered. In this work, we study the well-posedness of the problem in a quite general setting and explain how it is appropriate to model a system of players that have a complete knowledge of the past states of the system and are adapting to new information without any knowledge about the future. Then we show how forward-forward mean field games can be effectively used in mathematical models for opinion formation and other social phenomena.